TSTP Solution File: ITP152^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP152^2 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 May 20 22:34:05 EDT 2024
% Result : Theorem 0.23s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP152^2 : TPTP v8.2.0. Released v7.5.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.36 % CPULimit : 300
% 0.22/0.36 % WCLimit : 300
% 0.22/0.36 % DateTime : Sat May 18 17:52:38 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.22/0.36 This is a TH1_THM_EQU_NAR problem
% 0.22/0.36 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/sandbox2/benchmark/theBenchmark.p
% 0.22/0.40 % (24076)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.40 % (24081)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)
% 0.22/0.40 % (24082)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.40 % (24079)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.40 % (24078)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)
% 0.22/0.40 % (24080)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)
% 0.22/0.40 % (24079)Instruction limit reached!
% 0.22/0.40 % (24079)------------------------------
% 0.22/0.40 % (24079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (24079)Termination reason: Unknown
% 0.22/0.40 % (24079)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (24079)Memory used [KB]: 1407
% 0.22/0.40 % (24079)Time elapsed: 0.004 s
% 0.22/0.40 % (24079)Instructions burned: 2 (million)
% 0.22/0.40 % (24079)------------------------------
% 0.22/0.40 % (24079)------------------------------
% 0.22/0.40 % (24080)Instruction limit reached!
% 0.22/0.40 % (24080)------------------------------
% 0.22/0.40 % (24080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (24080)Termination reason: Unknown
% 0.22/0.40 % (24080)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (24080)Memory used [KB]: 1407
% 0.22/0.40 % (24080)Time elapsed: 0.004 s
% 0.22/0.40 % (24080)Instructions burned: 2 (million)
% 0.22/0.40 % (24080)------------------------------
% 0.22/0.40 % (24080)------------------------------
% 0.22/0.41 % (24083)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 % (24083)Instruction limit reached!
% 0.22/0.41 % (24083)------------------------------
% 0.22/0.41 % (24083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (24083)Termination reason: Unknown
% 0.22/0.41 % (24083)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (24083)Memory used [KB]: 1407
% 0.22/0.41 % (24083)Time elapsed: 0.004 s
% 0.22/0.41 % (24083)Instructions burned: 3 (million)
% 0.22/0.41 % (24083)------------------------------
% 0.22/0.41 % (24083)------------------------------
% 0.22/0.41 % (24082)Instruction limit reached!
% 0.22/0.41 % (24082)------------------------------
% 0.22/0.41 % (24082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (24082)Termination reason: Unknown
% 0.22/0.41 % (24082)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (24082)Memory used [KB]: 1791
% 0.22/0.41 % (24082)Time elapsed: 0.014 s
% 0.22/0.41 % (24082)Instructions burned: 18 (million)
% 0.22/0.41 % (24082)------------------------------
% 0.22/0.41 % (24082)------------------------------
% 0.22/0.41 % (24077)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)
% 0.22/0.42 % (24077)Instruction limit reached!
% 0.22/0.42 % (24077)------------------------------
% 0.22/0.42 % (24077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (24077)Termination reason: Unknown
% 0.22/0.42 % (24077)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (24077)Memory used [KB]: 1535
% 0.22/0.42 % (24077)Time elapsed: 0.004 s
% 0.22/0.42 % (24077)Instructions burned: 4 (million)
% 0.22/0.42 % (24077)------------------------------
% 0.22/0.42 % (24077)------------------------------
% 0.22/0.42 % (24084)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)
% 0.22/0.42 % (24078)Instruction limit reached!
% 0.22/0.42 % (24078)------------------------------
% 0.22/0.42 % (24078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (24078)Termination reason: Unknown
% 0.22/0.42 % (24078)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (24078)Memory used [KB]: 1918
% 0.22/0.42 % (24078)Time elapsed: 0.020 s
% 0.22/0.42 % (24078)Instructions burned: 28 (million)
% 0.22/0.42 % (24078)------------------------------
% 0.22/0.42 % (24078)------------------------------
% 0.22/0.42 % (24085)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)
% 0.22/0.43 % (24086)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)
% 0.22/0.43 % (24089)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 % (24086)Instruction limit reached!
% 0.22/0.43 % (24086)------------------------------
% 0.22/0.43 % (24086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (24086)Termination reason: Unknown
% 0.22/0.43 % (24086)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (24086)Memory used [KB]: 1407
% 0.22/0.43 % (24086)Time elapsed: 0.005 s
% 0.22/0.43 % (24086)Instructions burned: 4 (million)
% 0.22/0.43 % (24086)------------------------------
% 0.22/0.43 % (24086)------------------------------
% 0.22/0.43 % (24085)Instruction limit reached!
% 0.22/0.43 % (24085)------------------------------
% 0.22/0.43 % (24085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (24085)Termination reason: Unknown
% 0.22/0.43 % (24085)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (24085)Memory used [KB]: 1663
% 0.22/0.43 % (24085)Time elapsed: 0.012 s
% 0.22/0.43 % (24085)Instructions burned: 15 (million)
% 0.22/0.43 % (24085)------------------------------
% 0.22/0.43 % (24085)------------------------------
% 0.22/0.43 % (24090)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.44 % (24088)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)
% 0.23/0.44 % (24089)Instruction limit reached!
% 0.23/0.44 % (24089)------------------------------
% 0.23/0.44 % (24089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (24089)Termination reason: Unknown
% 0.23/0.44 % (24089)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (24089)Memory used [KB]: 1535
% 0.23/0.44 % (24089)Time elapsed: 0.007 s
% 0.23/0.44 % (24089)Instructions burned: 7 (million)
% 0.23/0.44 % (24089)------------------------------
% 0.23/0.44 % (24089)------------------------------
% 0.23/0.44 % (24084)Instruction limit reached!
% 0.23/0.44 % (24084)------------------------------
% 0.23/0.44 % (24084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (24084)Termination reason: Unknown
% 0.23/0.44 % (24084)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (24084)Memory used [KB]: 2174
% 0.23/0.44 % (24084)Time elapsed: 0.022 s
% 0.23/0.44 % (24084)Instructions burned: 37 (million)
% 0.23/0.44 % (24084)------------------------------
% 0.23/0.44 % (24084)------------------------------
% 0.23/0.44 % (24090)Instruction limit reached!
% 0.23/0.44 % (24090)------------------------------
% 0.23/0.44 % (24090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (24090)Termination reason: Unknown
% 0.23/0.44 % (24090)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (24090)Memory used [KB]: 1663
% 0.23/0.44 % (24090)Time elapsed: 0.010 s
% 0.23/0.44 % (24090)Instructions burned: 16 (million)
% 0.23/0.44 % (24090)------------------------------
% 0.23/0.44 % (24090)------------------------------
% 0.23/0.44 % (24081)First to succeed.
% 0.23/0.45 % (24091)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)
% 0.23/0.45 % (24081)Refutation found. Thanks to Tanya!
% 0.23/0.45 % SZS status Theorem for theBenchmark
% 0.23/0.45 % SZS output start Proof for theBenchmark
% 0.23/0.45 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 0.23/0.45 thf(type_def_6, type, set: ($tType) > $tType).
% 0.23/0.45 thf(type_def_8, type, multiset: ($tType) > $tType).
% 0.23/0.45 thf(type_def_9, type, a: $tType).
% 0.23/0.45 thf(func_def_0, type, product_prod: ($tType * $tType) > $tType).
% 0.23/0.45 thf(func_def_1, type, multiset: ($tType) > $tType).
% 0.23/0.45 thf(func_def_2, type, set: ($tType) > $tType).
% 0.23/0.45 thf(func_def_3, type, a: $tType).
% 0.23/0.45 thf(func_def_4, type, preorder: !>[X0: $tType]:($o)).
% 0.23/0.45 thf(func_def_5, type, type: !>[X0: $tType]:($o)).
% 0.23/0.45 thf(func_def_6, type, plus: !>[X0: $tType]:($o)).
% 0.23/0.45 thf(func_def_7, type, zero: !>[X0: $tType]:($o)).
% 0.23/0.45 thf(func_def_8, type, minus: !>[X0: $tType]:($o)).
% 0.23/0.45 thf(func_def_9, type, ord: !>[X0: $tType]:($o)).
% 0.23/0.45 thf(func_def_10, type, top: !>[X0: $tType]:($o)).
% 0.23/0.45 thf(func_def_11, type, linorder: !>[X0: $tType]:($o)).
% 0.23/0.45 thf(func_def_12, type, ab_group_add: !>[X0: $tType]:($o)).
% 0.23/0.45 thf(func_def_13, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 0.23/0.45 thf(func_def_14, type, real_V1076094709vector: !>[X0: $tType]:($o)).
% 0.23/0.45 thf(func_def_15, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:(set @ product_prod @ X0 @ X0 > (X0 > X1) > $o)).
% 0.23/0.45 thf(func_def_16, type, minus_minus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.23/0.45 thf(func_def_17, type, plus_plus: !>[X0: $tType]:(X0 > X0 > X0)).
% 0.23/0.45 thf(func_def_18, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.23/0.45 thf(func_def_19, type, add_mset: !>[X0: $tType]:(X0 > multiset @ X0 > multiset @ X0)).
% 0.23/0.45 thf(func_def_20, type, comm_monoid_sum_mset: !>[X0: $tType]:((X0 > X0 > X0) > X0 > multiset @ X0 > X0)).
% 0.23/0.45 thf(func_def_21, type, fold_mset: !>[X0: $tType, X1: $tType]:((X0 > X1 > X1) > X1 > multiset @ X0 > X1)).
% 0.23/0.45 thf(func_def_22, type, is_empty: !>[X0: $tType]:(multiset @ X0 > $o)).
% 0.23/0.45 thf(func_def_23, type, mult: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > set @ product_prod @ multiset @ X0 @ multiset @ X0)).
% 0.23/0.45 thf(func_def_24, type, mult1: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > set @ product_prod @ multiset @ X0 @ multiset @ X0)).
% 0.23/0.45 thf(func_def_25, type, multp: !>[X0: $tType]:((X0 > X0 > $o) > multiset @ X0 > multiset @ X0 > $o)).
% 0.23/0.45 thf(func_def_26, type, set_mset: !>[X0: $tType]:(multiset @ X0 > set @ X0)).
% 0.23/0.45 thf(func_def_27, type, order_preorder_on: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.45 thf(func_def_28, type, order_215145569der_on: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.45 thf(func_def_29, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.23/0.45 thf(func_def_30, type, top_top: !>[X0: $tType]:(X0)).
% 0.23/0.45 thf(func_def_31, type, prefer310429814s_good: !>[X0: $tType]:(X0 > set @ X0 > set @ product_prod @ X0 @ X0 > set @ X0)).
% 0.23/0.45 thf(func_def_32, type, prefer199794634erence: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.45 thf(func_def_33, type, prefer1997167224erence: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.45 thf(func_def_34, type, prefer1801827867axioms: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.45 thf(func_def_35, type, product_Pair: !>[X0: $tType, X1: $tType]:(X0 > X1 > product_prod @ X0 @ X1)).
% 0.23/0.45 thf(func_def_36, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2)).
% 0.23/0.45 thf(func_def_37, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.23/0.45 thf(func_def_38, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3)).
% 0.23/0.45 thf(func_def_39, type, product_rec_bool: !>[X0: $tType]:(X0 > X0 > $o > X0)).
% 0.23/0.45 thf(func_def_40, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.23/0.45 thf(func_def_41, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.23/0.45 thf(func_def_42, type, product_fst: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 0.23/0.45 thf(func_def_43, type, product_snd: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 0.23/0.45 thf(func_def_44, type, product_swap: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > product_prod @ X1 @ X0)).
% 0.23/0.45 thf(func_def_45, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3)).
% 0.23/0.45 thf(func_def_46, type, asym: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.45 thf(func_def_47, type, inv_image: !>[X0: $tType, X1: $tType]:(set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1)).
% 0.23/0.45 thf(func_def_48, type, inv_imagep: !>[X0: $tType, X1: $tType]:((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o)).
% 0.23/0.45 thf(func_def_49, type, irrefl: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.45 thf(func_def_50, type, refl_on: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.45 thf(func_def_51, type, total_on: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.45 thf(func_def_52, type, trans: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.45 thf(func_def_53, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.23/0.45 thf(func_def_54, type, image: !>[X0: $tType, X1: $tType]:((X0 > X1) > set @ X0 > set @ X1)).
% 0.23/0.45 thf(func_def_55, type, lex_prod: !>[X0: $tType, X1: $tType]:(set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1)).
% 0.23/0.45 thf(func_def_56, type, same_fst: !>[X0: $tType, X1: $tType]:((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1)).
% 0.23/0.45 thf(func_def_57, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.23/0.45 thf(func_def_58, type, carrier: set @ a).
% 0.23/0.45 thf(func_def_59, type, relation: set @ product_prod @ a @ a).
% 0.23/0.45 thf(func_def_60, type, x: a).
% 0.23/0.45 thf(func_def_61, type, y: a).
% 0.23/0.45 thf(func_def_77, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0)).
% 0.23/0.45 thf(func_def_78, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1)).
% 0.23/0.45 thf(func_def_79, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2)).
% 0.23/0.45 thf(func_def_80, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3)).
% 0.23/0.45 thf(func_def_81, type, sK4: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > X0)).
% 0.23/0.45 thf(func_def_82, type, sK5: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > X0)).
% 0.23/0.45 thf(func_def_83, type, sK6: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > X0)).
% 0.23/0.45 thf(func_def_84, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3)).
% 0.23/0.45 thf(func_def_85, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.23/0.45 thf(func_def_86, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.23/0.45 thf(func_def_87, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.23/0.45 thf(func_def_88, type, sK11: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 0.23/0.45 thf(func_def_89, type, sK12: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 0.23/0.45 thf(func_def_90, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X0)).
% 0.23/0.45 thf(func_def_91, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X1)).
% 0.23/0.45 thf(func_def_92, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType]:(product_prod @ X0 @ product_prod @ X1 @ X2 > X2)).
% 0.23/0.45 thf(func_def_93, type, sK16: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X1)).
% 0.23/0.45 thf(func_def_94, type, sK17: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > $o) > X0)).
% 0.23/0.45 thf(func_def_95, type, sK18: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 0.23/0.45 thf(func_def_96, type, sK19: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 0.23/0.45 thf(func_def_97, type, sK20: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 0.23/0.45 thf(func_def_98, type, sK21: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 0.23/0.45 thf(func_def_99, type, sK22: !>[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)).
% 0.23/0.45 thf(func_def_100, type, sK23: !>[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)).
% 0.23/0.45 thf(func_def_101, type, sK24: !>[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)).
% 0.23/0.45 thf(func_def_102, type, sK25: !>[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)).
% 0.23/0.45 thf(func_def_103, type, sK26: !>[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)).
% 0.23/0.45 thf(func_def_104, type, sK27: !>[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)).
% 0.23/0.45 thf(func_def_105, type, sK28: !>[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)).
% 0.23/0.45 thf(func_def_106, type, sK29: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.23/0.45 thf(func_def_107, type, sK30: !>[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)).
% 0.23/0.45 thf(func_def_108, type, sK31: !>[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)).
% 0.23/0.45 thf(func_def_109, type, sK32: !>[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)).
% 0.23/0.45 thf(func_def_110, type, sK33: !>[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)).
% 0.23/0.45 thf(func_def_111, type, sK34: !>[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)).
% 0.23/0.45 thf(func_def_112, type, sK35: !>[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)).
% 0.23/0.45 thf(func_def_113, type, sK36: !>[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)).
% 0.23/0.45 thf(func_def_114, type, sK37: !>[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)).
% 0.23/0.45 thf(func_def_115, type, sK38: !>[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)).
% 0.23/0.45 thf(func_def_116, type, sK39: !>[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)).
% 0.23/0.45 thf(func_def_117, 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) > X2)).
% 0.23/0.45 thf(func_def_118, 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) > X1)).
% 0.23/0.45 thf(func_def_119, 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) > X0)).
% 0.23/0.45 thf(func_def_120, type, sK43: !>[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)).
% 0.23/0.45 thf(func_def_121, type, sK44: !>[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)).
% 0.23/0.45 thf(func_def_122, type, sK45: !>[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)).
% 0.23/0.45 thf(func_def_123, type, sK46: !>[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)).
% 0.23/0.45 thf(func_def_124, type, sK47: !>[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)).
% 0.23/0.45 thf(func_def_125, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2)).
% 0.23/0.45 thf(func_def_126, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1)).
% 0.23/0.45 thf(func_def_127, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0)).
% 0.23/0.45 thf(func_def_128, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X0)).
% 0.23/0.45 thf(func_def_129, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X1)).
% 0.23/0.45 thf(func_def_130, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X2)).
% 0.23/0.45 thf(func_def_131, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X3)).
% 0.23/0.45 thf(func_def_132, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X4 > X4)).
% 0.23/0.45 thf(func_def_133, type, sK56: !>[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)).
% 0.23/0.45 thf(func_def_134, type, sK57: !>[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)).
% 0.23/0.45 thf(func_def_135, type, sK58: !>[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)).
% 0.23/0.45 thf(func_def_136, type, sK59: !>[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)).
% 0.23/0.45 thf(func_def_137, type, sK60: !>[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)).
% 0.23/0.45 thf(func_def_138, type, sK61: !>[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)).
% 0.23/0.45 thf(func_def_140, type, ph63: !>[X0: $tType]:(X0)).
% 0.23/0.45 thf(f889,plain,(
% 0.23/0.45 $false),
% 0.23/0.45 inference(subsumption_resolution,[],[f888,f848])).
% 0.23/0.45 thf(f848,plain,(
% 0.23/0.45 ((member @ a @ y @ carrier) = $true)),
% 0.23/0.45 inference(cnf_transformation,[],[f651])).
% 0.23/0.45 thf(f651,plain,(
% 0.23/0.45 ((member @ a @ y @ carrier) = $true)),
% 0.23/0.45 inference(fool_elimination,[],[f650])).
% 0.23/0.45 thf(f650,plain,(
% 0.23/0.45 (member @ a @ y @ carrier)),
% 0.23/0.45 inference(rectify,[],[f289])).
% 0.23/0.45 thf(f289,axiom,(
% 0.23/0.45 (member @ a @ y @ carrier)),
% 0.23/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 0.23/0.45 thf(f888,plain,(
% 0.23/0.45 ((member @ a @ y @ carrier) != $true)),
% 0.23/0.45 inference(subsumption_resolution,[],[f887,f855])).
% 0.23/0.45 thf(f855,plain,(
% 0.23/0.45 ((member @ a @ x @ carrier) = $true)),
% 0.23/0.45 inference(cnf_transformation,[],[f599])).
% 0.23/0.45 thf(f599,plain,(
% 0.23/0.45 ((member @ a @ x @ carrier) = $true)),
% 0.23/0.45 inference(fool_elimination,[],[f598])).
% 0.23/0.45 thf(f598,plain,(
% 0.23/0.45 (member @ a @ x @ carrier)),
% 0.23/0.45 inference(rectify,[],[f288])).
% 0.23/0.45 thf(f288,axiom,(
% 0.23/0.45 (member @ a @ x @ carrier)),
% 0.23/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.23/0.45 thf(f887,plain,(
% 0.23/0.45 ((member @ a @ x @ carrier) != $true) | ((member @ a @ y @ carrier) != $true)),
% 0.23/0.45 inference(subsumption_resolution,[],[f886,f843])).
% 0.23/0.45 thf(f843,plain,(
% 0.23/0.45 ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ x) @ relation) != $true)),
% 0.23/0.45 inference(cnf_transformation,[],[f769])).
% 0.23/0.45 thf(f769,plain,(
% 0.23/0.45 ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ x) @ relation) != $true) & ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ x @ y) @ relation) != $true)),
% 0.23/0.45 inference(ennf_transformation,[],[f395])).
% 0.23/0.45 thf(f395,plain,(
% 0.23/0.45 ~(((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ x) @ relation) = $true) | ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ x @ y) @ relation) = $true))),
% 0.23/0.45 inference(fool_elimination,[],[f394])).
% 0.23/0.45 thf(f394,plain,(
% 0.23/0.45 ~((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ x @ y) @ relation) | (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ x) @ relation))),
% 0.23/0.45 inference(rectify,[],[f292])).
% 0.23/0.45 thf(f292,negated_conjecture,(
% 0.23/0.45 ~((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ x @ y) @ relation) | (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ x) @ relation))),
% 0.23/0.45 inference(negated_conjecture,[],[f291])).
% 0.23/0.45 thf(f291,conjecture,(
% 0.23/0.45 (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ x @ y) @ relation) | (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ x) @ relation)),
% 0.23/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3)).
% 0.23/0.45 thf(f886,plain,(
% 0.23/0.45 ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ x) @ relation) = $true) | ((member @ a @ x @ carrier) != $true) | ((member @ a @ y @ carrier) != $true)),
% 0.23/0.45 inference(trivial_inequality_removal,[],[f871])).
% 0.23/0.45 thf(f871,plain,(
% 0.23/0.45 ((member @ a @ x @ carrier) != $true) | ($true != $true) | ((member @ a @ y @ carrier) != $true) | ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ x) @ relation) = $true)),
% 0.23/0.45 inference(superposition,[],[f842,f820])).
% 0.23/0.45 thf(f820,plain,(
% 0.23/0.45 ( ! [X0 : a,X1 : a] : (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) = $true) | ((member @ a @ X1 @ carrier) != $true) | ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) = $true) | ((member @ a @ X0 @ carrier) != $true)) )),
% 0.23/0.45 inference(cnf_transformation,[],[f782])).
% 0.23/0.45 thf(f782,plain,(
% 0.23/0.45 ! [X0 : a,X1 : a] : (((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) != $true) | ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) != $true) | ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) = $true)) & ((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) = $true) & ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) != $true)) | ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) = $true))) | ((member @ a @ X1 @ carrier) != $true) | ((member @ a @ X0 @ carrier) != $true))),
% 0.23/0.45 inference(flattening,[],[f781])).
% 0.23/0.45 thf(f781,plain,(
% 0.23/0.45 ! [X0 : a,X1 : a] : (((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) != $true) | (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) != $true) | ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) = $true))) & ((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) = $true) & ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) != $true)) | ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) = $true))) | ((member @ a @ X1 @ carrier) != $true) | ((member @ a @ X0 @ carrier) != $true))),
% 0.23/0.45 inference(nnf_transformation,[],[f754])).
% 0.23/0.45 thf(f754,plain,(
% 0.23/0.45 ! [X0 : a,X1 : a] : ((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) != $true) <=> (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) = $true) & ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) != $true))) | ((member @ a @ X1 @ carrier) != $true) | ((member @ a @ X0 @ carrier) != $true))),
% 0.23/0.45 inference(flattening,[],[f753])).
% 0.23/0.45 thf(f753,plain,(
% 0.23/0.45 ! [X0 : a,X1 : a] : ((((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) != $true) <=> (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) = $true) & ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) != $true))) | (((member @ a @ X0 @ carrier) != $true) | ((member @ a @ X1 @ carrier) != $true)))),
% 0.23/0.45 inference(ennf_transformation,[],[f736])).
% 0.23/0.45 thf(f736,plain,(
% 0.23/0.45 ! [X0 : a,X1 : a] : ((((member @ a @ X0 @ carrier) = $true) & ((member @ a @ X1 @ carrier) = $true)) => (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) != $true) <=> (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) = $true) & ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) != $true))))),
% 0.23/0.45 inference(flattening,[],[f605])).
% 0.23/0.45 thf(f605,plain,(
% 0.23/0.45 ! [X0 : a,X1 : a] : ((((member @ a @ X0 @ carrier) = $true) & ((member @ a @ X1 @ carrier) = $true)) => (~((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) = $true) <=> (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) = $true) & ~((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) = $true))))),
% 0.23/0.45 inference(fool_elimination,[],[f604])).
% 0.23/0.45 thf(f604,plain,(
% 0.23/0.45 ! [X0 : a,X1 : a] : (((member @ a @ X1 @ carrier) & (member @ a @ X0 @ carrier)) => (~(member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation) = (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) & ~(member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X1 @ X0) @ relation)))),
% 0.23/0.45 inference(rectify,[],[f6])).
% 0.23/0.45 thf(f6,axiom,(
% 0.23/0.45 ! [X5 : a,X6 : a] : (((member @ a @ X6 @ carrier) & (member @ a @ X5 @ carrier)) => (~(member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X6 @ X5) @ relation) = (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X5 @ X6) @ relation) & ~(member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X6 @ X5) @ relation)))),
% 0.23/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_strict__not__refl__weak)).
% 0.23/0.45 thf(f842,plain,(
% 0.23/0.45 ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ x @ y) @ relation) != $true)),
% 0.23/0.45 inference(cnf_transformation,[],[f769])).
% 0.23/0.45 % SZS output end Proof for theBenchmark
% 0.23/0.45 % (24081)------------------------------
% 0.23/0.45 % (24081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (24081)Termination reason: Refutation
% 0.23/0.45
% 0.23/0.45 % (24081)Memory used [KB]: 6908
% 0.23/0.45 % (24081)Time elapsed: 0.045 s
% 0.23/0.45 % (24081)Instructions burned: 66 (million)
% 0.23/0.45 % (24081)------------------------------
% 0.23/0.45 % (24081)------------------------------
% 0.23/0.45 % (24075)Success in time 0.065 s
% 0.23/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------