%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP078^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:14 AM UTC 2026
% Result : Theorem 0.55s 0.42s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP078^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:48:33 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.42 % (1260529)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.55/0.42 % (1260536)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=913486045:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.55/0.42 % (1260536)Instruction limit reached!
% 0.55/0.42 % (1260536)------------------------------
% 0.55/0.42 % (1260536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260536)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260536)Termination reason: Instruction limit
% 0.55/0.42 % (1260536)Termination phase: shuffling
% 0.55/0.42 % (1260536)Time elapsed: 0.002 s
% 0.55/0.42 % (1260536)Peak memory usage: 10 MB
% 0.55/0.42 % (1260536)Instructions burned: 6 (million)
% 0.55/0.42 % (1260540)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.55/0.42 % (1260540)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.55/0.42 % (1260535)lrs+10_16_si=on:nwc=1.5:random_seed=1039631550:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.55/0.42 % (1260534)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2492033056:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.55/0.42 % (1260537)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3249583033:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.55/0.42 % (1260538)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=723407177:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.55/0.42 % (1260540)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3485531388:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.55/0.42 % (1260542)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3101488720:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.55/0.42 % (1260542)Instruction limit reached!
% 0.55/0.42 % (1260542)------------------------------
% 0.55/0.42 % (1260542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260542)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260542)Termination reason: Instruction limit
% 0.55/0.42 % (1260542)Termination phase: shuffling
% 0.55/0.42 % (1260542)Time elapsed: 0.001 s
% 0.55/0.42 % (1260542)Peak memory usage: 10 MB
% 0.55/0.42 % (1260542)Instructions burned: 2 (million)
% 0.55/0.42 % (1260535)Instruction limit reached!
% 0.55/0.42 % (1260535)------------------------------
% 0.55/0.42 % (1260535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260535)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260535)Termination reason: Instruction limit
% 0.55/0.42 % (1260535)Termination phase: Property scanning
% 0.55/0.42 % (1260535)Time elapsed: 0.010 s
% 0.55/0.42 % (1260535)Peak memory usage: 10 MB
% 0.55/0.42 % (1260535)Instructions burned: 19 (million)
% 0.55/0.42 % (1260539)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=865546193:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.55/0.42 % (1260538)Instruction limit reached!
% 0.55/0.42 % (1260538)------------------------------
% 0.55/0.42 % (1260538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260538)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260538)Termination reason: Instruction limit
% 0.55/0.42 % (1260538)Termination phase: shuffling
% 0.55/0.42 % (1260538)Time elapsed: 0.013 s
% 0.55/0.42 % (1260538)Peak memory usage: 10 MB
% 0.55/0.42 % (1260538)Instructions burned: 27 (million)
% 0.55/0.42 % (1260549)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1795772059:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.55/0.42 % (1260549)Instruction limit reached!
% 0.55/0.42 % (1260549)------------------------------
% 0.55/0.42 % (1260549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260549)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260549)Termination reason: Instruction limit
% 0.55/0.42 % (1260549)Termination phase: shuffling
% 0.55/0.42 % (1260549)Time elapsed: 0.002 s
% 0.55/0.42 % (1260549)Peak memory usage: 10 MB
% 0.55/0.42 % (1260549)Instructions burned: 6 (million)
% 0.55/0.42 % (1260550)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.42 % (1260550)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1089663189:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.55/0.42 % (1260554)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.55/0.42 % (1260554)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.42 % (1260552)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3641250984:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.55/0.42 % (1260550)Instruction limit reached!
% 0.55/0.42 % (1260550)------------------------------
% 0.55/0.42 % (1260550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260550)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260550)Termination reason: Instruction limit
% 0.55/0.42 % (1260550)Termination phase: shuffling
% 0.55/0.42 % (1260550)Time elapsed: 0.004 s
% 0.55/0.42 % (1260550)Peak memory usage: 10 MB
% 0.55/0.42 % (1260550)Instructions burned: 9 (million)
% 0.55/0.42 % (1260554)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=684853469:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.55/0.42 % (1260552)Instruction limit reached!
% 0.55/0.42 % (1260552)------------------------------
% 0.55/0.42 % (1260552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260552)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260552)Termination reason: Instruction limit
% 0.55/0.42 % (1260552)Termination phase: shuffling
% 0.55/0.42 % (1260552)Time elapsed: 0.007 s
% 0.55/0.42 % (1260552)Peak memory usage: 10 MB
% 0.55/0.42 % (1260552)Instructions burned: 13 (million)
% 0.55/0.42 % (1260534)Instruction limit reached!
% 0.55/0.42 % (1260534)------------------------------
% 0.55/0.42 % (1260534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260534)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260534)Termination reason: Instruction limit
% 0.55/0.42 % (1260534)Termination phase: Property scanning
% 0.55/0.42 % (1260534)Time elapsed: 0.043 s
% 0.55/0.42 % (1260534)Peak memory usage: 12 MB
% 0.55/0.42 % (1260534)Instructions burned: 87 (million)
% 0.55/0.42 % (1260554)Instruction limit reached!
% 0.55/0.42 % (1260554)------------------------------
% 0.55/0.42 % (1260554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260554)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260554)Termination reason: Instruction limit
% 0.55/0.42 % (1260554)Termination phase: shuffling
% 0.55/0.42 % (1260554)Time elapsed: 0.007 s
% 0.55/0.42 % (1260554)Peak memory usage: 10 MB
% 0.55/0.42 % (1260554)Instructions burned: 28 (million)
% 0.55/0.42 % (1260557)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1558477954:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.55/0.42 % (1260561)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=183665540:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.55/0.42 % (1260560)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.55/0.42 % (1260559)lrs+10_1_si=on:cs=on:random_seed=1647934412:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.55/0.42 % (1260560)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=570520578:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.55/0.42 % (1260560)Instruction limit reached!
% 0.55/0.42 % (1260560)------------------------------
% 0.55/0.42 % (1260560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260560)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260560)Termination reason: Instruction limit
% 0.55/0.42 % (1260560)Termination phase: shuffling
% 0.55/0.42 % (1260560)Time elapsed: 0.002 s
% 0.55/0.42 % (1260560)Peak memory usage: 10 MB
% 0.55/0.42 % (1260560)Instructions burned: 3 (million)
% 0.55/0.42 % (1260561)Instruction limit reached!
% 0.55/0.42 % (1260561)------------------------------
% 0.55/0.42 % (1260561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260561)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260561)Termination reason: Instruction limit
% 0.55/0.42 % (1260561)Termination phase: Property scanning
% 0.55/0.42 % (1260561)Time elapsed: 0.011 s
% 0.55/0.42 % (1260561)Peak memory usage: 12 MB
% 0.55/0.42 % (1260561)Instructions burned: 42 (million)
% 0.55/0.42 % (1260559)Instruction limit reached!
% 0.55/0.42 % (1260559)------------------------------
% 0.55/0.42 % (1260559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260559)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260559)Termination reason: Instruction limit
% 0.55/0.42 % (1260559)Termination phase: shuffling
% 0.55/0.42 % (1260559)Time elapsed: 0.005 s
% 0.55/0.42 % (1260559)Peak memory usage: 10 MB
% 0.55/0.42 % (1260559)Instructions burned: 9 (million)
% 0.55/0.42 % (1260537) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1260529-1260537"...
% 0.55/0.42 % (1260537)...printing done.
% 0.55/0.42 % (1260537)Refutation found. Thanks to Tanya!
% 0.55/0.42 % SZS status Theorem for theBenchmark
% 0.55/0.42 % SZS output start Proof for theBenchmark
% 0.55/0.42 thf(type_def_5, type, multiset: $tType > $tType).
% 0.55/0.42 thf(type_def_6, type, real: $tType).
% 0.55/0.42 thf(type_def_7, type, list: $tType > $tType).
% 0.55/0.42 thf(type_def_8, type, set: $tType > $tType).
% 0.55/0.42 thf(type_def_9, type, nat: $tType).
% 0.55/0.42 thf(type_def_10, type, int: $tType).
% 0.55/0.42 thf(type_def_11, type, a: $tType).
% 0.55/0.42 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.55/0.42 thf(func_def_0, type, preorder: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_1, type, dioid: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_2, type, type: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_3, type, size: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_4, type, zero: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_5, type, field: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_6, type, ring_1: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_7, type, ord: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_8, type, ring_char_0: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_9, type, order: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_10, type, group_add: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_11, type, semiring_1: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_12, type, linorder: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_13, type, semiring_char_0: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_14, type, wellorder: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_15, type, division_ring: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_16, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_17, type, linordered_field: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_18, type, boolean_algebra: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_19, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_20, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_21, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_22, type, archim1804426504_field: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_23, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 0.55/0.42 thf(func_def_24, type, inverse_inverse: !>[X0: $tType]:((X0 > X0))).
% 0.55/0.42 thf(func_def_25, type, bij_betw: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > $o))).
% 0.55/0.42 thf(func_def_26, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 0.55/0.42 thf(func_def_27, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 0.55/0.42 thf(func_def_28, type, uminus_uminus: !>[X0: $tType]:((X0 > X0))).
% 0.55/0.42 thf(func_def_29, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.55/0.42 thf(func_def_30, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.55/0.42 thf(func_def_31, type, nat2: (int > nat)).
% 0.55/0.42 thf(func_def_32, type, ring_1_of_int: !>[X0: $tType]:((int > X0))).
% 0.55/0.42 thf(func_def_33, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 0.55/0.42 thf(func_def_34, type, map: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 0.55/0.42 thf(func_def_35, type, list_ex: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 0.55/0.42 thf(func_def_36, type, map_tailrec: !>[X0: $tType, X1: $tType]:(((X0 > X1) > list @ X0 > list @ X1))).
% 0.55/0.42 thf(func_def_37, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 0.55/0.42 thf(func_def_38, type, upt: (nat > nat > list @ nat)).
% 0.55/0.42 thf(func_def_39, type, image_mset: !>[X0: $tType, X1: $tType]:(((X0 > X1) > multiset @ X0 > multiset @ X1))).
% 0.55/0.42 thf(func_def_40, type, is_empty: !>[X0: $tType]:((multiset @ X0 > $o))).
% 0.55/0.42 thf(func_def_41, type, mset: !>[X0: $tType]:((list @ X0 > multiset @ X0))).
% 0.55/0.42 thf(func_def_42, type, mset_set: !>[X0: $tType]:((set @ X0 > multiset @ X0))).
% 0.55/0.42 thf(func_def_43, type, size_multiset: !>[X0: $tType]:(((X0 > nat) > multiset @ X0 > nat))).
% 0.55/0.42 thf(func_def_44, type, semiring_1_of_nat: !>[X0: $tType]:((nat > X0))).
% 0.55/0.42 thf(func_def_45, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 0.55/0.42 thf(func_def_46, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.55/0.42 thf(func_def_47, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.55/0.42 thf(func_def_48, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.55/0.42 thf(func_def_49, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 0.55/0.42 thf(func_def_50, type, set_or1433837966ssThan: !>[X0: $tType]:((X0 > X0 > set @ X0))).
% 0.55/0.42 thf(func_def_51, type, set_ord_lessThan: !>[X0: $tType]:((X0 > set @ X0))).
% 0.55/0.42 thf(func_def_52, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.55/0.42 thf(func_def_53, type, f: (nat > nat)).
% 0.55/0.42 thf(func_def_54, type, xs: list @ a).
% 0.55/0.42 thf(func_def_55, type, ys: list @ a).
% 0.55/0.42 thf(func_def_59, type, db1: !>[X0: $tType]:(X0)).
% 0.55/0.42 thf(func_def_60, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.55/0.42 thf(func_def_61, type, db0: !>[X0: $tType]:(X0)).
% 0.55/0.42 thf(func_def_62, type, vAND: ($o > $o > $o)).
% 0.55/0.42 thf(func_def_63, type, db2: !>[X0: $tType]:(X0)).
% 0.55/0.42 thf(func_def_64, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.55/0.42 thf(func_def_65, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.55/0.42 thf(func_def_66, type, vIMP: ($o > $o > $o)).
% 0.55/0.42 thf(func_def_67, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.55/0.42 thf(func_def_68, type, db3: !>[X0: $tType]:(X0)).
% 0.55/0.42 thf(func_def_69, type, db4: !>[X0: $tType]:(X0)).
% 0.55/0.42 thf(func_def_70, type, sK0: (int > nat)).
% 0.55/0.42 thf(func_def_71, type, sK1: (int > nat)).
% 0.55/0.42 thf(func_def_72, type, sK2: ((nat > $o) > int > nat)).
% 0.55/0.42 thf(func_def_73, type, sK3: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.55/0.42 thf(func_def_74, type, sK4: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > $o) > X1))).
% 0.55/0.42 thf(func_def_75, type, sK5: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 0.55/0.42 thf(func_def_76, type, sK6: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 0.55/0.42 thf(func_def_77, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1) > set @ X1 > X1))).
% 0.55/0.42 thf(func_def_78, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X1) > set @ X1 > X1))).
% 0.55/0.42 thf(func_def_79, type, sK9: !>[X0: $tType]:((nat > (nat > X0 > $o) > list @ X0))).
% 0.55/0.42 thf(func_def_80, type, sK10: !>[X0: $tType]:((nat > (nat > X0 > $o) > nat))).
% 0.55/0.42 thf(func_def_81, type, sK11: !>[X0: $tType]:((nat > (nat > X0 > $o) > X0))).
% 0.55/0.42 thf(func_def_82, type, sK12: !>[X0: $tType]:((list @ X0 > nat > (nat > X0 > $o) > nat))).
% 0.55/0.42 thf(func_def_83, type, sK13: !>[X0: $tType]:((X0 > X0))).
% 0.55/0.42 thf(func_def_84, type, sK14: !>[X0: $tType]:((multiset @ X0 > list @ X0))).
% 0.55/0.42 thf(func_def_85, type, sK15: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > X0 > X1))).
% 0.55/0.42 thf(func_def_86, type, sK16: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 0.55/0.42 thf(func_def_87, type, sK17: ((nat > $o) > nat)).
% 0.55/0.42 thf(func_def_88, type, sK18: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X1 > $o) > X1))).
% 0.55/0.42 thf(func_def_89, type, sK19: ((nat > $o) > nat > nat)).
% 0.55/0.42 thf(func_def_90, type, sK20: ((nat > $o) > nat > nat)).
% 0.55/0.42 thf(func_def_91, type, sK21: ((nat > $o) > nat)).
% 0.55/0.42 thf(func_def_92, type, sK22: (int > nat)).
% 0.55/0.42 thf(func_def_93, type, sK23: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X1 > $o) > X0))).
% 0.55/0.42 thf(func_def_94, type, sK24: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.55/0.42 thf(func_def_95, type, sK25: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.55/0.42 thf(func_def_96, type, sK26: !>[X0: $tType]:((X0 > nat))).
% 0.55/0.42 thf(func_def_97, type, sK27: !>[X0: $tType]:((X0 > nat))).
% 0.55/0.42 thf(func_def_98, type, sK28: (int > nat)).
% 0.55/0.42 thf(func_def_99, type, sK29: (int > nat)).
% 0.55/0.42 thf(func_def_100, type, sK30: ((real > $o) > real)).
% 0.55/0.42 thf(func_def_101, type, sK31: ((real > $o) > real)).
% 0.55/0.42 thf(func_def_102, type, sK32: ((real > $o) > nat)).
% 0.55/0.42 thf(func_def_103, type, sK33: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X1 > X0) > X1))).
% 0.55/0.42 thf(func_def_104, type, sK34: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 0.55/0.42 thf(func_def_105, type, sK35: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 0.55/0.42 thf(func_def_106, type, sK36: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 0.55/0.42 thf(func_def_107, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > (X0 > X1) > X1))).
% 0.55/0.42 thf(func_def_108, type, sK38: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.55/0.42 thf(func_def_109, type, sK39: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > X0))).
% 0.55/0.42 thf(func_def_110, type, sK40: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > (X0 > X1) > X0))).
% 0.55/0.42 thf(func_def_111, type, sK41: (int > nat)).
% 0.55/0.42 thf(func_def_112, type, sK42: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > X0 > X1))).
% 0.55/0.42 thf(func_def_113, type, sK43: !>[X0: $tType]:((nat > list @ X0))).
% 0.55/0.42 thf(func_def_114, type, sK44: !>[X0: $tType]:((X0 > X0))).
% 0.55/0.42 thf(func_def_115, type, sK45: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.55/0.42 thf(func_def_116, type, sK46: ((nat > $o) > nat > nat)).
% 0.55/0.42 thf(func_def_117, type, sK47: ((nat > $o) > nat > nat)).
% 0.55/0.42 thf(func_def_118, type, sK48: ((nat > $o) > nat)).
% 0.55/0.42 thf(func_def_119, type, sK49: (real > nat)).
% 0.55/0.42 thf(func_def_120, type, sK50: (int > nat)).
% 0.55/0.42 thf(func_def_121, type, sK51: (int > nat)).
% 0.55/0.42 thf(func_def_122, type, sK52: (int > nat)).
% 0.55/0.42 thf(func_def_123, type, sK53: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 0.55/0.42 thf(func_def_124, type, sK54: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 0.55/0.42 thf(func_def_125, type, sK55: ((int > int > $o) > int)).
% 0.55/0.42 thf(func_def_126, type, sK56: ((int > int > $o) > int)).
% 0.55/0.42 thf(func_def_127, type, vNOT: ($o > $o)).
% 0.55/0.42 thf(f1,axiom,(
% 0.55/0.42 (inj_on @ nat @ nat @ f @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))),
% 0.55/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__C1_C)).
% 0.55/0.42 thf(f4,axiom,(
% 0.55/0.42 (((image @ nat @ nat @ f @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))) = ((set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))),
% 0.55/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__C2_C)).
% 0.55/0.42 thf(f63,axiom,(
% 0.55/0.42 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X0),X3 : set @ X1] : ((inj_on @ X1 @ X0 @ X2 @ X3) => (((image_mset @ X1 @ X0 @ X2 @ (mset_set @ X1 @ X3))) = ((mset_set @ X0 @ (image @ X1 @ X0 @ X2 @ X3)))))),
% 0.55/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_image__mset__mset__set)).
% 0.55/0.42 thf(f330,conjecture,(
% 0.55/0.42 (((image_mset @ nat @ a @ (nth @ a @ ys) @ (image_mset @ nat @ nat @ f @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))))) = ((image_mset @ nat @ a @ (nth @ a @ ys) @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))))),
% 0.55/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.55/0.42 thf(f331,negated_conjecture,(
% 0.55/0.42 ~ (((image_mset @ nat @ a @ (nth @ a @ ys) @ (image_mset @ nat @ nat @ f @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))))) = ((image_mset @ nat @ a @ (nth @ a @ ys) @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))))),
% 0.55/0.42 inference(negated_conjecture,[status(cth)],[f330])).
% 0.55/0.42 thf(f591,plain,(
% 0.55/0.42 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X0),X3 : set @ X1] : ((inj_on @ X1 @ X0 @ X2 @ X3) => (((image_mset @ X1 @ X0 @ X2 @ (mset_set @ X1 @ X3))) = ((mset_set @ X0 @ (image @ X1 @ X0 @ X2 @ X3)))))),
% 0.55/0.42 inference(rectify,[],[f63])).
% 0.55/0.42 thf(f592,plain,(
% 0.55/0.42 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X0),X3 : set @ X1] : ((((inj_on @ X1 @ X0 @ X2 @ X3)) = $true) => (((image_mset @ X1 @ X0 @ X2 @ (mset_set @ X1 @ X3))) = ((mset_set @ X0 @ (image @ X1 @ X0 @ X2 @ X3)))))),
% 0.55/0.42 inference(fool_elimination,[],[f591])).
% 0.55/0.42 thf(f736,plain,(
% 0.55/0.42 (inj_on @ nat @ nat @ f @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))),
% 0.55/0.42 inference(rectify,[],[f1])).
% 0.55/0.42 thf(f737,plain,(
% 0.55/0.42 (((inj_on @ nat @ nat @ f @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))) = $true)),
% 0.55/0.42 inference(fool_elimination,[],[f736])).
% 0.55/0.42 thf(f908,plain,(
% 0.55/0.42 (((image_mset @ nat @ a @ (nth @ a @ ys) @ (image_mset @ nat @ nat @ f @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))))) != ((image_mset @ nat @ a @ (nth @ a @ ys) @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))))),
% 0.55/0.42 inference(flattening,[],[f331])).
% 0.55/0.42 thf(f983,plain,(
% 0.55/0.42 ! [X0 : $tType,X1 : $tType,X3 : set @ X1,X2 : (X1 > X0)] : ((((image_mset @ X1 @ X0 @ X2 @ (mset_set @ X1 @ X3))) = ((mset_set @ X0 @ (image @ X1 @ X0 @ X2 @ X3)))) | (((inj_on @ X1 @ X0 @ X2 @ X3)) != $true))),
% 0.55/0.42 inference(ennf_transformation,[],[f592])).
% 0.55/0.42 thf(f1221,plain,(
% 0.55/0.42 ! [X0 : $tType,X1 : $tType,X2 : set @ X1,X3 : (X1 > X0)] : ((((mset_set @ X0 @ (image @ X1 @ X0 @ X3 @ X2))) = ((image_mset @ X1 @ X0 @ X3 @ (mset_set @ X1 @ X2)))) | (((inj_on @ X1 @ X0 @ X3 @ X2)) != $true))),
% 0.55/0.42 inference(rectify,[],[f983])).
% 0.55/0.42 thf(f1497,plain,(
% 0.55/0.42 ( ! [X1 : $tType,X0 : $tType,X2 : set @ X1,X3 : (X1 > X0)] : ((((mset_set @ X0 @ (image @ X1 @ X0 @ X3 @ X2))) = ((image_mset @ X1 @ X0 @ X3 @ (mset_set @ X1 @ X2)))) | (((inj_on @ X1 @ X0 @ X3 @ X2)) != $true)) )),
% 0.55/0.42 inference(cnf_transformation,[],[f1221])).
% 0.55/0.42 thf(f1503,plain,(
% 0.55/0.42 (((inj_on @ nat @ nat @ f @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))) = $true)),
% 0.55/0.42 inference(cnf_transformation,[],[f737])).
% 0.55/0.42 thf(f1569,plain,(
% 0.55/0.42 (((image_mset @ nat @ a @ (nth @ a @ ys) @ (image_mset @ nat @ nat @ f @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))))) != ((image_mset @ nat @ a @ (nth @ a @ ys) @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))))),
% 0.55/0.42 inference(cnf_transformation,[],[f908])).
% 0.55/0.42 thf(f1747,plain,(
% 0.55/0.42 (((image @ nat @ nat @ f @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))) = ((set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))),
% 0.55/0.42 inference(cnf_transformation,[],[f4])).
% 0.55/0.42 thf(f2112,definition,(
% 0.55/0.42 spl57_28 <=> (((inj_on @ nat @ nat @ f @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))) = $true)),
% 0.55/0.42 introduced(definition,[new_symbols(definition,[spl57_28])],[avatar_definition])).
% 0.55/0.42 thf(f2114,plain,(
% 0.55/0.42 (((inj_on @ nat @ nat @ f @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))) = $true) | ~spl57_28),
% 0.55/0.42 inference(avatar_component_clause,[],[f2112])).
% 0.55/0.42 thf(f2115,plain,(
% 0.55/0.42 spl57_28),
% 0.55/0.42 inference(avatar_split_clause,[],[f1503,f2112])).
% 0.55/0.42 thf(f2222,definition,(
% 0.55/0.42 spl57_50 <=> (((image_mset @ nat @ a @ (nth @ a @ ys) @ (image_mset @ nat @ nat @ f @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))))) = ((image_mset @ nat @ a @ (nth @ a @ ys) @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))))),
% 0.55/0.42 introduced(definition,[new_symbols(definition,[spl57_50])],[avatar_definition])).
% 0.55/0.42 thf(f2225,plain,(
% 0.55/0.42 ~spl57_50),
% 0.55/0.42 inference(avatar_split_clause,[],[f1569,f2222])).
% 0.55/0.42 thf(f2267,definition,(
% 0.55/0.42 spl57_59 <=> (((image @ nat @ nat @ f @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))) = ((set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))),
% 0.55/0.42 introduced(definition,[new_symbols(definition,[spl57_59])],[avatar_definition])).
% 0.55/0.42 thf(f2269,plain,(
% 0.55/0.42 (((image @ nat @ nat @ f @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))) = ((set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys)))) | ~spl57_59),
% 0.55/0.42 inference(avatar_component_clause,[],[f2267])).
% 0.55/0.42 thf(f2270,plain,(
% 0.55/0.42 spl57_59),
% 0.55/0.42 inference(avatar_split_clause,[],[f1747,f2267])).
% 0.55/0.42 thf(f2426,plain,(
% 0.55/0.42 (((image_mset @ nat @ nat @ f @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs))))) = ((mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))) | (((inj_on @ nat @ nat @ f @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))) != $true) | ~spl57_59),
% 0.55/0.42 inference(superposition,[],[f1497,f2269])).
% 0.55/0.42 thf(f2431,plain,(
% 0.55/0.42 (((image_mset @ nat @ nat @ f @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs))))) = ((mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))) | (~spl57_28 | ~spl57_59)),
% 0.55/0.42 inference(forward_subsumption_resolution,[],[f2426,f2114])).
% 0.55/0.42 thf(f2433,definition,(
% 0.55/0.42 spl57_71 <=> (((image_mset @ nat @ nat @ f @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs))))) = ((mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys)))))),
% 0.55/0.42 introduced(definition,[new_symbols(definition,[spl57_71])],[avatar_definition])).
% 0.55/0.42 thf(f2436,plain,(
% 0.55/0.42 spl57_71 | ~spl57_28 | ~spl57_59),
% 0.55/0.42 inference(avatar_split_clause,[],[f2431,f2267,f2112,f2433])).
% 0.55/0.42 thf(f2437,definition,(
% 0.55/0.42 (((image_mset @ nat @ nat @ f @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs))))) != ((mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))) | (((image_mset @ nat @ a @ (nth @ a @ ys) @ (image_mset @ nat @ nat @ f @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ xs)))))) = ((image_mset @ nat @ a @ (nth @ a @ ys) @ (mset_set @ nat @ (set_or1433837966ssThan @ nat @ zero_zero @ nat @ (size_size @ list @ a @ ys))))))),
% 0.55/0.42 introduced(theory,[theory_tautology_sat_conflict])).
% 0.55/0.42 cnf(s28, plain, spl57_28, inference(sat_conversion,[],[f2115])).
% 0.55/0.42 cnf(s50, plain, ~spl57_50, inference(sat_conversion,[],[f2225])).
% 0.55/0.42 cnf(s59, plain, spl57_59, inference(sat_conversion,[],[f2270])).
% 0.55/0.42 cnf(s74, plain, ~spl57_28 | ~spl57_59 | spl57_71, inference(sat_conversion,[],[f2436])).
% 0.55/0.42 cnf(s75, plain, spl57_50 | ~spl57_71, inference(sat_conversion,[],[f2437])).
% 0.55/0.42 cnf(s79, plain, ~spl57_71, inference(rat,[],[s75,s50])).
% 0.55/0.42 cnf(s80, plain, ~spl57_28, inference(rat,[],[s74,s59,s79])).
% 0.55/0.42 cnf(s81, plain, $false, inference(rat,[],[s28,s80])).
% 0.55/0.42 thf(f2438,plain,(
% 0.55/0.42 $false),
% 0.55/0.42 inference(avatar_sat_refutation,[],[s81])).
% 0.55/0.42 % SZS output end Proof for theBenchmark
% 0.55/0.42 % (1260537)------------------------------
% 0.55/0.42 % (1260537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.42 % (1260537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.42 % (1260537)CaDiCaL version: 2.1.3
% 0.55/0.42 % (1260537)Termination reason: Refutation
% 0.55/0.42 % (1260537)Time elapsed: 0.072 s
% 0.55/0.42 % (1260537)Peak memory usage: 15 MB
% 0.55/0.42 % (1260537)Instructions burned: 132 (million)
% 0.55/0.42 % (1260529)Success in time 0.125 s
% 0.55/0.42 % Vampire exiting
%------------------------------------------------------------------------------