TSTP Solution File: SYO879^1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SYO879^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 21:07:17 EDT 2024
% Result : Theorem 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO879^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jun 23 06:38:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a TH0_THM_EQU_NAR problem
% 0.13/0.36 Running higher-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.13/0.39 % (1656)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.39 % (1655)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.39 % (1658)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.13/0.39 % (1660)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.39 % (1661)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.39 % (1662)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.39 % (1660)Instruction limit reached!
% 0.13/0.39 % (1660)------------------------------
% 0.13/0.39 % (1660)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (1660)Termination reason: Unknown
% 0.13/0.39 % (1660)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (1660)Memory used [KB]: 1151
% 0.13/0.39 % (1660)Time elapsed: 0.003 s
% 0.13/0.39 % (1660)Instructions burned: 2 (million)
% 0.13/0.39 % (1660)------------------------------
% 0.13/0.39 % (1660)------------------------------
% 0.13/0.39 % (1656)Instruction limit reached!
% 0.13/0.39 % (1656)------------------------------
% 0.13/0.39 % (1656)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (1656)Termination reason: Unknown
% 0.13/0.39 % (1656)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (1656)Memory used [KB]: 1279
% 0.13/0.39 % (1656)Time elapsed: 0.004 s
% 0.13/0.39 % (1656)Instructions burned: 4 (million)
% 0.13/0.39 % (1656)------------------------------
% 0.13/0.39 % (1656)------------------------------
% 0.13/0.39 % (1659)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.39 % (1659)Instruction limit reached!
% 0.13/0.39 % (1659)------------------------------
% 0.13/0.39 % (1659)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (1659)Termination reason: Unknown
% 0.13/0.39 % (1659)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (1659)Memory used [KB]: 1279
% 0.13/0.39 % (1659)Time elapsed: 0.004 s
% 0.13/0.39 % (1659)Instructions burned: 2 (million)
% 0.13/0.39 % (1659)------------------------------
% 0.13/0.39 % (1659)------------------------------
% 0.22/0.40 % (1662)Instruction limit reached!
% 0.22/0.40 % (1662)------------------------------
% 0.22/0.40 % (1662)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.40 % (1662)Termination reason: Unknown
% 0.22/0.40 % (1662)Termination phase: Property scanning
% 0.22/0.40
% 0.22/0.40 % (1662)Memory used [KB]: 1535
% 0.22/0.40 % (1662)Time elapsed: 0.013 s
% 0.22/0.40 % (1662)Instructions burned: 19 (million)
% 0.22/0.40 % (1662)------------------------------
% 0.22/0.40 % (1662)------------------------------
% 0.22/0.40 % (1658)Instruction limit reached!
% 0.22/0.40 % (1658)------------------------------
% 0.22/0.40 % (1658)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.40 % (1658)Termination reason: Unknown
% 0.22/0.40 % (1658)Termination phase: Property scanning
% 0.22/0.40
% 0.22/0.40 % (1658)Memory used [KB]: 1535
% 0.22/0.40 % (1658)Time elapsed: 0.017 s
% 0.22/0.40 % (1658)Instructions burned: 28 (million)
% 0.22/0.40 % (1658)------------------------------
% 0.22/0.40 % (1658)------------------------------
% 0.22/0.41 % (1672)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (1673)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.41 % (1661)Refutation not found, incomplete strategy
% 0.22/0.41 % (1661)------------------------------
% 0.22/0.41 % (1661)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (1661)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.41
% 0.22/0.41
% 0.22/0.41 % (1661)Memory used [KB]: 6012
% 0.22/0.41 % (1661)Time elapsed: 0.020 s
% 0.22/0.41 % (1661)Instructions burned: 32 (million)
% 0.22/0.41 % (1661)------------------------------
% 0.22/0.41 % (1661)------------------------------
% 0.22/0.41 % (1672)Instruction limit reached!
% 0.22/0.41 % (1672)------------------------------
% 0.22/0.41 % (1672)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (1672)Termination reason: Unknown
% 0.22/0.41 % (1672)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (1672)Memory used [KB]: 1279
% 0.22/0.41 % (1672)Time elapsed: 0.004 s
% 0.22/0.41 % (1672)Instructions burned: 4 (million)
% 0.22/0.41 % (1672)------------------------------
% 0.22/0.41 % (1672)------------------------------
% 0.22/0.41 % (1675)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.42 % (1684)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42 % (1684)Instruction limit reached!
% 0.22/0.42 % (1684)------------------------------
% 0.22/0.42 % (1684)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (1684)Termination reason: Unknown
% 0.22/0.42 % (1684)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (1684)Memory used [KB]: 1279
% 0.22/0.42 % (1684)Time elapsed: 0.004 s
% 0.22/0.42 % (1684)Instructions burned: 3 (million)
% 0.22/0.42 % (1684)------------------------------
% 0.22/0.42 % (1684)------------------------------
% 0.22/0.42 % (1675)Instruction limit reached!
% 0.22/0.42 % (1675)------------------------------
% 0.22/0.42 % (1675)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (1675)Termination reason: Unknown
% 0.22/0.42 % (1675)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (1675)Memory used [KB]: 1535
% 0.22/0.42 % (1675)Time elapsed: 0.011 s
% 0.22/0.42 % (1675)Instructions burned: 16 (million)
% 0.22/0.42 % (1675)------------------------------
% 0.22/0.42 % (1675)------------------------------
% 0.22/0.42 % (1687)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.43 % (1691)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43 % (1693)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (1673)Instruction limit reached!
% 0.22/0.43 % (1673)------------------------------
% 0.22/0.43 % (1673)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (1673)Termination reason: Unknown
% 0.22/0.43 % (1673)Termination phase: Function definition elimination
% 0.22/0.43
% 0.22/0.43 % (1673)Memory used [KB]: 1535
% 0.22/0.43 % (1673)Time elapsed: 0.020 s
% 0.22/0.43 % (1673)Instructions burned: 37 (million)
% 0.22/0.43 % (1673)------------------------------
% 0.22/0.43 % (1673)------------------------------
% 0.22/0.43 % (1691)Instruction limit reached!
% 0.22/0.43 % (1691)------------------------------
% 0.22/0.43 % (1691)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (1691)Termination reason: Unknown
% 0.22/0.43 % (1691)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (1691)Memory used [KB]: 1279
% 0.22/0.43 % (1691)Time elapsed: 0.006 s
% 0.22/0.43 % (1691)Instructions burned: 8 (million)
% 0.22/0.43 % (1691)------------------------------
% 0.22/0.43 % (1691)------------------------------
% 0.22/0.43 % (1693)Instruction limit reached!
% 0.22/0.43 % (1693)------------------------------
% 0.22/0.43 % (1693)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (1693)Termination reason: Unknown
% 0.22/0.43 % (1693)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (1693)Memory used [KB]: 1535
% 0.22/0.43 % (1693)Time elapsed: 0.011 s
% 0.22/0.43 % (1693)Instructions burned: 16 (million)
% 0.22/0.43 % (1693)------------------------------
% 0.22/0.43 % (1693)------------------------------
% 0.22/0.43 % (1695)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (1696)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (1695)Instruction limit reached!
% 0.22/0.44 % (1695)------------------------------
% 0.22/0.44 % (1695)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (1695)Termination reason: Unknown
% 0.22/0.44 % (1695)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (1695)Memory used [KB]: 1279
% 0.22/0.44 % (1695)Time elapsed: 0.004 s
% 0.22/0.44 % (1695)Instructions burned: 3 (million)
% 0.22/0.44 % (1695)------------------------------
% 0.22/0.44 % (1695)------------------------------
% 0.22/0.44 % (1696)Instruction limit reached!
% 0.22/0.44 % (1696)------------------------------
% 0.22/0.44 % (1696)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (1696)Termination reason: Unknown
% 0.22/0.44 % (1696)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (1696)Memory used [KB]: 1279
% 0.22/0.44 % (1696)Time elapsed: 0.005 s
% 0.22/0.44 % (1696)Instructions burned: 4 (million)
% 0.22/0.44 % (1696)------------------------------
% 0.22/0.44 % (1696)------------------------------
% 0.22/0.44 % (1700)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.45 % (1704)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45 % (1700)Instruction limit reached!
% 0.22/0.45 % (1700)------------------------------
% 0.22/0.45 % (1700)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (1700)Termination reason: Unknown
% 0.22/0.45 % (1700)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (1700)Memory used [KB]: 1279
% 0.22/0.45 % (1700)Time elapsed: 0.006 s
% 0.22/0.45 % (1700)Instructions burned: 8 (million)
% 0.22/0.45 % (1700)------------------------------
% 0.22/0.45 % (1700)------------------------------
% 0.22/0.45 % (1704)Instruction limit reached!
% 0.22/0.45 % (1704)------------------------------
% 0.22/0.45 % (1704)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (1704)Termination reason: Unknown
% 0.22/0.45 % (1704)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (1704)Memory used [KB]: 1279
% 0.22/0.45 % (1704)Time elapsed: 0.004 s
% 0.22/0.45 % (1704)Instructions burned: 3 (million)
% 0.22/0.45 % (1704)------------------------------
% 0.22/0.45 % (1704)------------------------------
% 0.22/0.45 % (1705)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.45 % (1705)Instruction limit reached!
% 0.22/0.45 % (1705)------------------------------
% 0.22/0.45 % (1705)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (1705)Termination reason: Unknown
% 0.22/0.45 % (1705)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (1705)Memory used [KB]: 1279
% 0.22/0.45 % (1705)Time elapsed: 0.005 s
% 0.22/0.45 % (1705)Instructions burned: 5 (million)
% 0.22/0.45 % (1705)------------------------------
% 0.22/0.45 % (1705)------------------------------
% 0.22/0.45 % (1707)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.46 % (1706)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.46 % (1714)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (1715)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.47 % (1714)Instruction limit reached!
% 0.22/0.47 % (1714)------------------------------
% 0.22/0.47 % (1714)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (1706)Instruction limit reached!
% 0.22/0.47 % (1706)------------------------------
% 0.22/0.47 % (1706)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (1714)Termination reason: Unknown
% 0.22/0.47 % (1714)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (1714)Memory used [KB]: 1279
% 0.22/0.47 % (1714)Time elapsed: 0.006 s
% 0.22/0.47 % (1714)Instructions burned: 7 (million)
% 0.22/0.47 % (1714)------------------------------
% 0.22/0.47 % (1714)------------------------------
% 0.22/0.47 % (1706)Termination reason: Unknown
% 0.22/0.47 % (1706)Termination phase: Property scanning
% 0.22/0.47
% 0.22/0.47 % (1706)Memory used [KB]: 1535
% 0.22/0.47 % (1706)Time elapsed: 0.010 s
% 0.22/0.47 % (1706)Instructions burned: 18 (million)
% 0.22/0.47 % (1706)------------------------------
% 0.22/0.47 % (1706)------------------------------
% 0.22/0.47 % (1719)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.48 % (1724)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.48 % (1724)Instruction limit reached!
% 0.22/0.48 % (1724)------------------------------
% 0.22/0.48 % (1724)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (1724)Termination reason: Unknown
% 0.22/0.48 % (1724)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (1724)Memory used [KB]: 1279
% 0.22/0.48 % (1724)Time elapsed: 0.003 s
% 0.22/0.48 % (1724)Instructions burned: 6 (million)
% 0.22/0.48 % (1724)------------------------------
% 0.22/0.48 % (1724)------------------------------
% 0.22/0.48 % (1719)Instruction limit reached!
% 0.22/0.48 % (1719)------------------------------
% 0.22/0.48 % (1719)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (1719)Termination reason: Unknown
% 0.22/0.48 % (1719)Termination phase: Property scanning
% 0.22/0.48
% 0.22/0.48 % (1719)Memory used [KB]: 1535
% 0.22/0.48 % (1719)Time elapsed: 0.014 s
% 0.22/0.48 % (1719)Instructions burned: 23 (million)
% 0.22/0.48 % (1719)------------------------------
% 0.22/0.48 % (1719)------------------------------
% 0.22/0.48 % (1725)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.48 % (1725)Instruction limit reached!
% 0.22/0.48 % (1725)------------------------------
% 0.22/0.48 % (1725)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (1725)Termination reason: Unknown
% 0.22/0.48 % (1725)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (1725)Memory used [KB]: 1279
% 0.22/0.48 % (1725)Time elapsed: 0.005 s
% 0.22/0.48 % (1725)Instructions burned: 6 (million)
% 0.22/0.48 % (1725)------------------------------
% 0.22/0.48 % (1725)------------------------------
% 0.22/0.49 % (1715)Refutation not found, incomplete strategy
% 0.22/0.49 % (1715)------------------------------
% 0.22/0.49 % (1715)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (1715)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (1715)Memory used [KB]: 6140
% 0.22/0.49 % (1715)Time elapsed: 0.026 s
% 0.22/0.49 % (1715)Instructions burned: 54 (million)
% 0.22/0.49 % (1715)------------------------------
% 0.22/0.49 % (1715)------------------------------
% 0.22/0.49 % (1729)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.49 % (1655)Instruction limit reached!
% 0.22/0.49 % (1655)------------------------------
% 0.22/0.49 % (1655)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (1655)Termination reason: Unknown
% 0.22/0.49 % (1655)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (1655)Memory used [KB]: 7419
% 0.22/0.49 % (1655)Time elapsed: 0.106 s
% 0.22/0.49 % (1655)Instructions burned: 185 (million)
% 0.22/0.49 % (1655)------------------------------
% 0.22/0.49 % (1655)------------------------------
% 0.22/0.49 % (1730)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.22/0.50 % (1735)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.22/0.50 % (1732)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.22/0.50 % (1736)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.51 % (1732)Instruction limit reached!
% 0.22/0.51 % (1732)------------------------------
% 0.22/0.51 % (1732)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51 % (1732)Termination reason: Unknown
% 0.22/0.51 % (1732)Termination phase: Property scanning
% 0.22/0.51
% 0.22/0.51 % (1732)Memory used [KB]: 1535
% 0.22/0.51 % (1732)Time elapsed: 0.010 s
% 0.22/0.51 % (1732)Instructions burned: 21 (million)
% 0.22/0.51 % (1732)------------------------------
% 0.22/0.51 % (1732)------------------------------
% 0.22/0.51 % (1736)Instruction limit reached!
% 0.22/0.51 % (1736)------------------------------
% 0.22/0.51 % (1736)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.51 % (1736)Termination reason: Unknown
% 0.22/0.51 % (1736)Termination phase: Property scanning
% 0.22/0.51
% 0.22/0.51 % (1736)Memory used [KB]: 1535
% 0.22/0.51 % (1736)Time elapsed: 0.007 s
% 0.22/0.51 % (1736)Instructions burned: 17 (million)
% 0.22/0.51 % (1736)------------------------------
% 0.22/0.51 % (1736)------------------------------
% 0.22/0.52 % (1737)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.52 % (1738)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.52 % (1737)Instruction limit reached!
% 0.22/0.52 % (1737)------------------------------
% 0.22/0.52 % (1737)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.52 % (1737)Termination reason: Unknown
% 0.22/0.52 % (1737)Termination phase: shuffling
% 0.22/0.52
% 0.22/0.52 % (1737)Memory used [KB]: 1279
% 0.22/0.52 % (1737)Time elapsed: 0.003 s
% 0.22/0.52 % (1737)Instructions burned: 4 (million)
% 0.22/0.52 % (1737)------------------------------
% 0.22/0.52 % (1737)------------------------------
% 0.22/0.52 % (1729)First to succeed.
% 0.22/0.53 % (1738)Instruction limit reached!
% 0.22/0.53 % (1738)------------------------------
% 0.22/0.53 % (1738)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.53 % (1738)Termination reason: Unknown
% 0.22/0.53 % (1738)Termination phase: Property scanning
% 0.22/0.53
% 0.22/0.53 % (1738)Memory used [KB]: 1535
% 0.22/0.53 % (1738)Time elapsed: 0.011 s
% 0.22/0.53 % (1738)Instructions burned: 31 (million)
% 0.22/0.53 % (1738)------------------------------
% 0.22/0.53 % (1738)------------------------------
% 0.22/0.53 % (1739)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.22/0.53 % (1729)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Theorem for theBenchmark
% 0.22/0.53 % SZS output start Proof for theBenchmark
% 0.22/0.53 thf(func_def_0, type, c_Eps_i: ($i > $o) > $i).
% 0.22/0.53 thf(func_def_3, type, c_not: $o > $o).
% 0.22/0.53 thf(func_def_4, type, c_and: $o > $o > $o).
% 0.22/0.53 thf(func_def_5, type, c_or: $o > $o > $o).
% 0.22/0.53 thf(func_def_6, type, c_iff: $o > $o > $o).
% 0.22/0.53 thf(func_def_7, type, c_In: $i > $i > $o).
% 0.22/0.53 thf(func_def_8, type, c_Subq: $i > $i > $o).
% 0.22/0.53 thf(func_def_10, type, c_Union: $i > $i).
% 0.22/0.53 thf(func_def_11, type, c_Power: $i > $i).
% 0.22/0.53 thf(func_def_12, type, c_Repl: $i > ($i > $i) > $i).
% 0.22/0.53 thf(func_def_13, type, c_TransSet: $i > $o).
% 0.22/0.53 thf(func_def_14, type, c_atleast2: $i > $o).
% 0.22/0.53 thf(func_def_15, type, c_atleast3: $i > $o).
% 0.22/0.53 thf(func_def_16, type, c_atleast4: $i > $o).
% 0.22/0.53 thf(func_def_17, type, c_atleast5: $i > $o).
% 0.22/0.53 thf(func_def_18, type, c_atleast6: $i > $o).
% 0.22/0.53 thf(func_def_19, type, c_exactly2: $i > $o).
% 0.22/0.53 thf(func_def_20, type, c_exactly3: $i > $o).
% 0.22/0.53 thf(func_def_21, type, c_exactly4: $i > $o).
% 0.22/0.53 thf(func_def_22, type, c_exactly5: $i > $o).
% 0.22/0.53 thf(func_def_23, type, c_exu_i: ($i > $o) > $o).
% 0.22/0.53 thf(func_def_24, type, c_reflexive_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_25, type, c_irreflexive_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_26, type, c_symmetric_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_27, type, c_antisymmetric_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_28, type, c_transitive_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_29, type, c_eqreln_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_30, type, c_per_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_31, type, c_linear_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_32, type, c_trichotomous_or_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_33, type, c_partialorder_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_34, type, c_totalorder_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_35, type, c_strictpartialorder_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_36, type, c_stricttotalorder_i: ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_37, type, c_If_i: $o > $i > $i > $i).
% 0.22/0.53 thf(func_def_38, type, c_exactly1of2: $o > $o > $o).
% 0.22/0.53 thf(func_def_39, type, c_exactly1of3: $o > $o > $o > $o).
% 0.22/0.53 thf(func_def_40, type, c_nIn: $i > $i > $o).
% 0.22/0.53 thf(func_def_41, type, c_nSubq: $i > $i > $o).
% 0.22/0.53 thf(func_def_42, type, c_UPair: $i > $i > $i).
% 0.22/0.53 thf(func_def_43, type, c_Sing: $i > $i).
% 0.22/0.53 thf(func_def_44, type, c_binunion: $i > $i > $i).
% 0.22/0.53 thf(func_def_45, type, c_SetAdjoin: $i > $i > $i).
% 0.22/0.53 thf(func_def_46, type, c_famunion: $i > ($i > $i) > $i).
% 0.22/0.53 thf(func_def_47, type, c_Sep: $i > ($i > $o) > $i).
% 0.22/0.53 thf(func_def_48, type, c_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 0.22/0.53 thf(func_def_49, type, c_binintersect: $i > $i > $i).
% 0.22/0.53 thf(func_def_50, type, c_setminus: $i > $i > $i).
% 0.22/0.53 thf(func_def_51, type, c_inj: $i > $i > ($i > $i) > $o).
% 0.22/0.53 thf(func_def_52, type, c_bij: $i > $i > ($i > $i) > $o).
% 0.22/0.53 thf(func_def_53, type, c_atleastp: $i > $i > $o).
% 0.22/0.53 thf(func_def_54, type, c_equip: $i > $i > $o).
% 0.22/0.53 thf(func_def_55, type, c_In_rec_poly_G_i: ($i > ($i > $i) > $i) > $i > $i > $o).
% 0.22/0.53 thf(func_def_56, type, c_In_rec_poly_i: ($i > ($i > $i) > $i) > $i > $i).
% 0.22/0.53 thf(func_def_57, type, c_ordsucc: $i > $i).
% 0.22/0.53 thf(func_def_58, type, c_nat_p: $i > $o).
% 0.22/0.53 thf(func_def_59, type, c_nat_primrec: $i > ($i > $i > $i) > $i > $i).
% 0.22/0.53 thf(func_def_60, type, c_add_nat: $i > $i > $i).
% 0.22/0.53 thf(func_def_61, type, c_mul_nat: $i > $i > $i).
% 0.22/0.53 thf(func_def_62, type, c_ordinal: $i > $o).
% 0.22/0.53 thf(func_def_63, type, c_V_: $i > $i).
% 0.22/0.53 thf(func_def_64, type, c_Inj1: $i > $i).
% 0.22/0.53 thf(func_def_65, type, c_Inj0: $i > $i).
% 0.22/0.53 thf(func_def_66, type, c_Unj: $i > $i).
% 0.22/0.53 thf(func_def_67, type, c_combine_funcs: $i > $i > ($i > $i) > ($i > $i) > $i > $i).
% 0.22/0.53 thf(func_def_68, type, c_setsum: $i > $i > $i).
% 0.22/0.53 thf(func_def_69, type, c_proj0: $i > $i).
% 0.22/0.53 thf(func_def_70, type, c_proj1: $i > $i).
% 0.22/0.53 thf(func_def_71, type, c_binrep: $i > $i > $i).
% 0.22/0.53 thf(func_def_72, type, c_lam: $i > ($i > $i) > $i).
% 0.22/0.53 thf(func_def_73, type, c_setprod: $i > $i > $i).
% 0.22/0.53 thf(func_def_74, type, c_ap: $i > $i > $i).
% 0.22/0.53 thf(func_def_75, type, c_setsum_p: $i > $o).
% 0.22/0.53 thf(func_def_76, type, c_tuple_p: $i > $i > $o).
% 0.22/0.53 thf(func_def_77, type, c_Pi: $i > ($i > $i) > $i).
% 0.22/0.53 thf(func_def_78, type, c_setexp: $i > $i > $i).
% 0.22/0.53 thf(func_def_79, type, c_Sep2: $i > ($i > $i) > ($i > $i > $o) > $i).
% 0.22/0.53 thf(func_def_80, type, c_set_of_pairs: $i > $o).
% 0.22/0.53 thf(func_def_81, type, c_lam2: $i > ($i > $i) > ($i > $i > $i) > $i).
% 0.22/0.53 thf(func_def_82, type, c_PNoEq_: $i > ($i > $o) > ($i > $o) > $o).
% 0.22/0.53 thf(func_def_83, type, c_PNoLt_: $i > ($i > $o) > ($i > $o) > $o).
% 0.22/0.53 thf(func_def_84, type, c_PNoLt: $i > ($i > $o) > $i > ($i > $o) > $o).
% 0.22/0.53 thf(func_def_85, type, c_PNoLe: $i > ($i > $o) > $i > ($i > $o) > $o).
% 0.22/0.53 thf(func_def_86, type, c_PNo_downc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 0.22/0.53 thf(func_def_87, type, c_PNo_upc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 0.22/0.53 thf(func_def_88, type, c_SNoElts_: $i > $i).
% 0.22/0.53 thf(func_def_89, type, c_SNo_: $i > $i > $o).
% 0.22/0.53 thf(func_def_90, type, c_PSNo: $i > ($i > $o) > $i).
% 0.22/0.53 thf(func_def_91, type, c_SNo: $i > $o).
% 0.22/0.53 thf(func_def_92, type, c_SNoLev: $i > $i).
% 0.22/0.53 thf(func_def_93, type, c_SNoEq_: $i > $i > $i > $o).
% 0.22/0.53 thf(func_def_94, type, c_SNoLt: $i > $i > $o).
% 0.22/0.53 thf(func_def_95, type, c_SNoLe: $i > $i > $o).
% 0.22/0.53 thf(func_def_96, type, c_binop_on: $i > ($i > $i > $i) > $o).
% 0.22/0.53 thf(func_def_97, type, c_Loop: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > $o).
% 0.22/0.53 thf(func_def_98, type, c_Loop_with_defs: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 0.22/0.53 thf(func_def_99, type, c_Loop_with_defs_cex1: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 0.22/0.53 thf(func_def_100, type, c_Loop_with_defs_cex2: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 0.22/0.53 thf(func_def_101, type, c_combinator: $i > $o).
% 0.22/0.53 thf(func_def_102, type, c_combinator_equiv: $i > $i > $o).
% 0.22/0.53 thf(func_def_103, type, c_equip_mod: $i > $i > $i > $o).
% 0.22/0.53 thf(func_def_131, type, sP0: ($i > $o) > $o).
% 0.22/0.53 thf(func_def_132, type, sP1: ($i > $o) > $o).
% 0.22/0.53 thf(func_def_133, type, sK2: ($i > $o) > $i).
% 0.22/0.53 thf(func_def_134, type, sK3: ($i > $o) > $i).
% 0.22/0.53 thf(func_def_135, type, sK4: ($i > $o) > $i > $i).
% 0.22/0.53 thf(func_def_136, type, sK5: ($i > $o) > $i).
% 0.22/0.53 thf(func_def_137, type, sK6: ($i > $o) > $i).
% 0.22/0.53 thf(func_def_138, type, sK7: ($i > $o) > $i).
% 0.22/0.53 thf(func_def_139, type, sK8: ($i > $o) > $i).
% 0.22/0.53 thf(func_def_141, type, sK10: $o > $o > $o).
% 0.22/0.53 thf(func_def_142, type, sK11: $i > $i > $i).
% 0.22/0.53 thf(func_def_143, type, sK12: $i > $i > $i > $o).
% 0.22/0.53 thf(func_def_144, type, sK13: $i > $i > $i).
% 0.22/0.53 thf(func_def_145, type, sK14: $i > $i > $i).
% 0.22/0.53 thf(func_def_146, type, sK15: $i > $i > $i).
% 0.22/0.53 thf(func_def_147, type, sK16: $i > $i > $i).
% 0.22/0.53 thf(func_def_148, type, sK17: $i > ($i > $i) > $i > $i).
% 0.22/0.53 thf(func_def_149, type, sK18: $i > $i > ($i > $i) > $i > $o).
% 0.22/0.53 thf(func_def_150, type, sK19: ($i > $i > $i) > $i > $i > ($i > $o) > ($i > $i) > $o).
% 0.22/0.53 thf(func_def_156, type, ph25: !>[X0: $tType]:(X0)).
% 0.22/0.53 thf(f1064,plain,(
% 0.22/0.53 $false),
% 0.22/0.53 inference(avatar_sat_refutation,[],[f716,f732,f744,f774,f834,f858,f1060])).
% 0.22/0.53 thf(f1060,plain,(
% 0.22/0.53 ~spl9_5 | ~spl9_9),
% 0.22/0.53 inference(avatar_contradiction_clause,[],[f1059])).
% 0.22/0.53 thf(f1059,plain,(
% 0.22/0.53 $false | (~spl9_5 | ~spl9_9)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f1058])).
% 0.22/0.53 thf(f1058,plain,(
% 0.22/0.53 ($false = $true) | (~spl9_5 | ~spl9_9)),
% 0.22/0.53 inference(beta_eta_normalization,[],[f1056])).
% 0.22/0.53 thf(f1056,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X6 : $i,X5 : $i] : (($true = ((^[Y0 : $i]: ($false)) @ (X3 @ (X3 @ (X2 @ X5 @ X6)))))) ) | (~spl9_5 | ~spl9_9)),
% 0.22/0.53 inference(primitive_instantiation,[],[f862])).
% 0.22/0.53 thf(f862,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X6 : $i,X4 : $i > $o,X5 : $i] : (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) = $true)) ) | (~spl9_5 | ~spl9_9)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f861])).
% 0.22/0.53 thf(f861,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X6 : $i,X4 : $i > $o,X5 : $i] : (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) = $true) | ($false = $true)) ) | (~spl9_5 | ~spl9_9)),
% 0.22/0.53 inference(backward_demodulation,[],[f743,f728])).
% 0.22/0.53 thf(f728,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X6 : $i,X4 : $i > $o,X5 : $i] : (($false = (sK19 @ X2 @ X5 @ X6 @ X4 @ X3))) ) | ~spl9_5),
% 0.22/0.53 inference(avatar_component_clause,[],[f727])).
% 0.22/0.53 thf(f727,plain,(
% 0.22/0.53 spl9_5 <=> ! [X5,X4 : $i > $o,X2 : $i > $i > $i,X6,X3 : $i > $i] : ($false = (sK19 @ X2 @ X5 @ X6 @ X4 @ X3))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl9_5])])).
% 0.22/0.53 thf(f743,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X6 : $i,X4 : $i > $o,X5 : $i] : (($true = (sK19 @ X2 @ X5 @ X6 @ X4 @ X3)) | ((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) = $true)) ) | ~spl9_9),
% 0.22/0.53 inference(avatar_component_clause,[],[f742])).
% 0.22/0.53 thf(f742,plain,(
% 0.22/0.53 spl9_9 <=> ! [X5,X3 : $i > $i,X4 : $i > $o,X6,X2 : $i > $i > $i] : (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) = $true) | ($true = (sK19 @ X2 @ X5 @ X6 @ X4 @ X3)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl9_9])])).
% 0.22/0.53 thf(f858,plain,(
% 0.22/0.53 ~spl9_1),
% 0.22/0.53 inference(avatar_contradiction_clause,[],[f857])).
% 0.22/0.53 thf(f857,plain,(
% 0.22/0.53 $false | ~spl9_1),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f853])).
% 0.22/0.53 thf(f853,plain,(
% 0.22/0.53 ($false = $true) | ~spl9_1),
% 0.22/0.53 inference(superposition,[],[f695,f712])).
% 0.22/0.53 thf(f712,plain,(
% 0.22/0.53 ( ! [X2 : $o] : (($true = X2)) ) | ~spl9_1),
% 0.22/0.53 inference(avatar_component_clause,[],[f711])).
% 0.22/0.53 thf(f711,plain,(
% 0.22/0.53 spl9_1 <=> ! [X2 : $o] : ($true = X2)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl9_1])])).
% 0.22/0.53 thf(f695,plain,(
% 0.22/0.53 (sK23 = $false)),
% 0.22/0.53 inference(beta_eta_normalization,[],[f694])).
% 0.22/0.53 thf(f694,plain,(
% 0.22/0.53 ($false = ((^[Y0 : $o]: (Y0)) @ sK23))),
% 0.22/0.53 inference(sigma_clausification,[],[f655])).
% 0.22/0.53 thf(f655,plain,(
% 0.22/0.53 ((!! @ $o @ (^[Y0 : $o]: (Y0))) = $false)),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f654])).
% 0.22/0.53 thf(f654,plain,(
% 0.22/0.53 (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((!! @ $o @ (^[Y9 : $o]: (((!! @ $i @ (^[Y10 : $i]: ($true))) => (((Y4 @ (Y3 @ (Y3 @ (Y2 @ Y5 @ Y7)))) => (!! @ $o @ (^[Y10 : $o]: (Y10)))) => Y9)) => Y9))) => (Y8 = Y0)))))))))))))))))))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) != $true)),
% 0.22/0.53 inference(boolean_simplification,[],[f653])).
% 0.22/0.53 thf(f653,plain,(
% 0.22/0.53 (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((!! @ $o @ (^[Y9 : $o]: (((!! @ $i @ (^[Y10 : $i]: (((Y3 @ Y0) = Y10) => $true))) => (((Y4 @ (Y3 @ (Y3 @ (Y2 @ Y5 @ Y7)))) => (!! @ $o @ (^[Y10 : $o]: (Y10)))) => Y9)) => Y9))) => (Y8 = Y0)))))))))))))))))))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) != $true)),
% 0.22/0.53 inference(boolean_simplification,[],[f652])).
% 0.22/0.53 thf(f652,plain,(
% 0.22/0.53 (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((!! @ $o @ (^[Y9 : $o]: (((!! @ $i @ (^[Y10 : $i]: (((Y3 @ Y0) = Y10) => ((!! @ $o @ (^[Y11 : $o]: (((Y1 @ Y10) => (((Y7 = Y5) => (!! @ $o @ (^[Y12 : $o]: (((Y6 = Y0) => ((Y4 @ Y10) => Y12)) => Y12)))) => Y11)) => Y11))) => $true)))) => (((Y4 @ (Y3 @ (Y3 @ (Y2 @ Y5 @ Y7)))) => (!! @ $o @ (^[Y10 : $o]: (Y10)))) => Y9)) => Y9))) => (Y8 = Y0)))))))))))))))))))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) != $true)),
% 0.22/0.53 inference(boolean_simplification,[],[f651])).
% 0.22/0.53 thf(f651,plain,(
% 0.22/0.53 (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((!! @ $o @ (^[Y9 : $o]: (((!! @ $i @ (^[Y10 : $i]: (((Y3 @ Y0) = Y10) => ((!! @ $o @ (^[Y11 : $o]: (((Y1 @ Y10) => (((Y7 = Y5) => (!! @ $o @ (^[Y12 : $o]: (((Y6 = Y0) => ((Y4 @ Y10) => Y12)) => Y12)))) => Y11)) => Y11))) => (Y5 = Y5))))) => (((Y4 @ (Y3 @ (Y3 @ (Y2 @ Y5 @ Y7)))) => (!! @ $o @ (^[Y10 : $o]: (Y10)))) => Y9)) => Y9))) => (Y8 = Y0)))))))))))))))))))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) != $true)),
% 0.22/0.53 inference(beta_eta_normalization,[],[f528])).
% 0.22/0.53 thf(f528,plain,(
% 0.22/0.53 ($true != ((^[Y0 : $o]: (Y0 => (!! @ $o @ (^[Y1 : $o]: (Y1))))) @ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: (((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (!! @ $i @ (^[Y9 : $i]: (((Y3 @ Y0) = Y9) => (((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ (Y1 @ Y9) @ ((Y7 = Y5) => ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ (Y6 = Y0) @ (Y4 @ Y9)))) => (Y5 = Y5))))) @ ((^[Y9 : $o]: (Y9 => (!! @ $o @ (^[Y10 : $o]: (Y10))))) @ (Y4 @ (Y3 @ (Y3 @ (Y2 @ Y5 @ Y7)))))) => (Y8 = Y0))))))))))))))))))))))),
% 0.22/0.53 inference(definition_unfolding,[],[f433,f436,f379,f379,f379,f436])).
% 0.22/0.53 thf(f379,plain,(
% 0.22/0.53 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))),
% 0.22/0.53 inference(cnf_transformation,[],[f206])).
% 0.22/0.53 thf(f206,plain,(
% 0.22/0.53 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))),
% 0.22/0.53 inference(fool_elimination,[],[f205])).
% 0.22/0.53 thf(f205,plain,(
% 0.22/0.53 (c_and = (^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))))),
% 0.22/0.53 inference(rectify,[],[f14])).
% 0.22/0.53 thf(f14,axiom,(
% 0.22/0.53 (c_and = (^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))))),
% 0.22/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14)).
% 0.22/0.53 thf(f436,plain,(
% 0.22/0.53 (c_not = (^[Y0 : $o]: (Y0 => (!! @ $o @ (^[Y1 : $o]: (Y1))))))),
% 0.22/0.53 inference(definition_unfolding,[],[f377,f426])).
% 0.22/0.53 thf(f426,plain,(
% 0.22/0.53 (c_False = (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 0.22/0.53 inference(cnf_transformation,[],[f199])).
% 0.22/0.53 thf(f199,plain,(
% 0.22/0.53 (c_False = (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 0.22/0.53 inference(fool_elimination,[],[f198])).
% 0.22/0.53 thf(f198,plain,(
% 0.22/0.53 (c_False = ! [X0 : $o] : X0)),
% 0.22/0.53 inference(rectify,[],[f11])).
% 0.22/0.53 thf(f11,axiom,(
% 0.22/0.53 (c_False = ! [X0 : $o] : X0)),
% 0.22/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11)).
% 0.22/0.53 thf(f377,plain,(
% 0.22/0.53 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 0.22/0.53 inference(cnf_transformation,[],[f262])).
% 0.22/0.53 thf(f262,plain,(
% 0.22/0.53 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 0.22/0.53 inference(fool_elimination,[],[f261])).
% 0.22/0.53 thf(f261,plain,(
% 0.22/0.53 ((^[X0 : $o] : (X0 => c_False)) = c_not)),
% 0.22/0.53 inference(rectify,[],[f13])).
% 0.22/0.53 thf(f13,axiom,(
% 0.22/0.53 ((^[X0 : $o] : (X0 => c_False)) = c_not)),
% 0.22/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13)).
% 0.22/0.53 thf(f433,plain,(
% 0.22/0.53 ((c_not @ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_and @ (!! @ $i @ (^[Y9 : $i]: (((Y3 @ Y0) = Y9) => ((c_and @ (Y1 @ Y9) @ ((Y7 = Y5) => (c_and @ (Y6 = Y0) @ (Y4 @ Y9)))) => (Y5 = Y5))))) @ (c_not @ (Y4 @ (Y3 @ (Y3 @ (Y2 @ Y5 @ Y7)))))) => (Y8 = Y0))))))))))))))))))))) != $true)),
% 0.22/0.53 inference(cnf_transformation,[],[f288])).
% 0.22/0.53 thf(f288,plain,(
% 0.22/0.53 ((c_not @ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_and @ (!! @ $i @ (^[Y9 : $i]: (((Y3 @ Y0) = Y9) => ((c_and @ (Y1 @ Y9) @ ((Y7 = Y5) => (c_and @ (Y6 = Y0) @ (Y4 @ Y9)))) => (Y5 = Y5))))) @ (c_not @ (Y4 @ (Y3 @ (Y3 @ (Y2 @ Y5 @ Y7)))))) => (Y8 = Y0))))))))))))))))))))) != $true)),
% 0.22/0.53 inference(flattening,[],[f117])).
% 0.22/0.53 thf(f117,plain,(
% 0.22/0.53 ~((c_not @ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_and @ (!! @ $i @ (^[Y9 : $i]: (((Y3 @ Y0) = Y9) => ((c_and @ (Y1 @ Y9) @ ((Y7 = Y5) => (c_and @ (Y6 = Y0) @ (Y4 @ Y9)))) => (Y5 = Y5))))) @ (c_not @ (Y4 @ (Y3 @ (Y3 @ (Y2 @ Y5 @ Y7)))))) => (Y8 = Y0))))))))))))))))))))) = $true)),
% 0.22/0.53 inference(fool_elimination,[],[f116])).
% 0.22/0.53 thf(f116,plain,(
% 0.22/0.53 ~(c_not @ ! [X0,X1,X2,X3,X4 : $i > $o,X5 : $i > $i,X6 : $i > $i > $i,X7 : $i > $o,X8] : ((c_and @ ! [X10] : (((X5 @ X8) = X10) => ((c_and @ (X7 @ X10) @ (X1 = X3) => (c_and @ (X2 = X8) @ (X4 @ X10))) => (X3 = X3))) @ (c_not @ (X4 @ (X5 @ (X5 @ (X6 @ X3 @ X1)))))) => (X0 = X8)))),
% 0.22/0.53 inference(rectify,[],[f110])).
% 0.22/0.53 thf(f110,negated_conjecture,(
% 0.22/0.53 ~(c_not @ ! [X6,X5,X8,X7,X3 : $i > $o,X4 : $i > $i,X1 : $i > $i > $i,X2 : $i > $o,X9,X0 : $i > $i > $o] : ((c_and @ ! [X10] : (((X4 @ X9) = X10) => ((c_and @ (X2 @ X10) @ (X5 = X7) => (c_and @ ! [X11] : (X8 = X9) @ ? [X11] : (X3 @ X10))) => ? [X11] : (X7 = X7))) @ (c_not @ (X3 @ (X4 @ (X4 @ (X1 @ X7 @ X5)))))) => (X6 = X9)))),
% 0.22/0.53 inference(negated_conjecture,[],[f109])).
% 0.22/0.53 thf(f109,conjecture,(
% 0.22/0.53 (c_not @ ! [X6,X5,X8,X7,X3 : $i > $o,X4 : $i > $i,X1 : $i > $i > $i,X2 : $i > $o,X9,X0 : $i > $i > $o] : ((c_and @ ! [X10] : (((X4 @ X9) = X10) => ((c_and @ (X2 @ X10) @ (X5 = X7) => (c_and @ ! [X11] : (X8 = X9) @ ? [X11] : (X3 @ X10))) => ? [X11] : (X7 = X7))) @ (c_not @ (X3 @ (X4 @ (X4 @ (X1 @ X7 @ X5)))))) => (X6 = X9)))),
% 0.22/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.22/0.53 thf(f834,plain,(
% 0.22/0.53 ~spl9_2 | ~spl9_6 | ~spl9_16),
% 0.22/0.53 inference(avatar_contradiction_clause,[],[f833])).
% 0.22/0.53 thf(f833,plain,(
% 0.22/0.53 $false | (~spl9_2 | ~spl9_6 | ~spl9_16)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f832])).
% 0.22/0.53 thf(f832,plain,(
% 0.22/0.53 ($false = $true) | (~spl9_2 | ~spl9_6 | ~spl9_16)),
% 0.22/0.53 inference(forward_demodulation,[],[f822,f807])).
% 0.22/0.53 thf(f807,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (((c_In @ X1 @ X0) = $false)) ) | (~spl9_2 | ~spl9_6)),
% 0.22/0.53 inference(superposition,[],[f715,f731])).
% 0.22/0.53 thf(f731,plain,(
% 0.22/0.53 ( ! [X1 : $i,X7 : $i] : ((X1 = X7)) ) | ~spl9_6),
% 0.22/0.53 inference(avatar_component_clause,[],[f730])).
% 0.22/0.53 thf(f730,plain,(
% 0.22/0.53 spl9_6 <=> ! [X1,X7] : (X1 = X7)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl9_6])])).
% 0.22/0.53 thf(f715,plain,(
% 0.22/0.53 ( ! [X1 : $i] : (((c_In @ X1 @ c_Empty) = $false)) ) | ~spl9_2),
% 0.22/0.53 inference(avatar_component_clause,[],[f714])).
% 0.22/0.53 thf(f714,plain,(
% 0.22/0.53 spl9_2 <=> ! [X1] : ((c_In @ X1 @ c_Empty) = $false)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl9_2])])).
% 0.22/0.53 thf(f822,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (((c_In @ X1 @ (c_Power @ X0)) = $true)) ) | (~spl9_2 | ~spl9_6 | ~spl9_16)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f809])).
% 0.22/0.53 thf(f809,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (($false = $true) | ((c_In @ X1 @ (c_Power @ X0)) = $true)) ) | (~spl9_2 | ~spl9_6 | ~spl9_16)),
% 0.22/0.53 inference(backward_demodulation,[],[f773,f807])).
% 0.22/0.53 thf(f773,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (((c_In @ (sK13 @ X1 @ X0) @ X1) = $true) | ((c_In @ X1 @ (c_Power @ X0)) = $true)) ) | ~spl9_16),
% 0.22/0.53 inference(avatar_component_clause,[],[f772])).
% 0.22/0.53 thf(f772,plain,(
% 0.22/0.53 spl9_16 <=> ! [X0,X1] : (((c_In @ (sK13 @ X1 @ X0) @ X1) = $true) | ((c_In @ X1 @ (c_Power @ X0)) = $true))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl9_16])])).
% 0.22/0.53 thf(f774,plain,(
% 0.22/0.53 spl9_1 | spl9_16),
% 0.22/0.53 inference(avatar_split_clause,[],[f608,f772,f711])).
% 0.22/0.53 thf(f608,plain,(
% 0.22/0.53 ( ! [X2 : $o,X0 : $i,X1 : $i] : (((c_In @ (sK13 @ X1 @ X0) @ X1) = $true) | ($true = X2) | ((c_In @ X1 @ (c_Power @ X0)) = $true)) )),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f606])).
% 0.22/0.53 thf(f606,plain,(
% 0.22/0.53 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($false = ((c_In @ (sK13 @ X1 @ X0) @ X1) => (c_In @ (sK13 @ X1 @ X0) @ X0))) | ($true = X2) | ((c_In @ X1 @ (c_Power @ X0)) = $true)) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f605])).
% 0.22/0.53 thf(f605,plain,(
% 0.22/0.53 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = X2) | ((c_In @ X1 @ (c_Power @ X0)) = $true) | ($false = ((^[Y0 : $i]: ((c_In @ Y0 @ X1) => (c_In @ Y0 @ X0))) @ (sK13 @ X1 @ X0)))) )),
% 0.22/0.53 inference(sigma_clausification,[],[f604])).
% 0.22/0.53 thf(f604,plain,(
% 0.22/0.53 ( ! [X2 : $o,X0 : $i,X1 : $i] : (((c_In @ X1 @ (c_Power @ X0)) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X1) => (c_In @ Y0 @ X0))))) | ($true = X2)) )),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f603])).
% 0.22/0.53 thf(f603,plain,(
% 0.22/0.53 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = X2) | (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X1) => (c_In @ Y0 @ X0)))) => (c_In @ X1 @ (c_Power @ X0))) = $true)) )),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f596])).
% 0.22/0.53 thf(f596,plain,(
% 0.22/0.53 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = X2) | ($false = (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X1) => (c_In @ Y0 @ X0)))) => (c_In @ X1 @ (c_Power @ X0))) => X2))) )),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f595])).
% 0.22/0.53 thf(f595,plain,(
% 0.22/0.53 ( ! [X2 : $o,X0 : $i,X1 : $i] : (((((c_In @ X1 @ (c_Power @ X0)) => (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X1) => (c_In @ Y0 @ X0))))) => (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X1) => (c_In @ Y0 @ X0)))) => (c_In @ X1 @ (c_Power @ X0))) => X2)) = $false) | ($true = X2)) )),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f594])).
% 0.22/0.53 thf(f594,plain,(
% 0.22/0.53 ( ! [X2 : $o,X0 : $i,X1 : $i] : ((((((c_In @ X1 @ (c_Power @ X0)) => (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X1) => (c_In @ Y0 @ X0))))) => (((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ X1) => (c_In @ Y0 @ X0)))) => (c_In @ X1 @ (c_Power @ X0))) => X2)) => X2) = $true)) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f593])).
% 0.22/0.53 thf(f593,plain,(
% 0.22/0.53 ( ! [X2 : $o,X0 : $i,X1 : $i] : (($true = ((^[Y0 : $o]: ((((c_In @ X1 @ (c_Power @ X0)) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X1) => (c_In @ Y1 @ X0))))) => (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X1) => (c_In @ Y1 @ X0)))) => (c_In @ X1 @ (c_Power @ X0))) => Y0)) => Y0)) @ X2))) )),
% 0.22/0.53 inference(pi_clausification,[],[f592])).
% 0.22/0.53 thf(f592,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (($true = (!! @ $o @ (^[Y0 : $o]: ((((c_In @ X1 @ (c_Power @ X0)) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X1) => (c_In @ Y1 @ X0))))) => (((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ X1) => (c_In @ Y1 @ X0)))) => (c_In @ X1 @ (c_Power @ X0))) => Y0)) => Y0))))) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f525])).
% 0.22/0.53 thf(f525,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (($true = ((^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ (Y0 => Y1) @ (Y1 => Y0))))) @ (c_In @ X1 @ (c_Power @ X0)) @ ((^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))) @ X1 @ X0)))) )),
% 0.22/0.53 inference(definition_unfolding,[],[f406,f437,f328])).
% 0.22/0.53 thf(f328,plain,(
% 0.22/0.53 (c_Subq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))))),
% 0.22/0.53 inference(cnf_transformation,[],[f131])).
% 0.22/0.53 thf(f131,plain,(
% 0.22/0.53 (c_Subq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))))),
% 0.22/0.53 inference(fool_elimination,[],[f130])).
% 0.22/0.53 thf(f130,plain,(
% 0.22/0.53 (c_Subq = (^[X0 : $i, X1 : $i] : (! [X2] : ((c_In @ X2 @ X0) => (c_In @ X2 @ X1)))))),
% 0.22/0.53 inference(rectify,[],[f17])).
% 0.22/0.53 thf(f17,axiom,(
% 0.22/0.53 (c_Subq = (^[X0 : $i, X1 : $i] : (! [X2] : ((c_In @ X2 @ X0) => (c_In @ X2 @ X1)))))),
% 0.22/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17)).
% 0.22/0.53 thf(f437,plain,(
% 0.22/0.53 (c_iff = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ (Y0 => Y1) @ (Y1 => Y0))))))),
% 0.22/0.53 inference(definition_unfolding,[],[f362,f379])).
% 0.22/0.53 thf(f362,plain,(
% 0.22/0.53 (c_iff = (^[Y0 : $o]: ((^[Y1 : $o]: (c_and @ (Y0 => Y1) @ (Y1 => Y0))))))),
% 0.22/0.53 inference(cnf_transformation,[],[f256])).
% 0.22/0.53 thf(f256,plain,(
% 0.22/0.53 (c_iff = (^[Y0 : $o]: ((^[Y1 : $o]: (c_and @ (Y0 => Y1) @ (Y1 => Y0))))))),
% 0.22/0.53 inference(fool_elimination,[],[f255])).
% 0.22/0.53 thf(f255,plain,(
% 0.22/0.53 (c_iff = (^[X0 : $o, X1 : $o] : (c_and @ X0 => X1 @ X1 => X0)))),
% 0.22/0.53 inference(rectify,[],[f16])).
% 0.22/0.53 thf(f16,axiom,(
% 0.22/0.53 (c_iff = (^[X0 : $o, X1 : $o] : (c_and @ X0 => X1 @ X1 => X0)))),
% 0.22/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16)).
% 0.22/0.53 thf(f406,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (((c_iff @ (c_In @ X1 @ (c_Power @ X0)) @ (c_Subq @ X1 @ X0)) = $true)) )),
% 0.22/0.53 inference(cnf_transformation,[],[f162])).
% 0.22/0.53 thf(f162,plain,(
% 0.22/0.53 ! [X0,X1] : ((c_iff @ (c_In @ X1 @ (c_Power @ X0)) @ (c_Subq @ X1 @ X0)) = $true)),
% 0.22/0.53 inference(fool_elimination,[],[f161])).
% 0.22/0.53 thf(f161,plain,(
% 0.22/0.53 ! [X0,X1] : (c_iff @ (c_In @ X1 @ (c_Power @ X0)) @ (c_Subq @ X1 @ X0))),
% 0.22/0.53 inference(rectify,[],[f7])).
% 0.22/0.53 thf(f7,axiom,(
% 0.22/0.53 ! [X0,X1] : (c_iff @ (c_In @ X1 @ (c_Power @ X0)) @ (c_Subq @ X1 @ X0))),
% 0.22/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7)).
% 0.22/0.53 thf(f744,plain,(
% 0.22/0.53 spl9_9 | spl9_6),
% 0.22/0.53 inference(avatar_split_clause,[],[f687,f730,f742])).
% 0.22/0.53 thf(f687,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) = $true) | ($true = (sK19 @ X2 @ X5 @ X6 @ X4 @ X3)) | (X1 = X7)) )),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f686])).
% 0.22/0.53 thf(f686,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (($true = (sK19 @ X2 @ X5 @ X6 @ X4 @ X3)) | (X1 = X7) | ((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) = $true) | ($false = $true)) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f685])).
% 0.22/0.53 thf(f685,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : ((((^[Y0 : $i]: ($true)) @ sK20) = $false) | (X1 = X7) | ($true = (sK19 @ X2 @ X5 @ X6 @ X4 @ X3)) | ((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) = $true)) )),
% 0.22/0.53 inference(sigma_clausification,[],[f684])).
% 0.22/0.53 thf(f684,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : ((X1 = X7) | ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | ((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) = $true) | ($true = (sK19 @ X2 @ X5 @ X6 @ X4 @ X3))) )),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f682])).
% 0.22/0.53 thf(f682,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (($true = (sK19 @ X2 @ X5 @ X6 @ X4 @ X3)) | (X1 = X7) | ($false = ((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) => (!! @ $o @ (^[Y0 : $o]: (Y0))))) | ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false)) )),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f681])).
% 0.22/0.53 thf(f681,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (($true = (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) => (sK19 @ X2 @ X5 @ X6 @ X4 @ X3))) | ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | (X1 = X7)) )),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f680])).
% 0.22/0.53 thf(f680,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) => (sK19 @ X2 @ X5 @ X6 @ X4 @ X3))) = $true) | (X1 = X7)) )),
% 0.22/0.53 inference(equality_proxy_clausification,[],[f679])).
% 0.22/0.53 thf(f679,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X7 = X1) = $true) | (((!! @ $i @ (^[Y0 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) => (sK19 @ X2 @ X5 @ X6 @ X4 @ X3))) = $true)) )),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f677])).
% 0.22/0.53 thf(f677,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (($false = (((!! @ $i @ (^[Y0 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) => (sK19 @ X2 @ X5 @ X6 @ X4 @ X3))) => (sK19 @ X2 @ X5 @ X6 @ X4 @ X3))) | ((X7 = X1) = $true)) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f676])).
% 0.22/0.53 thf(f676,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X7 = X1) = $true) | ($false = ((^[Y0 : $o]: (((!! @ $i @ (^[Y1 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) => (!! @ $o @ (^[Y1 : $o]: (Y1)))) => Y0)) => Y0)) @ (sK19 @ X2 @ X5 @ X6 @ X4 @ X3)))) )),
% 0.22/0.53 inference(sigma_clausification,[],[f675])).
% 0.22/0.53 thf(f675,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (($false = (!! @ $o @ (^[Y0 : $o]: (((!! @ $i @ (^[Y1 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) => (!! @ $o @ (^[Y1 : $o]: (Y1)))) => Y0)) => Y0)))) | ((X7 = X1) = $true)) )),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f674])).
% 0.22/0.53 thf(f674,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : ((((!! @ $o @ (^[Y0 : $o]: (((!! @ $i @ (^[Y1 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) => (!! @ $o @ (^[Y1 : $o]: (Y1)))) => Y0)) => Y0))) => (X7 = X1)) = $true)) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f673])).
% 0.22/0.53 thf(f673,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : ((((^[Y0 : $i]: ((!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) => (!! @ $o @ (^[Y2 : $o]: (Y2)))) => Y1)) => Y1))) => (Y0 = X1))) @ X7) = $true)) )),
% 0.22/0.53 inference(pi_clausification,[],[f672])).
% 0.22/0.53 thf(f672,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((!! @ $o @ (^[Y1 : $o]: (((!! @ $i @ (^[Y2 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ X6)))) => (!! @ $o @ (^[Y2 : $o]: (Y2)))) => Y1)) => Y1))) => (Y0 = X1)))) = $true)) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f671])).
% 0.22/0.53 thf(f671,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ Y0)))) => (!! @ $o @ (^[Y3 : $o]: (Y3)))) => Y2)) => Y2))) => (Y1 = X1))))) @ X6) = $true)) )),
% 0.22/0.53 inference(pi_clausification,[],[f670])).
% 0.22/0.53 thf(f670,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X4 : $i > $o,X5 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ Y0)))) => (!! @ $o @ (^[Y3 : $o]: (Y3)))) => Y2)) => Y2))) => (Y1 = X1)))))))) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f669])).
% 0.22/0.53 thf(f669,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X4 : $i > $o,X5 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ Y1)))) => (!! @ $o @ (^[Y4 : $o]: (Y4)))) => Y3)) => Y3))) => (Y2 = X1))))))) @ X6) = $true)) )),
% 0.22/0.53 inference(pi_clausification,[],[f668])).
% 0.22/0.53 thf(f668,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X4 : $i > $o,X5 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ X5 @ Y1)))) => (!! @ $o @ (^[Y4 : $o]: (Y4)))) => Y3)) => Y3))) => (Y2 = X1)))))))) = $true)) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f667])).
% 0.22/0.53 thf(f667,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X4 : $i > $o,X5 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ Y0 @ Y2)))) => (!! @ $o @ (^[Y5 : $o]: (Y5)))) => Y4)) => Y4))) => (Y3 = X1))))))))) @ X5))) )),
% 0.22/0.53 inference(pi_clausification,[],[f666])).
% 0.22/0.53 thf(f666,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X4 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ($true))) => (((X4 @ (X3 @ (X3 @ (X2 @ Y0 @ Y2)))) => (!! @ $o @ (^[Y5 : $o]: (Y5)))) => Y4)) => Y4))) => (Y3 = X1)))))))))))) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f665])).
% 0.22/0.53 thf(f665,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X4 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ($true))) => (((Y0 @ (X3 @ (X3 @ (X2 @ Y1 @ Y3)))) => (!! @ $o @ (^[Y6 : $o]: (Y6)))) => Y5)) => Y5))) => (Y4 = X1))))))))))) @ X4))) )),
% 0.22/0.53 inference(pi_clausification,[],[f664])).
% 0.22/0.53 thf(f664,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ($true))) => (((Y0 @ (X3 @ (X3 @ (X2 @ Y1 @ Y3)))) => (!! @ $o @ (^[Y6 : $o]: (Y6)))) => Y5)) => Y5))) => (Y4 = X1)))))))))))))) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f663])).
% 0.22/0.53 thf(f663,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i] : ((((^[Y0 : $i > $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ($true))) => (((Y1 @ (Y0 @ (Y0 @ (X2 @ Y2 @ Y4)))) => (!! @ $o @ (^[Y7 : $o]: (Y7)))) => Y6)) => Y6))) => (Y5 = X1))))))))))))) @ X3) = $true)) )),
% 0.22/0.53 inference(pi_clausification,[],[f662])).
% 0.22/0.53 thf(f662,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X1 : $i] : (($true = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ($true))) => (((Y1 @ (Y0 @ (Y0 @ (X2 @ Y2 @ Y4)))) => (!! @ $o @ (^[Y7 : $o]: (Y7)))) => Y6)) => Y6))) => (Y5 = X1)))))))))))))))) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f661])).
% 0.22/0.53 thf(f661,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X1 : $i] : (($true = ((^[Y0 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ($true))) => (((Y2 @ (Y1 @ (Y1 @ (Y0 @ Y3 @ Y5)))) => (!! @ $o @ (^[Y8 : $o]: (Y8)))) => Y7)) => Y7))) => (Y6 = X1))))))))))))))) @ X2))) )),
% 0.22/0.53 inference(pi_clausification,[],[f660])).
% 0.22/0.53 thf(f660,plain,(
% 0.22/0.53 ( ! [X1 : $i] : (($true = (!! @ ($i > $i > $i) @ (^[Y0 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ($true))) => (((Y2 @ (Y1 @ (Y1 @ (Y0 @ Y3 @ Y5)))) => (!! @ $o @ (^[Y8 : $o]: (Y8)))) => Y7)) => Y7))) => (Y6 = X1)))))))))))))))))) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f659])).
% 0.22/0.53 thf(f659,plain,(
% 0.22/0.53 ( ! [X2 : $i > $o,X1 : $i] : ((((^[Y0 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y1 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ($true))) => (((Y3 @ (Y2 @ (Y2 @ (Y1 @ Y4 @ Y6)))) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => Y8)) => Y8))) => (Y7 = X1))))))))))))))))) @ X2) = $true)) )),
% 0.22/0.53 inference(pi_clausification,[],[f658])).
% 0.22/0.53 thf(f658,plain,(
% 0.22/0.53 ( ! [X1 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y1 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ($true))) => (((Y3 @ (Y2 @ (Y2 @ (Y1 @ Y4 @ Y6)))) => (!! @ $o @ (^[Y9 : $o]: (Y9)))) => Y8)) => Y8))) => (Y7 = X1)))))))))))))))))) = $true)) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f657])).
% 0.22/0.53 thf(f657,plain,(
% 0.22/0.53 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((!! @ $o @ (^[Y9 : $o]: (((!! @ $i @ (^[Y10 : $i]: ($true))) => (((Y4 @ (Y3 @ (Y3 @ (Y2 @ Y5 @ Y7)))) => (!! @ $o @ (^[Y10 : $o]: (Y10)))) => Y9)) => Y9))) => (Y8 = Y0))))))))))))))))))) @ X1) = $true)) )),
% 0.22/0.53 inference(pi_clausification,[],[f656])).
% 0.22/0.53 thf(f656,plain,(
% 0.22/0.53 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ ($i > $o) @ (^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((!! @ $o @ (^[Y9 : $o]: (((!! @ $i @ (^[Y10 : $i]: ($true))) => (((Y4 @ (Y3 @ (Y3 @ (Y2 @ Y5 @ Y7)))) => (!! @ $o @ (^[Y10 : $o]: (Y10)))) => Y9)) => Y9))) => (Y8 = Y0)))))))))))))))))))) = $true)),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f654])).
% 0.22/0.53 thf(f732,plain,(
% 0.22/0.53 spl9_5 | spl9_6),
% 0.22/0.53 inference(avatar_split_clause,[],[f693,f730,f727])).
% 0.22/0.53 thf(f693,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : ((X1 = X7) | ($false = (sK19 @ X2 @ X5 @ X6 @ X4 @ X3))) )),
% 0.22/0.53 inference(equality_proxy_clausification,[],[f678])).
% 0.22/0.53 thf(f678,plain,(
% 0.22/0.53 ( ! [X2 : $i > $i > $i,X3 : $i > $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i > $o,X5 : $i] : (((X7 = X1) = $true) | ($false = (sK19 @ X2 @ X5 @ X6 @ X4 @ X3))) )),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f677])).
% 0.22/0.53 thf(f716,plain,(
% 0.22/0.53 spl9_1 | spl9_2),
% 0.22/0.53 inference(avatar_split_clause,[],[f709,f714,f711])).
% 0.22/0.53 thf(f709,plain,(
% 0.22/0.53 ( ! [X2 : $o,X1 : $i] : (($true = X2) | ((c_In @ X1 @ c_Empty) = $false)) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f708])).
% 0.22/0.53 thf(f708,plain,(
% 0.22/0.53 ( ! [X2 : $o,X1 : $i] : (($true = ((^[Y0 : $o]: (Y0)) @ X2)) | ((c_In @ X1 @ c_Empty) = $false)) )),
% 0.22/0.53 inference(pi_clausification,[],[f707])).
% 0.22/0.53 thf(f707,plain,(
% 0.22/0.53 ( ! [X1 : $i] : (((c_In @ X1 @ c_Empty) = $false) | ((!! @ $o @ (^[Y0 : $o]: (Y0))) = $true)) )),
% 0.22/0.53 inference(beta_eta_normalization,[],[f706])).
% 0.22/0.53 thf(f706,plain,(
% 0.22/0.53 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: (c_In @ Y0 @ c_Empty)) @ X1)) | ((!! @ $o @ (^[Y0 : $o]: (Y0))) = $true)) )),
% 0.22/0.53 inference(pi_clausification,[],[f705])).
% 0.22/0.53 thf(f705,plain,(
% 0.22/0.53 ($false = (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))) | ((!! @ $o @ (^[Y0 : $o]: (Y0))) = $true)),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f704])).
% 0.22/0.53 thf(f704,plain,(
% 0.22/0.53 (((?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) = $true)),
% 0.22/0.53 inference(beta_eta_normalization,[],[f524])).
% 0.22/0.53 thf(f524,plain,(
% 0.22/0.53 (((^[Y0 : $o]: (Y0 => (!! @ $o @ (^[Y1 : $o]: (Y1))))) @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))) = $true)),
% 0.22/0.53 inference(definition_unfolding,[],[f398,f436])).
% 0.22/0.53 thf(f398,plain,(
% 0.22/0.53 ($true = (c_not @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))),
% 0.22/0.53 inference(cnf_transformation,[],[f165])).
% 0.22/0.53 thf(f165,plain,(
% 0.22/0.53 ($true = (c_not @ (?? @ $i @ (^[Y0 : $i]: (c_In @ Y0 @ c_Empty)))))),
% 0.22/0.53 inference(fool_elimination,[],[f164])).
% 0.22/0.53 thf(f164,plain,(
% 0.22/0.53 (c_not @ ? [X0] : (c_In @ X0 @ c_Empty))),
% 0.22/0.53 inference(rectify,[],[f5])).
% 0.22/0.53 thf(f5,axiom,(
% 0.22/0.53 (c_not @ ? [X0] : (c_In @ X0 @ c_Empty))),
% 0.22/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5)).
% 0.22/0.53 % SZS output end Proof for theBenchmark
% 0.22/0.53 % (1729)------------------------------
% 0.22/0.53 % (1729)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.53 % (1729)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (1729)Memory used [KB]: 6652
% 0.22/0.53 % (1729)Time elapsed: 0.040 s
% 0.22/0.53 % (1729)Instructions burned: 109 (million)
% 0.22/0.53 % (1729)------------------------------
% 0.22/0.53 % (1729)------------------------------
% 0.22/0.53 % (1641)Success in time 0.167 s
%------------------------------------------------------------------------------