%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR044-10 : 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 : n007.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 09:42:14 AM UTC 2026
% Result : Unsatisfiable 3.52s 1.42s
% Output : Refutation 4.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-4 aty)
% Number of variables : 32 ( 32 !; 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(f40,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_19) ).
fof(f41,plain,
true = executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(reorient_equations,[],[f40]) ).
fof(f286,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_142) ).
fof(f287,plain,
true = genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(reorient_equations,[],[f286]) ).
fof(f4972,axiom,
! [X0] : ifeq4(executionbyfiringsquad(X0),true,ifeq4(mtvisible(c_cyclistsmt),true,tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2495) ).
fof(f4973,plain,
! [X0] : true = ifeq4(executionbyfiringsquad(X0),true,ifeq4(mtvisible(c_cyclistsmt),true,tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),true),true),
inference(reorient_equations,[],[f4972]) ).
fof(f4974,axiom,
ifeq4(mtvisible(c_cyclistsmt),true,relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2496) ).
fof(f4975,plain,
true = ifeq4(mtvisible(c_cyclistsmt),true,relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),true),
inference(reorient_equations,[],[f4974]) ).
fof(f5940,axiom,
! [X2,X3,X0,X1] : ifeq4(relationallexists(X0,X1,X2),true,ifeq4(isa(X3,X1),true,isa(f_relationallexistsfn(X3,X0,X1,X2),X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2981) ).
fof(f5941,plain,
! [X2,X3,X0,X1] : true = ifeq4(relationallexists(X0,X1,X2),true,ifeq4(isa(X3,X1),true,isa(f_relationallexistsfn(X3,X0,X1,X2),X2),true),true),
inference(reorient_equations,[],[f5940]) ).
fof(f8546,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_4288) ).
fof(f8547,plain,
true = genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(reorient_equations,[],[f8546]) ).
fof(f11362,axiom,
! [X0] : ifeq4(isa(X0,c_tptpcol_16_29490),true,tptpcol_16_29490(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_5730) ).
fof(f11363,plain,
! [X0] : true = ifeq4(isa(X0,c_tptpcol_16_29490),true,tptpcol_16_29490(X0),true),
inference(reorient_equations,[],[f11362]) ).
fof(f15698,axiom,
! [X0] : ifeq4(executionbyfiringsquad(X0),true,isa(X0,c_executionbyfiringsquad),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7920) ).
fof(f15699,plain,
! [X0] : true = ifeq4(executionbyfiringsquad(X0),true,isa(X0,c_executionbyfiringsquad),true),
inference(reorient_equations,[],[f15698]) ).
fof(f15848,axiom,
! [X0,X1] : ifeq4(genlmt(X0,X1),true,ifeq4(mtvisible(X0),true,mtvisible(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7997) ).
fof(f15849,plain,
! [X0,X1] : true = ifeq4(genlmt(X0,X1),true,ifeq4(mtvisible(X0),true,mtvisible(X1),true),true),
inference(reorient_equations,[],[f15848]) ).
fof(f15866,negated_conjecture,
mtvisible(c_tptp_member3633_mt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query144) ).
fof(f15867,plain,
true = mtvisible(c_tptp_member3633_mt),
inference(reorient_equations,[],[f15866]) ).
fof(f16016,negated_conjecture,
! [X0] : ifeq2(tuple2(tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0),tptpcol_16_29490(X0)),tuple2(true,true),a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query144_1) ).
fof(f16017,plain,
! [X0] : b = ifeq2(tuple2(tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0),tptpcol_16_29490(X0)),tuple2(true,true),a,b),
inference(reorient_equations,[],[f16016]) ).
fof(f16018,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f16037,plain,
true = ifeq4(true,true,isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),true),
inference(superposition,[],[f15699,f41]) ).
fof(f16038,plain,
true = isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
inference(forward_demodulation,[],[f16037,f1]) ).
fof(f16388,plain,
true = ifeq4(true,true,ifeq4(mtvisible(c_tptp_member3633_mt),true,mtvisible(c_tptp_spindleheadmt),true),true),
inference(superposition,[],[f15849,f287]) ).
fof(f16397,plain,
true = ifeq4(mtvisible(c_tptp_member3633_mt),true,mtvisible(c_tptp_spindleheadmt),true),
inference(forward_demodulation,[],[f16388,f1]) ).
fof(f16404,plain,
true = ifeq4(true,true,mtvisible(c_tptp_spindleheadmt),true),
inference(forward_demodulation,[],[f16397,f15867]) ).
fof(f16409,plain,
true = mtvisible(c_tptp_spindleheadmt),
inference(forward_demodulation,[],[f16404,f1]) ).
fof(f16412,plain,
! [X0] : true = ifeq4(genlmt(c_tptp_spindleheadmt,X0),true,ifeq4(true,true,mtvisible(X0),true),true),
inference(superposition,[],[f15849,f16409]) ).
fof(f16413,plain,
! [X0] : true = ifeq4(genlmt(c_tptp_spindleheadmt,X0),true,mtvisible(X0),true),
inference(forward_demodulation,[],[f16412,f1]) ).
fof(f16494,plain,
true = ifeq4(true,true,mtvisible(c_cyclistsmt),true),
inference(superposition,[],[f16413,f8547]) ).
fof(f16499,plain,
true = mtvisible(c_cyclistsmt),
inference(forward_demodulation,[],[f16494,f1]) ).
fof(f16504,plain,
true = ifeq4(true,true,relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),true),
inference(superposition,[],[f4975,f16499]) ).
fof(f16515,plain,
true = relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
inference(forward_demodulation,[],[f16504,f1]) ).
fof(f17238,plain,
! [X0] : true = ifeq4(executionbyfiringsquad(X0),true,ifeq4(true,true,tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),true),true),
inference(forward_demodulation,[],[f4973,f16499]) ).
fof(f17239,plain,
! [X0] : true = ifeq4(executionbyfiringsquad(X0),true,tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),true),
inference(forward_demodulation,[],[f17238,f1]) ).
fof(f17264,plain,
true = ifeq4(true,true,tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),true),
inference(superposition,[],[f17239,f41]) ).
fof(f17265,plain,
true = tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(forward_demodulation,[],[f17264,f1]) ).
fof(f17620,plain,
! [X0] : true = ifeq4(true,true,ifeq4(isa(X0,c_executionbyfiringsquad),true,isa(f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),true),true),
inference(superposition,[],[f5941,f16515]) ).
fof(f17683,plain,
! [X0] : true = ifeq4(isa(X0,c_executionbyfiringsquad),true,isa(f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),true),
inference(forward_demodulation,[],[f17620,f1]) ).
fof(f17912,plain,
true = ifeq4(true,true,isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),true),
inference(superposition,[],[f17683,f16038]) ).
fof(f17914,plain,
true = isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),
inference(forward_demodulation,[],[f17912,f1]) ).
fof(f17925,plain,
true = ifeq4(true,true,tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),true),
inference(superposition,[],[f11363,f17914]) ).
fof(f17936,plain,
true = tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
inference(forward_demodulation,[],[f17925,f1]) ).
fof(f17940,plain,
b = ifeq2(tuple2(tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),true),tuple2(true,true),a,b),
inference(superposition,[],[f16017,f17936]) ).
fof(f17941,plain,
b = ifeq2(tuple2(true,true),tuple2(true,true),a,b),
inference(forward_demodulation,[],[f17940,f17265]) ).
fof(f17943,plain,
a = b,
inference(forward_demodulation,[],[f17941,f3]) ).
fof(f17944,plain,
$false,
inference(forward_subsumption_resolution,[],[f17943,f16018]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR044-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n007.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:13:55 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 3.52/1.42 % (2914194)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.52/1.42 % (2914336)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=506329029:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2997 on theBenchmark for (2997ds/181Mi)
% 3.52/1.42 % (2914328)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=1918275876:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/138329Mi)
% 3.52/1.42 % (2914334)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=425639340:i=136:bd=preordered:ins=2:av=off_2997 on theBenchmark for (2997ds/136Mi)
% 3.52/1.42 % (2914330)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=3439943342:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/130792Mi)
% 3.52/1.42 % (2914332)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4042941091:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2997 on theBenchmark for (2997ds/130716Mi)
% 3.52/1.42 % (2914338)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1717203545:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2997 on theBenchmark for (2997ds/257Mi)
% 3.52/1.42 % (2914336)Instruction limit reached!
% 3.52/1.42 % (2914336)------------------------------
% 3.52/1.42 % (2914336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.42 % (2914336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.42 % (2914336)CaDiCaL version: 2.1.3
% 3.52/1.42 % (2914336)Termination reason: Instruction limit
% 3.52/1.42 % (2914336)Termination phase: Twee Goal Transformation
% 3.52/1.42 % (2914336)Time elapsed: 0.049 s
% 3.52/1.42 % (2914336)Peak memory usage: 95 MB
% 3.52/1.42 % (2914336)Instructions burned: 184 (million)
% 3.52/1.42 % (2914341)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3803907191:i=1187:sd=4:av=off:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/1187Mi)
% 3.52/1.42 % (2914334)Instruction limit reached!
% 3.52/1.42 % (2914334)------------------------------
% 3.52/1.42 % (2914334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.42 % (2914334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.42 % (2914334)CaDiCaL version: 2.1.3
% 3.52/1.42 % (2914334)Termination reason: Instruction limit
% 3.52/1.42 % (2914334)Termination phase: Saturation
% 3.52/1.42 % (2914334)Time elapsed: 0.071 s
% 3.52/1.42 % (2914334)Peak memory usage: 95 MB
% 3.52/1.42 % (2914334)Instructions burned: 138 (million)
% 3.52/1.42 % (2914341)First to succeed.
% 3.52/1.42 % (2914341)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2914194"
% 3.52/1.42 % (2914364)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2203422618:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 3.52/1.42 % (2914338)Instruction limit reached!
% 3.52/1.42 % (2914338)------------------------------
% 3.52/1.42 % (2914338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.42 % (2914338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.42 % (2914338)CaDiCaL version: 2.1.3
% 3.52/1.42 % (2914338)Termination reason: Instruction limit
% 3.52/1.42 % (2914338)Termination phase: Saturation
% 3.52/1.42 % (2914338)Time elapsed: 0.153 s
% 3.52/1.42 % (2914338)Peak memory usage: 100 MB
% 3.52/1.42 % (2914338)Instructions burned: 259 (million)
% 3.52/1.42 % (2914366)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1048384230:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 3.52/1.42 % (2914368)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=790710110:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 3.52/1.42 % (2914341)Refutation found. Thanks to Tanya!
% 3.52/1.42 % SZS status Unsatisfiable for theBenchmark
% 3.52/1.42 % SZS output start Proof for theBenchmark
% See solution above
% 4.72/1.62 % (2914341)------------------------------
% 4.72/1.62 % (2914341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.62 % (2914341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.62 % (2914341)CaDiCaL version: 2.1.3
% 4.72/1.62 % (2914341)Termination reason: Refutation
% 4.72/1.62 % (2914341)Time elapsed: 0.098 s
% 4.72/1.62 % (2914341)Peak memory usage: 95 MB
% 4.72/1.62 % (2914341)Instructions burned: 165 (million)
% 4.72/1.62 % (2914341)------------------------------
% 4.72/1.62 % (2914341)------------------------------
% 4.72/1.62 % (2914194)Success in time 0.751 s
% 4.72/1.62 % Vampire exiting
%------------------------------------------------------------------------------