%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR055-10 : 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 : n026.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 : Tue Sep 29 09:42:23 AM UTC 2026
% Result : Unsatisfiable 6.85s 2.89s
% Output : Refutation 6.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq4(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_002) ).
fof(f15806,axiom,
individual(c_xskijump_thegame) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_7910) ).
fof(f15807,plain,
true = individual(c_xskijump_thegame),
inference(reorient_equations,[],[f15806]) ).
fof(f82490,axiom,
! [X0,X1] : ifeq4(disjointwith(X0,X1),true,collection(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_41385) ).
fof(f82491,plain,
! [X0,X1] : true = ifeq4(disjointwith(X0,X1),true,collection(X0),true),
inference(reorient_equations,[],[f82490]) ).
fof(f88066,negated_conjecture,
disjointwith(c_xskijump_thegame,c_tptpcol_16_35301) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query205) ).
fof(f88067,plain,
true = disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
inference(reorient_equations,[],[f88066]) ).
fof(f88070,axiom,
! [X0] : ifeq2(tuple2(individual(X0),collection(X0)),tuple2(true,true),a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_4028) ).
fof(f88071,plain,
! [X0] : b = ifeq2(tuple2(individual(X0),collection(X0)),tuple2(true,true),a,b),
inference(reorient_equations,[],[f88070]) ).
fof(f88432,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f88934,plain,
true = ifeq4(true,true,collection(c_xskijump_thegame),true),
inference(superposition,[],[f82491,f88067]) ).
fof(f89004,plain,
true = collection(c_xskijump_thegame),
inference(forward_demodulation,[],[f88934,f1]) ).
fof(f93618,plain,
b = ifeq2(tuple2(individual(c_xskijump_thegame),true),tuple2(true,true),a,b),
inference(superposition,[],[f88071,f89004]) ).
fof(f93643,plain,
b = ifeq2(tuple2(true,true),tuple2(true,true),a,b),
inference(forward_demodulation,[],[f93618,f15807]) ).
fof(f93645,plain,
a = b,
inference(forward_demodulation,[],[f93643,f3]) ).
fof(f93647,plain,
$false,
inference(forward_subsumption_resolution,[],[f93645,f88432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR055-10 : 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 : n026.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 : Mon Sep 28 22:21:57 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.85/2.89 % (156063)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.85/2.89 % (156069)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=4244900833:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2987 on theBenchmark for (2987ds/138329Mi)
% 6.85/2.89 % (156075)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3264114449:i=1187:sd=4:av=off:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/1187Mi)
% 6.85/2.89 % (156070)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1584927268:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2987 on theBenchmark for (2987ds/130792Mi)
% 6.85/2.89 % (156071)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4218587756:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2987 on theBenchmark for (2987ds/130716Mi)
% 6.85/2.89 % (156072)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2239283543:i=136:bd=preordered:ins=2:av=off_2987 on theBenchmark for (2987ds/136Mi)
% 6.85/2.89 % (156073)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2906654499:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2987 on theBenchmark for (2987ds/181Mi)
% 6.85/2.89 % (156074)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3658142327:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2987 on theBenchmark for (2987ds/257Mi)
% 6.85/2.89 % (156072)Instruction limit reached!
% 6.85/2.89 % (156072)------------------------------
% 6.85/2.89 % (156072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.85/2.89 % (156072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/2.89 % (156072)CaDiCaL version: 2.1.3
% 6.85/2.89 % (156072)Termination reason: Instruction limit
% 6.85/2.89 % (156072)Termination phase: Property scanning
% 6.85/2.89 % (156072)Time elapsed: 0.091 s
% 6.85/2.89 % (156072)Peak memory usage: 118 MB
% 6.85/2.89 % (156072)Instructions burned: 138 (million)
% 6.85/2.89 % (156073)Instruction limit reached!
% 6.85/2.89 % (156073)------------------------------
% 6.85/2.89 % (156073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.85/2.89 % (156073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/2.89 % (156073)CaDiCaL version: 2.1.3
% 6.85/2.89 % (156073)Termination reason: Instruction limit
% 6.85/2.89 % (156073)Termination phase: Property scanning
% 6.85/2.89 % (156073)Time elapsed: 0.087 s
% 6.85/2.89 % (156073)Peak memory usage: 115 MB
% 6.85/2.89 % (156073)Instructions burned: 183 (million)
% 6.85/2.89 % (156074)Instruction limit reached!
% 6.85/2.89 % (156074)------------------------------
% 6.85/2.89 % (156074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.85/2.89 % (156074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/2.89 % (156074)CaDiCaL version: 2.1.3
% 6.85/2.89 % (156074)Termination reason: Instruction limit
% 6.85/2.89 % (156074)Termination phase: Saturation
% 6.85/2.89 % (156074)Time elapsed: 0.148 s
% 6.85/2.89 % (156074)Peak memory usage: 122 MB
% 6.85/2.89 % (156074)Instructions burned: 257 (million)
% 6.85/2.89 % (156083)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3152176051:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2985 on theBenchmark for (2985ds/2051Mi)
% 6.85/2.89 % (156084)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1964342365:i=4948:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/4948Mi)
% 6.85/2.89 % (156075)First to succeed.
% 6.85/2.89 % (156075)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-156063"
% 6.85/2.89 % (156086)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3373068097:i=215:ep=RSTC_2983 on theBenchmark for (2983ds/215Mi)
% 6.85/2.89 % (156086)Instruction limit reached!
% 6.85/2.89 % (156086)------------------------------
% 6.85/2.89 % (156086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.85/2.89 % (156086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/2.89 % (156086)CaDiCaL version: 2.1.3
% 6.85/2.89 % (156086)Termination reason: Instruction limit
% 6.85/2.89 % (156086)Termination phase: Property scanning
% 6.85/2.89 % (156086)Time elapsed: 0.124 s
% 6.85/2.89 % (156086)Peak memory usage: 117 MB
% 6.85/2.89 % (156086)Instructions burned: 216 (million)
% 6.85/2.89 % (156075)Refutation found. Thanks to Tanya!
% 6.85/2.89 % SZS status Unsatisfiable for theBenchmark
% 6.85/2.89 % SZS output start Proof for theBenchmark
% See solution above
% 6.85/2.89 % (156075)------------------------------
% 6.85/2.89 % (156075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.85/2.89 % (156075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/2.89 % (156075)CaDiCaL version: 2.1.3
% 6.85/2.89 % (156075)Termination reason: Refutation
% 6.85/2.89 % (156075)Time elapsed: 0.288 s
% 6.85/2.89 % (156075)Peak memory usage: 124 MB
% 6.85/2.89 % (156075)Instructions burned: 494 (million)
% 6.85/2.89 % (156075)------------------------------
% 6.85/2.89 % (156075)------------------------------
% 6.85/2.89 % (156063)Success in time 1.964 s
% 6.85/2.89 % Vampire exiting
%------------------------------------------------------------------------------