%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR065-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:42:31 AM UTC 2026
% Result : Unsatisfiable 7.48s 2.94s
% Output : Refutation 7.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq4(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f174,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_86) ).
fof(f175,plain,
true = genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(reorient_equations,[],[f174]) ).
fof(f1098,axiom,
! [X0] : ifeq4(ridgeline_topographical(X0),true,ifeq4(mtvisible(c_tptp_member235_mt),true,tptpofobject(X0,f_tptpquantityfn_13(n_468)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_548) ).
fof(f1099,plain,
! [X0] : true = ifeq4(ridgeline_topographical(X0),true,ifeq4(mtvisible(c_tptp_member235_mt),true,tptpofobject(X0,f_tptpquantityfn_13(n_468)),true),true),
inference(reorient_equations,[],[f1098]) ).
fof(f13310,axiom,
ifeq4(mtvisible(c_cyclistsmt),true,ridgeline_topographical(c_tptpridgeline_topographical),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_6660) ).
fof(f13311,plain,
true = ifeq4(mtvisible(c_cyclistsmt),true,ridgeline_topographical(c_tptpridgeline_topographical),true),
inference(reorient_equations,[],[f13310]) ).
fof(f25456,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3711_mt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_12737) ).
fof(f25457,plain,
true = genlmt(c_tptp_spindlecollectormt,c_tptp_member3711_mt),
inference(reorient_equations,[],[f25456]) ).
fof(f30782,axiom,
genlmt(c_tptp_member3711_mt,c_tptp_spindleheadmt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_15402) ).
fof(f30783,plain,
true = genlmt(c_tptp_member3711_mt,c_tptp_spindleheadmt),
inference(reorient_equations,[],[f30782]) ).
fof(f47008,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_23519) ).
fof(f47009,plain,
true = genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(reorient_equations,[],[f47008]) ).
fof(f88048,axiom,
! [X0,X1] : ifeq4(genlmt(X0,X1),true,ifeq4(mtvisible(X0),true,mtvisible(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_44208) ).
fof(f88049,plain,
! [X0,X1] : true = ifeq4(genlmt(X0,X1),true,ifeq4(mtvisible(X0),true,mtvisible(X1),true),true),
inference(reorient_equations,[],[f88048]) ).
fof(f88066,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query215) ).
fof(f88067,plain,
true = mtvisible(c_tptp_spindlecollectormt),
inference(reorient_equations,[],[f88066]) ).
fof(f88432,negated_conjecture,
ifeq3(tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),true,a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query215_1) ).
fof(f88433,plain,
b = ifeq3(tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),true,a,b),
inference(reorient_equations,[],[f88432]) ).
fof(f88434,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f89750,plain,
true = ifeq4(true,true,ifeq4(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member235_mt),true),true),
inference(superposition,[],[f88049,f47009]) ).
fof(f89754,plain,
true = ifeq4(true,true,ifeq4(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member3711_mt),true),true),
inference(superposition,[],[f88049,f25457]) ).
fof(f89899,plain,
true = ifeq4(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member3711_mt),true),
inference(forward_demodulation,[],[f89754,f1]) ).
fof(f89903,plain,
true = ifeq4(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member235_mt),true),
inference(forward_demodulation,[],[f89750,f1]) ).
fof(f89977,plain,
true = ifeq4(true,true,mtvisible(c_tptp_member3711_mt),true),
inference(forward_demodulation,[],[f89899,f88067]) ).
fof(f89981,plain,
true = ifeq4(true,true,mtvisible(c_tptp_member235_mt),true),
inference(forward_demodulation,[],[f89903,f88067]) ).
fof(f89988,plain,
true = mtvisible(c_tptp_member3711_mt),
inference(forward_demodulation,[],[f89977,f1]) ).
fof(f89992,plain,
true = mtvisible(c_tptp_member235_mt),
inference(forward_demodulation,[],[f89981,f1]) ).
fof(f89996,plain,
! [X0] : true = ifeq4(genlmt(c_tptp_member3711_mt,X0),true,ifeq4(true,true,mtvisible(X0),true),true),
inference(superposition,[],[f88049,f89988]) ).
fof(f89997,plain,
! [X0] : true = ifeq4(genlmt(c_tptp_member3711_mt,X0),true,mtvisible(X0),true),
inference(forward_demodulation,[],[f89996,f1]) ).
fof(f90019,plain,
! [X0] : true = ifeq4(ridgeline_topographical(X0),true,ifeq4(true,true,tptpofobject(X0,f_tptpquantityfn_13(n_468)),true),true),
inference(forward_demodulation,[],[f1099,f89992]) ).
fof(f90020,plain,
! [X0] : true = ifeq4(ridgeline_topographical(X0),true,tptpofobject(X0,f_tptpquantityfn_13(n_468)),true),
inference(forward_demodulation,[],[f90019,f1]) ).
fof(f90142,plain,
true = ifeq4(true,true,mtvisible(c_tptp_spindleheadmt),true),
inference(superposition,[],[f89997,f30783]) ).
fof(f90151,plain,
true = mtvisible(c_tptp_spindleheadmt),
inference(forward_demodulation,[],[f90142,f1]) ).
fof(f90168,plain,
! [X0] : true = ifeq4(genlmt(c_tptp_spindleheadmt,X0),true,ifeq4(true,true,mtvisible(X0),true),true),
inference(superposition,[],[f88049,f90151]) ).
fof(f90169,plain,
! [X0] : true = ifeq4(genlmt(c_tptp_spindleheadmt,X0),true,mtvisible(X0),true),
inference(forward_demodulation,[],[f90168,f1]) ).
fof(f90410,plain,
true = ifeq4(true,true,mtvisible(c_cyclistsmt),true),
inference(superposition,[],[f90169,f175]) ).
fof(f90422,plain,
true = mtvisible(c_cyclistsmt),
inference(forward_demodulation,[],[f90410,f1]) ).
fof(f90431,plain,
true = ifeq4(true,true,ridgeline_topographical(c_tptpridgeline_topographical),true),
inference(superposition,[],[f13311,f90422]) ).
fof(f90481,plain,
true = ridgeline_topographical(c_tptpridgeline_topographical),
inference(forward_demodulation,[],[f90431,f1]) ).
fof(f90492,plain,
true = ifeq4(true,true,tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),true),
inference(superposition,[],[f90020,f90481]) ).
fof(f90496,plain,
true = tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(forward_demodulation,[],[f90492,f1]) ).
fof(f90518,plain,
b = ifeq3(true,true,a,b),
inference(superposition,[],[f88433,f90496]) ).
fof(f90526,plain,
a = b,
inference(forward_demodulation,[],[f90518,f2]) ).
fof(f90527,plain,
$false,
inference(forward_subsumption_resolution,[],[f90526,f88434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR065-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:22:47 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 7.48/2.94 % (1252539)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.48/2.94 % (1252548)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3993717855:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2987 on theBenchmark for (2987ds/181Mi)
% 7.48/2.94 % (1252546)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2136592275:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2987 on theBenchmark for (2987ds/130716Mi)
% 7.48/2.94 % (1252545)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=256953791:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2987 on theBenchmark for (2987ds/130792Mi)
% 7.48/2.94 % (1252549)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3168153033:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2987 on theBenchmark for (2987ds/257Mi)
% 7.48/2.94 % (1252550)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=860111511:i=1187:sd=4:av=off:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/1187Mi)
% 7.48/2.94 % (1252547)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3921698538:i=136:bd=preordered:ins=2:av=off_2987 on theBenchmark for (2987ds/136Mi)
% 7.48/2.94 % (1252544)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=1072001789:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2987 on theBenchmark for (2987ds/138329Mi)
% 7.48/2.94 % (1252548)Instruction limit reached!
% 7.48/2.94 % (1252548)------------------------------
% 7.48/2.94 % (1252548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.94 % (1252548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.94 % (1252548)CaDiCaL version: 2.1.3
% 7.48/2.94 % (1252548)Termination reason: Instruction limit
% 7.48/2.94 % (1252548)Termination phase: Property scanning
% 7.48/2.94 % (1252548)Time elapsed: 0.051 s
% 7.48/2.94 % (1252548)Peak memory usage: 115 MB
% 7.48/2.94 % (1252548)Instructions burned: 185 (million)
% 7.48/2.94 % (1252547)Instruction limit reached!
% 7.48/2.94 % (1252547)------------------------------
% 7.48/2.94 % (1252547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.94 % (1252547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.94 % (1252547)CaDiCaL version: 2.1.3
% 7.48/2.94 % (1252547)Termination reason: Instruction limit
% 7.48/2.94 % (1252547)Termination phase: Property scanning
% 7.48/2.94 % (1252547)Time elapsed: 0.095 s
% 7.48/2.94 % (1252547)Peak memory usage: 117 MB
% 7.48/2.94 % (1252547)Instructions burned: 136 (million)
% 7.48/2.94 % (1252558)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3690444527:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2985 on theBenchmark for (2985ds/2051Mi)
% 7.48/2.94 % (1252549)Instruction limit reached!
% 7.48/2.94 % (1252549)------------------------------
% 7.48/2.94 % (1252549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.94 % (1252549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.94 % (1252549)CaDiCaL version: 2.1.3
% 7.48/2.94 % (1252549)Termination reason: Instruction limit
% 7.48/2.94 % (1252549)Termination phase: Saturation
% 7.48/2.94 % (1252549)Time elapsed: 0.149 s
% 7.48/2.94 % (1252549)Peak memory usage: 121 MB
% 7.48/2.94 % (1252549)Instructions burned: 258 (million)
% 7.48/2.94 % (1252559)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4085304863:i=4948:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/4948Mi)
% 7.48/2.94 % (1252561)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4251085724:i=215:ep=RSTC_2984 on theBenchmark for (2984ds/215Mi)
% 7.48/2.94 % (1252550)First to succeed.
% 7.48/2.94 % (1252550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1252539"
% 7.48/2.94 % (1252561)Instruction limit reached!
% 7.48/2.94 % (1252561)------------------------------
% 7.48/2.94 % (1252561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.94 % (1252561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.94 % (1252561)CaDiCaL version: 2.1.3
% 7.48/2.94 % (1252561)Termination reason: Instruction limit
% 7.48/2.94 % (1252561)Termination phase: Property scanning
% 7.48/2.94 % (1252561)Time elapsed: 0.120 s
% 7.48/2.94 % (1252561)Peak memory usage: 117 MB
% 7.48/2.94 % (1252561)Instructions burned: 217 (million)
% 7.48/2.94 % (1252550)Refutation found. Thanks to Tanya!
% 7.48/2.94 % SZS status Unsatisfiable for theBenchmark
% 7.48/2.94 % SZS output start Proof for theBenchmark
% See solution above
% 7.48/2.94 % (1252550)------------------------------
% 7.48/2.94 % (1252550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.48/2.94 % (1252550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.48/2.94 % (1252550)CaDiCaL version: 2.1.3
% 7.48/2.94 % (1252550)Termination reason: Refutation
% 7.48/2.94 % (1252550)Time elapsed: 0.326 s
% 7.48/2.94 % (1252550)Peak memory usage: 125 MB
% 7.48/2.94 % (1252550)Instructions burned: 529 (million)
% 7.48/2.94 % (1252550)------------------------------
% 7.48/2.94 % (1252550)------------------------------
% 7.48/2.94 % (1252539)Success in time 2.045 s
% 7.48/2.94 % Vampire exiting
%------------------------------------------------------------------------------