TSTP Solution File: ITP047^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP047^2 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 : Sun May 5 06:49:41 EDT 2024
% Result : Theorem 1.20s 0.59s
% Output : Refutation 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP047^2 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n032.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 : Fri May 3 19:03:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH1_THM_EQU_NAR problem
% 0.13/0.34 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.372RJjqbd2/Vampire---4.8_1347
% 0.19/0.40 % (1463)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.19/0.40 % (1458)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 Vampire---4 for (2999ds/27Mi)
% 0.19/0.40 % (1463)Instruction limit reached!
% 0.19/0.40 % (1463)------------------------------
% 0.19/0.40 % (1463)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (1463)Termination reason: Unknown
% 0.19/0.40 % (1463)Termination phase: shuffling
% 0.19/0.40
% 0.19/0.40 % (1463)Memory used [KB]: 1535
% 0.19/0.40 % (1463)Time elapsed: 0.004 s
% 0.19/0.40 % (1463)Instructions burned: 5 (million)
% 0.19/0.40 % (1463)------------------------------
% 0.19/0.40 % (1463)------------------------------
% 0.19/0.40 % (1456)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.19/0.40 % (1459)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.19/0.40 % (1462)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.19/0.41 % (1457)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 Vampire---4 for (2999ds/4Mi)
% 0.19/0.41 % (1460)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.19/0.41 % (1459)Instruction limit reached!
% 0.19/0.41 % (1459)------------------------------
% 0.19/0.41 % (1459)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (1459)Termination reason: Unknown
% 0.19/0.41 % (1459)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (1459)Memory used [KB]: 1407
% 0.19/0.41 % (1459)Time elapsed: 0.003 s
% 0.19/0.41 % (1459)Instructions burned: 2 (million)
% 0.19/0.41 % (1459)------------------------------
% 0.19/0.41 % (1459)------------------------------
% 0.19/0.41 % (1461)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.19/0.41 % (1460)Instruction limit reached!
% 0.19/0.41 % (1460)------------------------------
% 0.19/0.41 % (1460)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (1460)Termination reason: Unknown
% 0.19/0.41 % (1460)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (1460)Memory used [KB]: 1535
% 0.19/0.41 % (1460)Time elapsed: 0.003 s
% 0.19/0.41 % (1460)Instructions burned: 2 (million)
% 0.19/0.41 % (1460)------------------------------
% 0.19/0.41 % (1460)------------------------------
% 0.19/0.41 % (1457)Instruction limit reached!
% 0.19/0.41 % (1457)------------------------------
% 0.19/0.41 % (1457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (1457)Termination reason: Unknown
% 0.19/0.41 % (1457)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (1457)Memory used [KB]: 1535
% 0.19/0.41 % (1457)Time elapsed: 0.004 s
% 0.19/0.41 % (1457)Instructions burned: 4 (million)
% 0.19/0.41 % (1457)------------------------------
% 0.19/0.41 % (1457)------------------------------
% 0.19/0.41 % (1464)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 Vampire---4 for (2999ds/37Mi)
% 0.19/0.41 % (1462)Instruction limit reached!
% 0.19/0.41 % (1462)------------------------------
% 0.19/0.41 % (1462)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (1462)Termination reason: Unknown
% 0.19/0.41 % (1462)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (1462)Memory used [KB]: 1663
% 0.19/0.41 % (1462)Time elapsed: 0.011 s
% 0.19/0.41 % (1462)Instructions burned: 18 (million)
% 0.19/0.41 % (1462)------------------------------
% 0.19/0.41 % (1462)------------------------------
% 0.19/0.42 % (1458)Instruction limit reached!
% 0.19/0.42 % (1458)------------------------------
% 0.19/0.42 % (1458)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (1458)Termination reason: Unknown
% 0.19/0.42 % (1458)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (1458)Memory used [KB]: 1918
% 0.19/0.42 % (1458)Time elapsed: 0.014 s
% 0.19/0.42 % (1458)Instructions burned: 27 (million)
% 0.19/0.42 % (1458)------------------------------
% 0.19/0.42 % (1458)------------------------------
% 0.19/0.42 % (1465)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 Vampire---4 for (2999ds/15Mi)
% 0.19/0.42 % (1467)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 Vampire---4 for (2999ds/1041Mi)
% 0.19/0.42 % (1466)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.19/0.42 % (1466)Instruction limit reached!
% 0.19/0.42 % (1466)------------------------------
% 0.19/0.42 % (1466)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (1466)Termination reason: Unknown
% 0.19/0.42 % (1466)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (1466)Memory used [KB]: 1535
% 0.19/0.42 % (1466)Time elapsed: 0.003 s
% 0.19/0.42 % (1466)Instructions burned: 3 (million)
% 0.19/0.42 % (1466)------------------------------
% 0.19/0.42 % (1466)------------------------------
% 0.19/0.43 % (1465)Instruction limit reached!
% 0.19/0.43 % (1465)------------------------------
% 0.19/0.43 % (1465)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (1465)Termination reason: Unknown
% 0.19/0.43 % (1465)Termination phase: shuffling
% 0.19/0.43
% 0.19/0.43 % (1465)Memory used [KB]: 1663
% 0.19/0.43 % (1465)Time elapsed: 0.009 s
% 0.19/0.43 % (1465)Instructions burned: 16 (million)
% 0.19/0.43 % (1465)------------------------------
% 0.19/0.43 % (1465)------------------------------
% 0.19/0.43 % (1468)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.19/0.43 % (1469)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.19/0.43 % (1464)Instruction limit reached!
% 0.19/0.43 % (1464)------------------------------
% 0.19/0.43 % (1464)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (1464)Termination reason: Unknown
% 0.19/0.43 % (1464)Termination phase: shuffling
% 0.19/0.43
% 0.19/0.43 % (1464)Memory used [KB]: 2174
% 0.19/0.43 % (1464)Time elapsed: 0.014 s
% 0.19/0.43 % (1464)Instructions burned: 39 (million)
% 0.19/0.43 % (1464)------------------------------
% 0.19/0.43 % (1464)------------------------------
% 0.19/0.43 % (1468)Instruction limit reached!
% 0.19/0.43 % (1468)------------------------------
% 0.19/0.43 % (1468)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (1468)Termination reason: Unknown
% 0.19/0.43 % (1468)Termination phase: shuffling
% 0.19/0.43
% 0.19/0.43 % (1468)Memory used [KB]: 1535
% 0.19/0.43 % (1468)Time elapsed: 0.005 s
% 0.19/0.43 % (1468)Instructions burned: 7 (million)
% 0.19/0.43 % (1468)------------------------------
% 0.19/0.43 % (1468)------------------------------
% 0.19/0.43 % (1469)Instruction limit reached!
% 0.19/0.43 % (1469)------------------------------
% 0.19/0.43 % (1469)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (1469)Termination reason: Unknown
% 0.19/0.43 % (1469)Termination phase: shuffling
% 0.19/0.43
% 0.19/0.43 % (1469)Memory used [KB]: 1663
% 0.19/0.43 % (1469)Time elapsed: 0.008 s
% 0.19/0.43 % (1469)Instructions burned: 16 (million)
% 0.19/0.43 % (1469)------------------------------
% 0.19/0.43 % (1469)------------------------------
% 0.19/0.43 % (1470)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 Vampire---4 for (2999ds/3Mi)
% 0.19/0.44 % (1472)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.19/0.44 % (1470)Instruction limit reached!
% 0.19/0.44 % (1470)------------------------------
% 0.19/0.44 % (1470)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (1470)Termination reason: Unknown
% 0.19/0.44 % (1470)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (1470)Memory used [KB]: 1535
% 0.19/0.44 % (1470)Time elapsed: 0.003 s
% 0.19/0.44 % (1470)Instructions burned: 4 (million)
% 0.19/0.44 % (1470)------------------------------
% 0.19/0.44 % (1470)------------------------------
% 0.19/0.44 % (1471)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 Vampire---4 for (2999ds/3Mi)
% 0.19/0.44 % (1471)Instruction limit reached!
% 0.19/0.44 % (1471)------------------------------
% 0.19/0.44 % (1471)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (1471)Termination reason: Unknown
% 0.19/0.44 % (1471)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (1471)Memory used [KB]: 1535
% 0.19/0.44 % (1471)Time elapsed: 0.003 s
% 0.19/0.44 % (1471)Instructions burned: 4 (million)
% 0.19/0.44 % (1471)------------------------------
% 0.19/0.44 % (1471)------------------------------
% 0.19/0.44 % (1472)Instruction limit reached!
% 0.19/0.44 % (1472)------------------------------
% 0.19/0.44 % (1472)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (1472)Termination reason: Unknown
% 0.19/0.44 % (1472)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (1472)Memory used [KB]: 1535
% 0.19/0.44 % (1472)Time elapsed: 0.004 s
% 0.19/0.44 % (1472)Instructions burned: 9 (million)
% 0.19/0.44 % (1472)------------------------------
% 0.19/0.44 % (1472)------------------------------
% 0.19/0.44 % (1473)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.19/0.44 % (1473)Instruction limit reached!
% 0.19/0.44 % (1473)------------------------------
% 0.19/0.44 % (1473)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (1473)Termination reason: Unknown
% 0.19/0.44 % (1473)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (1473)Memory used [KB]: 1535
% 0.19/0.44 % (1473)Time elapsed: 0.003 s
% 0.19/0.44 % (1473)Instructions burned: 5 (million)
% 0.19/0.44 % (1473)------------------------------
% 0.19/0.44 % (1473)------------------------------
% 0.19/0.44 % (1474)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.19/0.44 % (1474)Instruction limit reached!
% 0.19/0.44 % (1474)------------------------------
% 0.19/0.44 % (1474)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (1474)Termination reason: Unknown
% 0.19/0.44 % (1474)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (1474)Memory used [KB]: 1535
% 0.19/0.44 % (1474)Time elapsed: 0.003 s
% 0.19/0.44 % (1474)Instructions burned: 4 (million)
% 0.19/0.44 % (1474)------------------------------
% 0.19/0.44 % (1474)------------------------------
% 0.19/0.45 % (1477)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.19/0.45 % (1475)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.19/0.45 % (1476)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.19/0.45 % (1477)Instruction limit reached!
% 0.19/0.45 % (1477)------------------------------
% 0.19/0.45 % (1477)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (1477)Termination reason: Unknown
% 0.19/0.45 % (1477)Termination phase: shuffling
% 0.19/0.45
% 0.19/0.45 % (1477)Memory used [KB]: 1535
% 0.19/0.45 % (1477)Time elapsed: 0.004 s
% 0.19/0.45 % (1477)Instructions burned: 8 (million)
% 0.19/0.45 % (1477)------------------------------
% 0.19/0.45 % (1477)------------------------------
% 0.19/0.45 % (1478)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 Vampire---4 for (2999ds/902Mi)
% 0.19/0.45 % (1479)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 Vampire---4 for (2998ds/21Mi)
% 0.19/0.45 % (1475)Instruction limit reached!
% 0.19/0.45 % (1475)------------------------------
% 0.19/0.45 % (1475)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (1475)Termination reason: Unknown
% 0.19/0.45 % (1475)Termination phase: shuffling
% 0.19/0.45
% 0.19/0.45 % (1475)Memory used [KB]: 1791
% 0.19/0.45 % (1475)Time elapsed: 0.009 s
% 0.19/0.45 % (1475)Instructions burned: 19 (million)
% 0.19/0.45 % (1475)------------------------------
% 0.19/0.45 % (1475)------------------------------
% 0.19/0.46 % (1480)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2998ds/5Mi)
% 0.19/0.46 % (1480)Instruction limit reached!
% 0.19/0.46 % (1480)------------------------------
% 0.19/0.46 % (1480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.46 % (1480)Termination reason: Unknown
% 0.19/0.46 % (1480)Termination phase: shuffling
% 0.19/0.46
% 0.19/0.46 % (1480)Memory used [KB]: 1535
% 0.19/0.46 % (1480)Time elapsed: 0.003 s
% 0.19/0.46 % (1480)Instructions burned: 5 (million)
% 0.19/0.46 % (1480)------------------------------
% 0.19/0.46 % (1480)------------------------------
% 0.19/0.46 % (1479)Instruction limit reached!
% 0.19/0.46 % (1479)------------------------------
% 0.19/0.46 % (1479)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.46 % (1479)Termination reason: Unknown
% 0.19/0.46 % (1479)Termination phase: shuffling
% 0.19/0.46
% 0.19/0.46 % (1479)Memory used [KB]: 1791
% 0.19/0.46 % (1479)Time elapsed: 0.010 s
% 0.19/0.46 % (1479)Instructions burned: 22 (million)
% 0.19/0.46 % (1479)------------------------------
% 0.19/0.46 % (1479)------------------------------
% 0.19/0.46 % (1481)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 Vampire---4 for (2998ds/6Mi)
% 0.19/0.47 % (1482)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2998ds/377Mi)
% 0.19/0.47 % (1481)Instruction limit reached!
% 0.19/0.47 % (1481)------------------------------
% 0.19/0.47 % (1481)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.47 % (1481)Termination reason: Unknown
% 0.19/0.47 % (1481)Termination phase: shuffling
% 0.19/0.47
% 0.19/0.47 % (1481)Memory used [KB]: 1663
% 0.19/0.47 % (1481)Time elapsed: 0.004 s
% 0.19/0.47 % (1481)Instructions burned: 8 (million)
% 0.19/0.47 % (1481)------------------------------
% 0.19/0.47 % (1481)------------------------------
% 0.19/0.47 % (1483)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 Vampire---4 for (2998ds/779Mi)
% 0.19/0.48 % (1484)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 Vampire---4 for (2998ds/19Mi)
% 0.19/0.48 % (1456)Instruction limit reached!
% 0.19/0.48 % (1456)------------------------------
% 0.19/0.48 % (1456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48 % (1456)Termination reason: Unknown
% 0.19/0.48 % (1456)Termination phase: Preprocessing 1
% 0.19/0.48
% 0.19/0.48 % (1456)Memory used [KB]: 3326
% 0.19/0.48 % (1456)Time elapsed: 0.076 s
% 0.19/0.48 % (1456)Instructions burned: 183 (million)
% 0.19/0.48 % (1456)------------------------------
% 0.19/0.48 % (1456)------------------------------
% 0.19/0.48 % (1484)Instruction limit reached!
% 0.19/0.48 % (1484)------------------------------
% 0.19/0.48 % (1484)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48 % (1484)Termination reason: Unknown
% 0.19/0.48 % (1484)Termination phase: shuffling
% 0.19/0.48
% 0.19/0.48 % (1484)Memory used [KB]: 1791
% 0.19/0.48 % (1484)Time elapsed: 0.009 s
% 0.19/0.48 % (1484)Instructions burned: 21 (million)
% 0.19/0.48 % (1484)------------------------------
% 0.19/0.48 % (1484)------------------------------
% 0.19/0.49 % (1485)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2998ds/879Mi)
% 0.19/0.49 % (1486)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.19/0.50 % (1486)Instruction limit reached!
% 0.19/0.50 % (1486)------------------------------
% 0.19/0.50 % (1486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.50 % (1486)Termination reason: Unknown
% 0.19/0.50 % (1486)Termination phase: shuffling
% 0.19/0.50
% 0.19/0.50 % (1486)Memory used [KB]: 1663
% 0.19/0.50 % (1486)Time elapsed: 0.008 s
% 0.19/0.50 % (1486)Instructions burned: 18 (million)
% 0.19/0.50 % (1486)------------------------------
% 0.19/0.50 % (1486)------------------------------
% 0.19/0.51 % (1487)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 1.07/0.51 % (1487)Instruction limit reached!
% 1.07/0.51 % (1487)------------------------------
% 1.07/0.51 % (1487)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.07/0.51 % (1487)Termination reason: Unknown
% 1.07/0.51 % (1487)Termination phase: shuffling
% 1.07/0.51
% 1.07/0.51 % (1487)Memory used [KB]: 1535
% 1.07/0.51 % (1487)Time elapsed: 0.003 s
% 1.07/0.51 % (1487)Instructions burned: 4 (million)
% 1.07/0.51 % (1487)------------------------------
% 1.07/0.51 % (1487)------------------------------
% 1.07/0.51 % (1461)Instruction limit reached!
% 1.07/0.51 % (1461)------------------------------
% 1.07/0.51 % (1461)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.07/0.51 % (1461)Termination reason: Unknown
% 1.07/0.51 % (1461)Termination phase: Property scanning
% 1.07/0.51
% 1.07/0.51 % (1461)Memory used [KB]: 3837
% 1.07/0.51 % (1461)Time elapsed: 0.105 s
% 1.07/0.51 % (1461)Instructions burned: 277 (million)
% 1.07/0.51 % (1461)------------------------------
% 1.07/0.51 % (1461)------------------------------
% 1.07/0.52 % (1488)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 1.07/0.52 % (1489)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 1.20/0.53 % (1488)Instruction limit reached!
% 1.20/0.53 % (1488)------------------------------
% 1.20/0.53 % (1488)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.20/0.53 % (1488)Termination reason: Unknown
% 1.20/0.53 % (1488)Termination phase: shuffling
% 1.20/0.53
% 1.20/0.53 % (1488)Memory used [KB]: 1791
% 1.20/0.53 % (1488)Time elapsed: 0.011 s
% 1.20/0.53 % (1488)Instructions burned: 31 (million)
% 1.20/0.53 % (1488)------------------------------
% 1.20/0.53 % (1488)------------------------------
% 1.20/0.53 % (1490)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 1.20/0.56 % (1489)Instruction limit reached!
% 1.20/0.56 % (1489)------------------------------
% 1.20/0.56 % (1489)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.20/0.56 % (1489)Termination reason: Unknown
% 1.20/0.56 % (1489)Termination phase: shuffling
% 1.20/0.56
% 1.20/0.56 % (1489)Memory used [KB]: 2942
% 1.20/0.56 % (1489)Time elapsed: 0.041 s
% 1.20/0.56 % (1489)Instructions burned: 127 (million)
% 1.20/0.56 % (1489)------------------------------
% 1.20/0.56 % (1489)------------------------------
% 1.20/0.56 % (1490)Instruction limit reached!
% 1.20/0.56 % (1490)------------------------------
% 1.20/0.56 % (1490)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.20/0.56 % (1490)Termination reason: Unknown
% 1.20/0.56 % (1490)Termination phase: Property scanning
% 1.20/0.56
% 1.20/0.56 % (1490)Memory used [KB]: 2814
% 1.20/0.56 % (1490)Time elapsed: 0.030 s
% 1.20/0.56 % (1490)Instructions burned: 101 (million)
% 1.20/0.56 % (1490)------------------------------
% 1.20/0.56 % (1490)------------------------------
% 1.20/0.56 % (1491)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2997ds/3Mi)
% 1.20/0.57 % (1491)Instruction limit reached!
% 1.20/0.57 % (1491)------------------------------
% 1.20/0.57 % (1491)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.20/0.57 % (1491)Termination reason: Unknown
% 1.20/0.57 % (1491)Termination phase: shuffling
% 1.20/0.57
% 1.20/0.57 % (1491)Memory used [KB]: 1535
% 1.20/0.57 % (1491)Time elapsed: 0.003 s
% 1.20/0.57 % (1491)Instructions burned: 5 (million)
% 1.20/0.57 % (1491)------------------------------
% 1.20/0.57 % (1491)------------------------------
% 1.20/0.57 % (1482)Instruction limit reached!
% 1.20/0.57 % (1482)------------------------------
% 1.20/0.57 % (1482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.20/0.57 % (1482)Termination reason: Unknown
% 1.20/0.57 % (1482)Termination phase: Property scanning
% 1.20/0.57
% 1.20/0.57 % (1482)Memory used [KB]: 3965
% 1.20/0.57 % (1482)Time elapsed: 0.105 s
% 1.20/0.57 % (1482)Instructions burned: 378 (million)
% 1.20/0.57 % (1482)------------------------------
% 1.20/0.57 % (1482)------------------------------
% 1.20/0.57 % (1492)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2997ds/20Mi)
% 1.20/0.57 % (1493)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2997ds/86Mi)
% 1.20/0.58 % (1492)Instruction limit reached!
% 1.20/0.58 % (1492)------------------------------
% 1.20/0.58 % (1492)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.20/0.58 % (1492)Termination reason: Unknown
% 1.20/0.58 % (1492)Termination phase: shuffling
% 1.20/0.58
% 1.20/0.58 % (1492)Memory used [KB]: 1663
% 1.20/0.58 % (1492)Time elapsed: 0.008 s
% 1.20/0.58 % (1492)Instructions burned: 22 (million)
% 1.20/0.58 % (1492)------------------------------
% 1.20/0.58 % (1492)------------------------------
% 1.20/0.58 % (1494)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2997ds/107Mi)
% 1.20/0.58 % (1495)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 1.20/0.59 % (1476)First to succeed.
% 1.20/0.59 % (1478)Also succeeded, but the first one will report.
% 1.20/0.59 % (1476)Refutation found. Thanks to Tanya!
% 1.20/0.59 % SZS status Theorem for Vampire---4
% 1.20/0.59 % SZS output start Proof for Vampire---4
% 1.20/0.59 thf(type_def_5, type, val: ($tType * $tType * $tType) > $tType).
% 1.20/0.59 thf(type_def_6, type, option: ($tType) > $tType).
% 1.20/0.59 thf(type_def_8, type, expr: ($tType * $tType * $tType) > $tType).
% 1.20/0.59 thf(type_def_9, type, product_prod: ($tType * $tType) > $tType).
% 1.20/0.59 thf(type_def_10, type, const: $tType).
% 1.20/0.59 thf(type_def_11, type, cntxt: ($tType * $tType * $tType) > $tType).
% 1.20/0.59 thf(type_def_12, type, set: ($tType) > $tType).
% 1.20/0.59 thf(type_def_13, type, r: $tType).
% 1.20/0.59 thf(type_def_14, type, l: $tType).
% 1.20/0.59 thf(type_def_15, type, v: $tType).
% 1.20/0.59 thf(type_def_16, type, sum_sum: ($tType * $tType) > $tType).
% 1.20/0.59 thf(func_def_0, type, product_prod: ($tType * $tType) > $tType).
% 1.20/0.59 thf(func_def_1, type, sum_sum: ($tType * $tType) > $tType).
% 1.20/0.59 thf(func_def_2, type, option: ($tType) > $tType).
% 1.20/0.59 thf(func_def_3, type, const: $tType).
% 1.20/0.59 thf(func_def_4, type, cntxt: ($tType * $tType * $tType) > $tType).
% 1.20/0.59 thf(func_def_5, type, expr: ($tType * $tType * $tType) > $tType).
% 1.20/0.59 thf(func_def_6, type, val: ($tType * $tType * $tType) > $tType).
% 1.20/0.59 thf(func_def_7, type, set: ($tType) > $tType).
% 1.20/0.59 thf(func_def_8, type, v: $tType).
% 1.20/0.59 thf(func_def_9, type, r: $tType).
% 1.20/0.59 thf(func_def_10, type, l: $tType).
% 1.20/0.59 thf(func_def_11, type, type: !>[X0: $tType]:($o)).
% 1.20/0.59 thf(func_def_12, type, order: !>[X0: $tType]:($o)).
% 1.20/0.59 thf(func_def_13, type, finite_finite: !>[X0: $tType]:($o)).
% 1.20/0.59 thf(func_def_14, type, semiring_char_0: !>[X0: $tType]:($o)).
% 1.20/0.59 thf(func_def_15, type, lID_expression: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > expr @ X1 @ X0 @ X2)).
% 1.20/0.59 thf(func_def_16, type, lID_local_store: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > X0 > option @ val @ X1 @ X0 @ X2)).
% 1.20/0.59 thf(func_def_17, type, lID_snapshot: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > X0 > option @ val @ X1 @ X0 @ X2)).
% 1.20/0.59 thf(func_def_18, type, combine: !>[X0: $tType, X1: $tType]:((X0 > option @ X1) > (X0 > option @ X1) > X0 > option @ X1)).
% 1.20/0.59 thf(func_def_19, type, unit: const).
% 1.20/0.59 thf(func_def_20, type, ref: !>[X0: $tType, X1: $tType, X2: $tType]:(expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2)).
% 1.20/0.59 thf(func_def_21, type, rfork: !>[X0: $tType, X1: $tType, X2: $tType]:(expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2)).
% 1.20/0.59 thf(func_def_22, type, rjoin: !>[X0: $tType, X1: $tType, X2: $tType]:(expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2)).
% 1.20/0.59 thf(func_def_23, type, ve: !>[X0: $tType, X1: $tType, X2: $tType]:(val @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2)).
% 1.20/0.59 thf(func_def_24, type, plug: !>[X0: $tType, X1: $tType, X2: $tType]:(cntxt @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2)).
% 1.20/0.59 thf(func_def_25, type, cv: !>[X0: $tType, X1: $tType, X2: $tType]:(const > val @ X0 @ X1 @ X2)).
% 1.20/0.59 thf(func_def_26, type, loc: !>[X0: $tType, X1: $tType, X2: $tType]:(X0 > val @ X1 @ X0 @ X2)).
% 1.20/0.59 thf(func_def_27, type, rid: !>[X0: $tType, X1: $tType, X2: $tType]:(X0 > val @ X0 @ X1 @ X2)).
% 1.20/0.59 thf(func_def_28, type, execution: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > expr @ X0 @ X1 @ X2 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o)).
% 1.20/0.59 thf(func_def_29, type, inductive_invariant: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > ((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o) > $o)).
% 1.20/0.59 thf(func_def_30, type, reachable: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o)).
% 1.20/0.59 thf(func_def_31, type, finite_finite2: !>[X0: $tType]:(set @ X0 > $o)).
% 1.20/0.59 thf(func_def_32, type, bij_betw: !>[X0: $tType, X1: $tType]:((X0 > X1) > set @ X0 > set @ X1 > $o)).
% 1.20/0.59 thf(func_def_33, type, fun_upd: !>[X0: $tType, X1: $tType]:((X0 > X1) > X0 > X1 > X0 > X1)).
% 1.20/0.59 thf(func_def_34, type, if: !>[X0: $tType]:($o > X0 > X0 > X0)).
% 1.20/0.59 thf(func_def_35, type, map_comp: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > option @ X1) > (X2 > option @ X0) > X2 > option @ X1)).
% 1.20/0.59 thf(func_def_36, type, lID_G: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > set @ X1)).
% 1.20/0.59 thf(func_def_37, type, lID_L: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > set @ X0)).
% 1.20/0.59 thf(func_def_38, type, rID_G: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > set @ X0)).
% 1.20/0.59 thf(func_def_39, type, rID_L: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > set @ X1)).
% 1.20/0.59 thf(func_def_40, type, domains_subsume: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ product_prod @ (X0 > option @ val @ X1 @ X0 @ X2) @ expr @ X1 @ X0 @ X2 > $o)).
% 1.20/0.59 thf(func_def_41, type, domain398919503obally: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o)).
% 1.20/0.59 thf(func_def_42, type, revision_step: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o)).
% 1.20/0.59 thf(func_def_43, type, revisi1433015572elaxed: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o)).
% 1.20/0.59 thf(func_def_44, type, subsumes_accessible: !>[X0: $tType, X1: $tType, X2: $tType]:(X0 > X0 > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o)).
% 1.20/0.59 thf(func_def_45, type, subsum380726323obally: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o)).
% 1.20/0.59 thf(func_def_46, type, none: !>[X0: $tType]:(option @ X0)).
% 1.20/0.59 thf(func_def_47, type, some: !>[X0: $tType]:(X0 > option @ X0)).
% 1.20/0.59 thf(func_def_48, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 1.20/0.59 thf(func_def_49, type, top_top: !>[X0: $tType]:(X0)).
% 1.20/0.59 thf(func_def_50, type, product_Pair: !>[X0: $tType, X1: $tType]:(X0 > X1 > product_prod @ X0 @ X1)).
% 1.20/0.59 thf(func_def_51, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 1.20/0.59 thf(func_def_52, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 1.20/0.59 thf(func_def_53, type, r_G: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0) > (X1 > X1) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2)).
% 1.20/0.59 thf(func_def_54, type, r_L: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0) > (X1 > X1) > product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2 > product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2)).
% 1.20/0.59 thf(func_def_55, type, eq_states: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o)).
% 1.20/0.59 thf(func_def_56, type, is_global_renaming: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X0) > (X1 > X1) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > (X0 > option @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ product_prod @ (X1 > option @ val @ X0 @ X1 @ X2) @ expr @ X0 @ X1 @ X2) > $o)).
% 1.20/0.59 thf(func_def_57, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 1.20/0.59 thf(func_def_58, type, substitution: !>[X0: $tType, X1: $tType, X2: $tType]:((expr @ X0 @ X1 @ X2 > X2 > expr @ X0 @ X1 @ X2 > expr @ X0 @ X1 @ X2) > $o)).
% 1.20/0.59 thf(func_def_59, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 1.20/0.59 thf(func_def_60, type, e: cntxt @ r @ l @ v).
% 1.20/0.59 thf(func_def_61, type, alpha: r > r).
% 1.20/0.59 thf(func_def_62, type, beta: l > l).
% 1.20/0.59 thf(func_def_63, type, sigma: l > option @ val @ r @ l @ v).
% 1.20/0.59 thf(func_def_64, type, tau: l > option @ val @ r @ l @ v).
% 1.20/0.59 thf(func_def_65, type, e2: expr @ r @ l @ v).
% 1.20/0.59 thf(func_def_66, type, r2: r).
% 1.20/0.59 thf(func_def_67, type, r3: r).
% 1.20/0.59 thf(func_def_68, type, s: r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v).
% 1.20/0.59 thf(func_def_69, type, s2: r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v).
% 1.20/0.59 thf(func_def_70, type, subst: expr @ r @ l @ v > v > expr @ r @ l @ v > expr @ r @ l @ v).
% 1.20/0.59 thf(func_def_87, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X0)).
% 1.20/0.59 thf(func_def_88, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X1)).
% 1.20/0.59 thf(func_def_89, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X2)).
% 1.20/0.59 thf(func_def_90, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X3)).
% 1.20/0.59 thf(func_def_91, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X4)).
% 1.20/0.59 thf(func_def_92, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ X5 > X5)).
% 1.20/0.59 thf(func_def_93, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_94, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_95, type, sK8: r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v).
% 1.20/0.59 thf(func_def_96, type, sK9: r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v).
% 1.20/0.59 thf(func_def_97, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType]:(X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_98, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType]:(X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > (X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > (expr @ X2 @ X1 @ X0 > X0 > expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0) > X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_99, type, sK12: (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v).
% 1.20/0.59 thf(func_def_100, type, sK13: (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > l > option @ val @ r @ l @ v).
% 1.20/0.59 thf(func_def_101, type, sK14: (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > cntxt @ r @ l @ v).
% 1.20/0.59 thf(func_def_102, type, sK15: (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > expr @ r @ l @ v).
% 1.20/0.59 thf(func_def_103, type, sK16: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 1.20/0.59 thf(func_def_104, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X2 > option @ val @ X1 @ X2 @ X0)).
% 1.20/0.59 thf(func_def_105, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X2 > option @ val @ X1 @ X2 @ X0)).
% 1.20/0.59 thf(func_def_106, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > expr @ X1 @ X2 @ X0)).
% 1.20/0.59 thf(func_def_107, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0)).
% 1.20/0.59 thf(func_def_108, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1)).
% 1.20/0.59 thf(func_def_109, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2)).
% 1.20/0.59 thf(func_def_110, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3)).
% 1.20/0.59 thf(func_def_111, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4)).
% 1.20/0.59 thf(func_def_112, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > expr @ X2 @ X0 @ X1 > cntxt @ X2 @ X0 @ X1 > (X0 > option @ val @ X2 @ X0 @ X1) > (X0 > option @ val @ X2 @ X0 @ X1) > X2 > (X2 > option @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ product_prod @ (X0 > option @ val @ X2 @ X0 @ X1) @ expr @ X2 @ X0 @ X1) > X2)).
% 1.20/0.59 thf(func_def_113, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > option @ val @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_114, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > option @ val @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_115, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_116, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X1) > (X2 > X2) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X1 > X1)).
% 1.20/0.59 thf(func_def_117, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X1) > (X2 > X2) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X2 > X2)).
% 1.20/0.59 thf(func_def_118, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X1) > (X2 > X2) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X2 > option @ val @ X1 @ X2 @ X0)).
% 1.20/0.59 thf(func_def_119, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X1) > (X2 > X2) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > X2 > option @ val @ X1 @ X2 @ X0)).
% 1.20/0.59 thf(func_def_120, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X1) > (X2 > X2) > product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ product_prod @ (X2 > option @ val @ X1 @ X2 @ X0) @ expr @ X1 @ X2 @ X0 > $o) > expr @ X1 @ X2 @ X0)).
% 1.20/0.59 thf(func_def_121, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > X1 > option @ val @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_122, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > X1 > option @ val @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_123, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > cntxt @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_124, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > option @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0) > X2 > expr @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_125, type, sK38: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 1.20/0.59 thf(func_def_126, type, sK39: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 1.20/0.59 thf(func_def_127, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5)).
% 1.20/0.59 thf(func_def_128, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 1.20/0.59 thf(func_def_129, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 1.20/0.59 thf(func_def_130, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 1.20/0.59 thf(func_def_131, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 1.20/0.59 thf(func_def_132, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 1.20/0.59 thf(func_def_133, type, sK46: !>[X0: $tType, X1: $tType]:(product_prod @ (X1 > option @ X0) @ product_prod @ (X1 > option @ X0) @ X1 > X1 > option @ X0)).
% 1.20/0.59 thf(func_def_134, type, sK47: !>[X0: $tType, X1: $tType]:(product_prod @ (X1 > option @ X0) @ product_prod @ (X1 > option @ X0) @ X1 > X1 > option @ X0)).
% 1.20/0.59 thf(func_def_135, type, sK48: !>[X0: $tType, X1: $tType]:(product_prod @ (X1 > option @ X0) @ product_prod @ (X1 > option @ X0) @ X1 > X1)).
% 1.20/0.59 thf(func_def_136, type, sK49: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 1.20/0.59 thf(func_def_137, type, sK50: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 1.20/0.59 thf(func_def_138, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X0)).
% 1.20/0.59 thf(func_def_139, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X1)).
% 1.20/0.59 thf(func_def_140, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X2)).
% 1.20/0.59 thf(func_def_141, type, sK54: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 1.20/0.59 thf(func_def_142, type, sK55: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 1.20/0.59 thf(func_def_143, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X2 > X2) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X2 > X2)).
% 1.20/0.59 thf(func_def_144, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X2 > X2) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > X1)).
% 1.20/0.59 thf(func_def_145, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X2 > X2) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > option @ val @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_146, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X2 > X2) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > X1 > option @ val @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_147, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X2 > X2) @ product_prod @ (X1 > X1) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ product_prod @ (X1 > option @ val @ X2 @ X1 @ X0) @ expr @ X2 @ X1 @ X0 > expr @ X2 @ X1 @ X0)).
% 1.20/0.59 thf(func_def_148, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 1.20/0.59 thf(func_def_149, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 1.20/0.59 thf(func_def_150, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 1.20/0.59 thf(func_def_151, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 1.20/0.59 thf(func_def_152, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X0 > X0) @ product_prod @ (X2 > X2) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ X2 > X0 > X0)).
% 1.20/0.59 thf(func_def_153, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X0 > X0) @ product_prod @ (X2 > X2) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ X2 > X2 > X2)).
% 1.20/0.59 thf(func_def_154, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X0 > X0) @ product_prod @ (X2 > X2) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ X2 > X2 > option @ val @ X0 @ X2 @ X1)).
% 1.20/0.59 thf(func_def_155, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ (X0 > X0) @ product_prod @ (X2 > X2) @ product_prod @ (X2 > option @ val @ X0 @ X2 @ X1) @ X2 > X2)).
% 1.20/0.59 thf(func_def_156, type, sK69: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 1.20/0.59 thf(func_def_157, type, sK70: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 1.20/0.59 thf(func_def_158, type, sK71: (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > expr @ r @ l @ v > cntxt @ r @ l @ v > (l > option @ val @ r @ l @ v) > (l > option @ val @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r).
% 1.20/0.59 thf(func_def_159, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X0)).
% 1.20/0.59 thf(func_def_160, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X1)).
% 1.20/0.59 thf(func_def_161, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X2)).
% 1.20/0.59 thf(func_def_162, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X3)).
% 1.20/0.59 thf(func_def_163, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X4)).
% 1.20/0.59 thf(func_def_164, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X5)).
% 1.20/0.59 thf(func_def_165, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X5 @ X6 > X6)).
% 1.20/0.59 thf(func_def_166, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0)).
% 1.20/0.59 thf(func_def_167, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1)).
% 1.20/0.59 thf(func_def_168, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2)).
% 1.20/0.59 thf(func_def_169, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3)).
% 1.20/0.59 thf(func_def_170, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 1.20/0.59 thf(func_def_171, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 1.20/0.59 thf(func_def_172, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 1.20/0.59 thf(func_def_173, type, sK86: (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v).
% 1.20/0.59 thf(func_def_174, type, sK87: (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > (r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v) > r > r > option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v).
% 1.20/0.59 thf(func_def_175, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6)).
% 1.20/0.59 thf(func_def_176, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5)).
% 1.20/0.59 thf(func_def_177, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 1.20/0.59 thf(func_def_178, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 1.20/0.59 thf(func_def_179, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 1.20/0.59 thf(func_def_180, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 1.20/0.59 thf(func_def_181, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 1.20/0.59 thf(func_def_182, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4)).
% 1.20/0.59 thf(func_def_183, type, sK96: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 1.20/0.59 thf(func_def_184, type, sK97: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 1.20/0.59 thf(func_def_185, type, sK98: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 1.20/0.59 thf(func_def_186, type, sK99: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 1.20/0.59 thf(f988,plain,(
% 1.20/0.59 $false),
% 1.20/0.59 inference(subsumption_resolution,[],[f987,f962])).
% 1.20/0.59 thf(f962,plain,(
% 1.20/0.59 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1,X3 : X0] : (((fun_upd @ X0 @ X1 @ X2 @ X3 @ (X2 @ X3)) = X2)) )),
% 1.20/0.59 inference(equality_resolution,[],[f921])).
% 1.20/0.59 thf(f921,plain,(
% 1.20/0.59 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > X1,X3 : X0,X4 : X1] : (((fun_upd @ X0 @ X1 @ X2 @ X3 @ X4) = X2) | ((X2 @ X3) != X4)) )),
% 1.20/0.59 inference(cnf_transformation,[],[f840])).
% 1.20/0.59 thf(f840,plain,(
% 1.20/0.59 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : X0,X4 : X1] : ((((X2 @ X3) = X4) | ((fun_upd @ X0 @ X1 @ X2 @ X3 @ X4) != X2)) & (((fun_upd @ X0 @ X1 @ X2 @ X3 @ X4) = X2) | ((X2 @ X3) != X4)))),
% 1.20/0.59 inference(nnf_transformation,[],[f366])).
% 1.20/0.59 thf(f366,plain,(
% 1.20/0.59 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : X0,X4 : X1] : (((X2 @ X3) = X4) <=> ((fun_upd @ X0 @ X1 @ X2 @ X3 @ X4) = X2))),
% 1.20/0.59 inference(fool_elimination,[],[f365])).
% 1.20/0.59 thf(f365,plain,(
% 1.20/0.59 ! [X0 : $tType,X1 : $tType,X2 : X0 > X1,X3 : X0,X4 : X1] : (((X2 @ X3) = X4) = ((fun_upd @ X0 @ X1 @ X2 @ X3 @ X4) = X2))),
% 1.20/0.59 inference(rectify,[],[f21])).
% 1.20/0.59 thf(f21,axiom,(
% 1.20/0.59 ! [X0 : $tType,X4 : $tType,X12 : X0 > X4,X13 : X0,X14 : X4] : (((X12 @ X13) = X14) = ((fun_upd @ X0 @ X4 @ X12 @ X13 @ X14) = X12))),
% 1.20/0.59 file('/export/starexec/sandbox/tmp/tmp.372RJjqbd2/Vampire---4.8_1347',fact_20_fun__upd__idem__iff)).
% 1.20/0.59 thf(f987,plain,(
% 1.20/0.59 (s != (fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (s @ r2)))),
% 1.20/0.59 inference(backward_demodulation,[],[f876,f888])).
% 1.20/0.59 thf(f888,plain,(
% 1.20/0.59 ((s @ r2) = (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))),
% 1.20/0.59 inference(cnf_transformation,[],[f1])).
% 1.20/0.59 thf(f1,axiom,(
% 1.20/0.59 ((s @ r2) = (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2))))))),
% 1.20/0.59 file('/export/starexec/sandbox/tmp/tmp.372RJjqbd2/Vampire---4.8_1347',fact_0_local_Ofork_I2_J)).
% 1.20/0.59 thf(f876,plain,(
% 1.20/0.59 (s != (fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2)))))))),
% 1.20/0.59 inference(cnf_transformation,[],[f693])).
% 1.20/0.59 thf(f693,plain,(
% 1.20/0.59 (s != (fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2)))))))),
% 1.20/0.59 inference(flattening,[],[f269])).
% 1.20/0.59 thf(f269,negated_conjecture,(
% 1.20/0.59 ~(s = (fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2)))))))),
% 1.20/0.59 inference(negated_conjecture,[],[f268])).
% 1.20/0.59 thf(f268,conjecture,(
% 1.20/0.59 (s = (fun_upd @ r @ option @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ s @ r2 @ (some @ product_prod @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ (product_Pair @ (l > option @ val @ r @ l @ v) @ product_prod @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ sigma @ (product_Pair @ (l > option @ val @ r @ l @ v) @ expr @ r @ l @ v @ tau @ (plug @ r @ l @ v @ e @ (rfork @ r @ l @ v @ e2)))))))),
% 1.20/0.59 file('/export/starexec/sandbox/tmp/tmp.372RJjqbd2/Vampire---4.8_1347',conj_0)).
% 1.20/0.59 % SZS output end Proof for Vampire---4
% 1.20/0.59 % (1476)------------------------------
% 1.20/0.59 % (1476)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.20/0.59 % (1476)Termination reason: Refutation
% 1.20/0.59
% 1.20/0.59 % (1476)Memory used [KB]: 9083
% 1.20/0.59 % (1476)Time elapsed: 0.142 s
% 1.20/0.59 % (1476)Instructions burned: 444 (million)
% 1.20/0.59 % (1476)------------------------------
% 1.20/0.59 % (1476)------------------------------
% 1.20/0.59 % (1455)Success in time 0.241 s
% 1.20/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------