%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 11:56:57 AM UTC 2026
% Result : Unsatisfiable 9.58s 2.33s
% Output : Refutation 9.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f9,axiom,
! [X2,X0,X1] : ' = =>'('+'(X0,X1),X2) = ' = =>'(X0,' = =>'(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f10,axiom,
! [X0,X1] : '+'(X0,' = =>'(X0,X1)) = '+'(X1,' = =>'(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f11,negated_conjecture,
'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_09) ).
fof(f12,plain,
'+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))) != '+'(c,' = =>'(c,'+'(a,' = =>'(a,b)))),
inference(backward_demodulation,[],[f11,f10]) ).
fof(f14,plain,
! [X2,X0,X1] : '+'(X1,'+'(' = =>'(X1,X0),X2)) = '+'('+'(X0,' = =>'(X0,X1)),X2),
inference(superposition,[],[f1,f10]) ).
fof(f23,plain,
! [X2,X0,X1] : '+'(X2,' = =>'(X2,'+'(X0,X1))) = '+'(X0,'+'(X1,' = =>'('+'(X0,X1),X2))),
inference(superposition,[],[f10,f1]) ).
fof(f25,plain,
! [X2,X0,X1] : '+'(X0,'+'(X1,X2)) = '+'(X1,'+'(X2,X0)),
inference(superposition,[],[f2,f1]) ).
fof(f26,plain,
! [X2,X0,X1] : '+'(X2,' = =>'(X2,'+'(X0,X1))) = '+'(X0,'+'(X1,' = =>'(X0,' = =>'(X1,X2)))),
inference(forward_demodulation,[],[f23,f9]) ).
fof(f31,plain,
! [X2,X0,X1] : '+'(X1,'+'(' = =>'(X1,X0),X2)) = '+'(X0,'+'(' = =>'(X0,X1),X2)),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f128,plain,
! [X2,X0,X1] : '+'(X2,'+'(' = =>'(X2,X1),X0)) = '+'(X1,'+'(X0,' = =>'(X1,X2))),
inference(superposition,[],[f31,f2]) ).
fof(f230,plain,
! [X2,X0,X1] : '+'(X2,'+'(' = =>'(X2,X0),X1)) = '+'(X2,'+'(X1,' = =>'(X2,X0))),
inference(superposition,[],[f31,f128]) ).
fof(f327,plain,
! [X2,X0,X1] : '+'(X2,' = =>'(X2,'+'(X0,X1))) = '+'(X1,'+'(X0,' = =>'(X1,' = =>'(X0,X2)))),
inference(superposition,[],[f26,f2]) ).
fof(f363,plain,
! [X2,X0,X1] : '+'(X0,' = =>'(X0,'+'(X1,X2))) = '+'(' = =>'(X2,X0),'+'(' = =>'(' = =>'(X2,X0),X1),X2)),
inference(superposition,[],[f128,f26]) ).
fof(f380,plain,
! [X2,X0,X1] : '+'(X0,' = =>'(X0,'+'(X1,X2))) = '+'(X2,'+'(' = =>'(X2,X0),' = =>'(' = =>'(X2,X0),X1))),
inference(forward_demodulation,[],[f363,f25]) ).
fof(f440,plain,
! [X2,X0,X1] : '+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))) = '+'(' = =>'(X0,X1),'+'(X0,' = =>'(' = =>'(X0,X1),' = =>'(X0,X2)))),
inference(superposition,[],[f327,f10]) ).
fof(f471,plain,
! [X2,X0,X1] : '+'(X0,' = =>'(X0,'+'(X1,X2))) = '+'(X0,' = =>'(X0,'+'(X2,X1))),
inference(superposition,[],[f26,f327]) ).
fof(f513,plain,
! [X2,X0,X1] : '+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))) = '+'(X0,'+'(' = =>'(' = =>'(X0,X1),' = =>'(X0,X2)),' = =>'(X0,X1))),
inference(forward_demodulation,[],[f440,f25]) ).
fof(f540,plain,
! [X2,X0,X1] : '+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))) = '+'(X0,'+'(' = =>'(X0,X1),' = =>'(' = =>'(X0,X1),' = =>'(X0,X2)))),
inference(forward_demodulation,[],[f513,f230]) ).
fof(f556,plain,
! [X2,X0,X1] : '+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))) = '+'(X1,' = =>'(X1,'+'(' = =>'(X0,X2),X0))),
inference(forward_demodulation,[],[f540,f380]) ).
fof(f567,plain,
! [X2,X0,X1] : '+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))) = '+'(X1,' = =>'(X1,'+'(X0,' = =>'(X0,X2)))),
inference(forward_demodulation,[],[f556,f471]) ).
fof(f577,plain,
$false,
inference(backward_subsumption_resolution,[],[f12,f567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:04:52 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 9.58/2.33 % (422246)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.58/2.33 % (422251)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=4250640266:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.58/2.33 % (422255)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3697727606:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.58/2.33 % (422253)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1494621984:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.58/2.33 % (422257)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1158161391:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.58/2.33 % (422252)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=1756947688:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.58/2.33 % (422254)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3097665078:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.58/2.33 % (422256)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=437861832:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.58/2.33 % (422254)Instruction limit reached!
% 9.58/2.33 % (422254)------------------------------
% 9.58/2.33 % (422254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.58/2.33 % (422254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.58/2.33 % (422254)CaDiCaL version: 2.1.3
% 9.58/2.33 % (422254)Termination reason: Instruction limit
% 9.58/2.33 % (422254)Termination phase: Saturation
% 9.58/2.33 % (422254)Time elapsed: 0.076 s
% 9.58/2.33 % (422254)Peak memory usage: 88 MB
% 9.58/2.33 % (422254)Instructions burned: 136 (million)
% 9.58/2.33 % (422255)Instruction limit reached!
% 9.58/2.33 % (422255)------------------------------
% 9.58/2.33 % (422255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.58/2.33 % (422255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.58/2.33 % (422255)CaDiCaL version: 2.1.3
% 9.58/2.33 % (422255)Termination reason: Instruction limit
% 9.58/2.33 % (422255)Termination phase: Saturation
% 9.58/2.33 % (422255)Time elapsed: 0.100 s
% 9.58/2.33 % (422255)Peak memory usage: 89 MB
% 9.58/2.33 % (422255)Instructions burned: 181 (million)
% 9.58/2.33 % (422256)Instruction limit reached!
% 9.58/2.33 % (422256)------------------------------
% 9.58/2.33 % (422256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.58/2.33 % (422256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.58/2.33 % (422256)CaDiCaL version: 2.1.3
% 9.58/2.33 % (422256)Termination reason: Instruction limit
% 9.58/2.33 % (422256)Termination phase: Saturation
% 9.58/2.33 % (422256)Time elapsed: 0.158 s
% 9.58/2.33 % (422256)Peak memory usage: 90 MB
% 9.58/2.33 % (422256)Instructions burned: 257 (million)
% 9.58/2.33 % (422265)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3015750154:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 9.58/2.33 % (422266)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3036050190:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 9.58/2.33 % (422267)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4026271612:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 9.58/2.33 % (422267)Instruction limit reached!
% 9.58/2.33 % (422267)------------------------------
% 9.58/2.33 % (422267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.58/2.33 % (422267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.58/2.33 % (422267)CaDiCaL version: 2.1.3
% 9.58/2.33 % (422267)Termination reason: Instruction limit
% 9.58/2.33 % (422267)Termination phase: Saturation
% 9.58/2.33 % (422267)Time elapsed: 0.110 s
% 9.58/2.33 % (422267)Peak memory usage: 89 MB
% 9.58/2.33 % (422267)Instructions burned: 215 (million)
% 9.58/2.33 % (422271)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1231998544:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 9.58/2.33 % (422257)Instruction limit reached!
% 9.58/2.33 % (422257)------------------------------
% 9.58/2.33 % (422257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.58/2.33 % (422257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.58/2.33 % (422257)CaDiCaL version: 2.1.3
% 9.58/2.33 % (422257)Termination reason: Instruction limit
% 9.58/2.33 % (422257)Termination phase: Saturation
% 9.58/2.33 % (422257)Time elapsed: 0.594 s
% 9.58/2.33 % (422257)Peak memory usage: 99 MB
% 9.58/2.33 % (422257)Instructions burned: 1187 (million)
% 9.58/2.33 % (422271)Instruction limit reached!
% 9.58/2.33 % (422271)------------------------------
% 9.58/2.33 % (422271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.58/2.33 % (422271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.58/2.33 % (422271)CaDiCaL version: 2.1.3
% 9.58/2.33 % (422271)Termination reason: Instruction limit
% 9.58/2.33 % (422271)Termination phase: Saturation
% 9.58/2.33 % (422271)Time elapsed: 0.189 s
% 9.58/2.33 % (422271)Peak memory usage: 93 MB
% 9.58/2.33 % (422271)Instructions burned: 318 (million)
% 9.58/2.33 % (422273)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3383403867:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 9.58/2.33 % (422274)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2045325426:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 9.58/2.33 % (422265)First to succeed.
% 9.58/2.33 % (422265)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-422246"
% 9.58/2.33 % (422251)Also succeeded, but the first one will report.
% 9.58/2.33 % (422253)Also succeeded, but the first one will report.
% 9.58/2.33 % (422265)Refutation found. Thanks to Tanya!
% 9.58/2.33 % SZS status Unsatisfiable for theBenchmark
% 9.58/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 9.58/2.33 % (422265)------------------------------
% 9.58/2.33 % (422265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.58/2.33 % (422265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.58/2.33 % (422265)CaDiCaL version: 2.1.3
% 9.58/2.33 % (422265)Termination reason: Refutation
% 9.58/2.33 % (422265)Time elapsed: 0.650 s
% 9.58/2.33 % (422265)Peak memory usage: 129 MB
% 9.58/2.33 % (422265)Instructions burned: 993 (million)
% 9.58/2.33 % (422265)------------------------------
% 9.58/2.33 % (422265)------------------------------
% 9.58/2.33 % (422246)Success in time 1.268 s
% 9.58/2.33 % Vampire exiting
%------------------------------------------------------------------------------