%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR068-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 : Tue Sep 29 09:42:33 AM UTC 2026
% Result : Unsatisfiable 7.51s 2.93s
% Output : Refutation 7.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq4(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f11150,axiom,
! [X0] : ifeq4(furpelt(X0),true,ifeq4(mtvisible(c_tptp_spindleheadmt),true,tptpofobject(X0,f_tptpquantityfn_1(n_328)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_5580) ).
fof(f11151,plain,
! [X0] : true = ifeq4(furpelt(X0),true,ifeq4(mtvisible(c_tptp_spindleheadmt),true,tptpofobject(X0,f_tptpquantityfn_1(n_328)),true),true),
inference(reorient_equations,[],[f11150]) ).
fof(f19282,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_9650) ).
fof(f19283,plain,
true = genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(reorient_equations,[],[f19282]) ).
fof(f20888,axiom,
furpelt(c_theprototypicalfurpelt) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_10453) ).
fof(f20889,plain,
true = furpelt(c_theprototypicalfurpelt),
inference(reorient_equations,[],[f20888]) ).
fof(f88048,axiom,
! [X0,X1] : ifeq4(genlmt(X0,X1),true,ifeq4(mtvisible(X0),true,mtvisible(X1),true),true) = true,
file('/export/starexec/sandbox/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_member2356_mt) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query218) ).
fof(f88067,plain,
true = mtvisible(c_tptp_member2356_mt),
inference(reorient_equations,[],[f88066]) ).
fof(f88432,negated_conjecture,
ifeq3(tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true,a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query218_1) ).
fof(f88433,plain,
b = ifeq3(tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true,a,b),
inference(reorient_equations,[],[f88432]) ).
fof(f88434,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f89551,plain,
true = ifeq4(true,true,ifeq4(mtvisible(c_tptp_member2356_mt),true,mtvisible(c_tptp_spindleheadmt),true),true),
inference(superposition,[],[f88049,f19283]) ).
fof(f89614,plain,
true = ifeq4(mtvisible(c_tptp_member2356_mt),true,mtvisible(c_tptp_spindleheadmt),true),
inference(forward_demodulation,[],[f89551,f1]) ).
fof(f89691,plain,
true = ifeq4(true,true,mtvisible(c_tptp_spindleheadmt),true),
inference(forward_demodulation,[],[f89614,f88067]) ).
fof(f89731,plain,
true = mtvisible(c_tptp_spindleheadmt),
inference(forward_demodulation,[],[f89691,f1]) ).
fof(f90422,plain,
! [X0] : true = ifeq4(furpelt(X0),true,ifeq4(true,true,tptpofobject(X0,f_tptpquantityfn_1(n_328)),true),true),
inference(forward_demodulation,[],[f11151,f89731]) ).
fof(f90423,plain,
! [X0] : true = ifeq4(furpelt(X0),true,tptpofobject(X0,f_tptpquantityfn_1(n_328)),true),
inference(forward_demodulation,[],[f90422,f1]) ).
fof(f90432,plain,
true = ifeq4(true,true,tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true),
inference(superposition,[],[f90423,f20889]) ).
fof(f90433,plain,
true = tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(forward_demodulation,[],[f90432,f1]) ).
fof(f90435,plain,
b = ifeq3(true,true,a,b),
inference(superposition,[],[f88433,f90433]) ).
fof(f90443,plain,
a = b,
inference(forward_demodulation,[],[f90435,f2]) ).
fof(f90444,plain,
$false,
inference(forward_subsumption_resolution,[],[f90443,f88434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR068-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n019.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 22:24:03 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.51/2.93 % (345625)Detected a unit-equality problem, will run specialized UEQ schedule.
% 7.51/2.93 % (345631)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=4253023945:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2987 on theBenchmark for (2987ds/130792Mi)
% 7.51/2.93 % (345633)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=385356243:i=136:bd=preordered:ins=2:av=off_2987 on theBenchmark for (2987ds/136Mi)
% 7.51/2.93 % (345632)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2489890220:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2987 on theBenchmark for (2987ds/130716Mi)
% 7.51/2.93 % (345630)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=34697794:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2987 on theBenchmark for (2987ds/138329Mi)
% 7.51/2.93 % (345634)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2512606956:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2987 on theBenchmark for (2987ds/181Mi)
% 7.51/2.93 % (345635)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3189492249:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2987 on theBenchmark for (2987ds/257Mi)
% 7.51/2.93 % (345636)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4060673062:i=1187:sd=4:av=off:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/1187Mi)
% 7.51/2.93 % (345634)Instruction limit reached!
% 7.51/2.93 % (345634)------------------------------
% 7.51/2.93 % (345634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/2.93 % (345634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/2.93 % (345634)CaDiCaL version: 2.1.3
% 7.51/2.93 % (345634)Termination reason: Instruction limit
% 7.51/2.93 % (345634)Termination phase: Property scanning
% 7.51/2.93 % (345634)Time elapsed: 0.088 s
% 7.51/2.93 % (345634)Peak memory usage: 114 MB
% 7.51/2.93 % (345634)Instructions burned: 183 (million)
% 7.51/2.93 % (345633)Instruction limit reached!
% 7.51/2.93 % (345633)------------------------------
% 7.51/2.93 % (345633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/2.93 % (345633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/2.93 % (345633)CaDiCaL version: 2.1.3
% 7.51/2.93 % (345633)Termination reason: Instruction limit
% 7.51/2.93 % (345633)Termination phase: Property scanning
% 7.51/2.93 % (345633)Time elapsed: 0.089 s
% 7.51/2.93 % (345633)Peak memory usage: 117 MB
% 7.51/2.93 % (345633)Instructions burned: 137 (million)
% 7.51/2.93 % (345635)Instruction limit reached!
% 7.51/2.93 % (345635)------------------------------
% 7.51/2.93 % (345635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/2.93 % (345635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/2.93 % (345635)CaDiCaL version: 2.1.3
% 7.51/2.93 % (345635)Termination reason: Instruction limit
% 7.51/2.93 % (345635)Termination phase: Saturation
% 7.51/2.93 % (345635)Time elapsed: 0.150 s
% 7.51/2.93 % (345635)Peak memory usage: 121 MB
% 7.51/2.93 % (345635)Instructions burned: 257 (million)
% 7.51/2.93 % (345644)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=212091344:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2984 on theBenchmark for (2984ds/2051Mi)
% 7.51/2.93 % (345645)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2439849140:i=4948:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/4948Mi)
% 7.51/2.93 % (345636)First to succeed.
% 7.51/2.93 % (345636)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-345625"
% 7.51/2.93 % (345646)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=531185940:i=215:ep=RSTC_2984 on theBenchmark for (2984ds/215Mi)
% 7.51/2.93 % (345646)Instruction limit reached!
% 7.51/2.93 % (345646)------------------------------
% 7.51/2.93 % (345646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/2.93 % (345646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/2.93 % (345646)CaDiCaL version: 2.1.3
% 7.51/2.93 % (345646)Termination reason: Instruction limit
% 7.51/2.93 % (345646)Termination phase: Property scanning
% 7.51/2.93 % (345646)Time elapsed: 0.124 s
% 7.51/2.93 % (345646)Peak memory usage: 117 MB
% 7.51/2.93 % (345646)Instructions burned: 215 (million)
% 7.51/2.93 % (345636)Refutation found. Thanks to Tanya!
% 7.51/2.93 % SZS status Unsatisfiable for theBenchmark
% 7.51/2.93 % SZS output start Proof for theBenchmark
% See solution above
% 7.51/2.93 % (345636)------------------------------
% 7.51/2.93 % (345636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.51/2.93 % (345636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.51/2.93 % (345636)CaDiCaL version: 2.1.3
% 7.51/2.93 % (345636)Termination reason: Refutation
% 7.51/2.93 % (345636)Time elapsed: 0.317 s
% 7.51/2.93 % (345636)Peak memory usage: 125 MB
% 7.51/2.93 % (345636)Instructions burned: 519 (million)
% 7.51/2.93 % (345636)------------------------------
% 7.51/2.93 % (345636)------------------------------
% 7.51/2.93 % (345625)Success in time 2.035 s
% 7.51/2.93 % Vampire exiting
%------------------------------------------------------------------------------