%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX207-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:46:10 PM UTC 2026
% Result : Unsatisfiable 6.88s 1.74s
% Output : Refutation 6.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 32 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 16 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : impl(btrue,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f4,axiom,
! [X0] : append(nil,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
fof(f5,axiom,
! [X2,X0,X1] : append(cons(X0,X1),X2) = cons(X0,append(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_003) ).
fof(f10,axiom,
linP(pB) = cons(b,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(f11,plain,
cons(b,nil) = linP(pB),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
linP(pE) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).
fof(f13,plain,
nil = linP(pE),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0,X1] : linC(c2(X0,X1)) = append(linP(X0),linP(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).
fof(f15,axiom,
! [X0,X1] : unambig(X0,X1) = impl(eq(linC(X0),linC(X1)),eq4(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
fof(f30,axiom,
eq3(pE,pB) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_018) ).
fof(f31,plain,
bfalse = eq3(pE,pB),
inference(reorient_equations,[],[f30]) ).
fof(f67,axiom,
! [X2,X3,X0,X1] :
( eq3(X0,X1) != bfalse
| eq4(c2(X0,X2),c2(X1,X3)) = bfalse ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_037) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( bfalse != eq3(X0,X1)
| bfalse = eq4(c2(X0,X2),c2(X1,X3)) ),
inference(reorient_equations,[],[f67]) ).
fof(f71,axiom,
! [X0] : eq(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_039) ).
fof(f72,plain,
! [X0] : btrue = eq(X0,X0),
inference(reorient_equations,[],[f71]) ).
fof(f79,axiom,
! [X0] : eq5(X0,X0) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_043) ).
fof(f80,plain,
! [X0] : btrue = eq5(X0,X0),
inference(reorient_equations,[],[f79]) ).
fof(f89,negated_conjecture,
! [X0,X1] : eq5(unambig(X0,X1),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f90,plain,
! [X0,X1] : btrue != eq5(unambig(X0,X1),bfalse),
inference(reorient_equations,[],[f89]) ).
fof(f91,plain,
! [X0,X1] : btrue != eq5(impl(eq(linC(X0),linC(X1)),eq4(X0,X1)),bfalse),
inference(definition_unfolding,[],[f90,f15]) ).
fof(f152,plain,
! [X2,X0,X1] : btrue != eq5(impl(eq(append(linP(X0),linP(X1)),linC(X2)),eq4(c2(X0,X1),X2)),bfalse),
inference(superposition,[],[f91,f14]) ).
fof(f188,plain,
! [X0,X1] : btrue != eq5(impl(eq(append(nil,linP(X0)),linC(X1)),eq4(c2(pE,X0),X1)),bfalse),
inference(superposition,[],[f152,f13]) ).
fof(f193,plain,
! [X0,X1] : btrue != eq5(impl(eq(linP(X0),linC(X1)),eq4(c2(pE,X0),X1)),bfalse),
inference(forward_demodulation,[],[f188,f4]) ).
fof(f198,plain,
! [X2,X0,X1] : btrue != eq5(impl(eq(linP(X2),append(linP(X0),linP(X1))),eq4(c2(pE,X2),c2(X0,X1))),bfalse),
inference(superposition,[],[f193,f14]) ).
fof(f308,plain,
! [X0] : cons(b,append(nil,X0)) = append(linP(pB),X0),
inference(superposition,[],[f5,f11]) ).
fof(f309,plain,
! [X0] : append(linP(pB),X0) = cons(b,X0),
inference(forward_demodulation,[],[f308,f4]) ).
fof(f403,plain,
! [X0,X1] : btrue != eq5(impl(eq(linP(X1),cons(b,linP(X0))),eq4(c2(pE,X1),c2(pB,X0))),bfalse),
inference(superposition,[],[f198,f309]) ).
fof(f488,plain,
! [X0] : btrue != eq5(impl(eq(linP(X0),cons(b,nil)),eq4(c2(pE,X0),c2(pB,pE))),bfalse),
inference(superposition,[],[f403,f13]) ).
fof(f490,plain,
! [X0] : btrue != eq5(impl(eq(linP(X0),linP(pB)),eq4(c2(pE,X0),c2(pB,pE))),bfalse),
inference(forward_demodulation,[],[f488,f11]) ).
fof(f495,plain,
btrue != eq5(impl(btrue,eq4(c2(pE,pB),c2(pB,pE))),bfalse),
inference(superposition,[],[f490,f72]) ).
fof(f496,plain,
btrue != eq5(eq4(c2(pE,pB),c2(pB,pE)),bfalse),
inference(forward_demodulation,[],[f495,f1]) ).
fof(f1497,plain,
! [X0,X1] :
( bfalse != bfalse
| bfalse = eq4(c2(pE,X0),c2(pB,X1)) ),
inference(superposition,[],[f68,f31]) ).
fof(f1498,plain,
! [X0,X1] : bfalse = eq4(c2(pE,X0),c2(pB,X1)),
inference(trivial_inequality_removal,[],[f1497]) ).
fof(f1524,plain,
btrue != eq5(bfalse,bfalse),
inference(backward_demodulation,[],[f496,f1498]) ).
fof(f1566,plain,
$false,
inference(forward_subsumption_resolution,[],[f1524,f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX207-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:08:28 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 5.61/1.54 % (448233)Input is clausal, will run a generic CNF schedule.
% 5.61/1.54 % (448241)lrs+10_1_sil=8000:sp=occurrence:random_seed=1424197990:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.61/1.54 % (448239)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2053992410:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.61/1.54 % (448240)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3840356102:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.61/1.54 % (448238)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2841674838:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.61/1.54 % (448241)Instruction limit reached!
% 5.61/1.54 % (448241)------------------------------
% 5.61/1.54 % (448241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.54 % (448241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.55 % (448241)CaDiCaL version: 2.1.3
% 5.61/1.55 % (448241)Termination reason: Instruction limit
% 5.61/1.55 % (448241)Termination phase: Saturation
% 5.61/1.55 % (448241)Time elapsed: 0.035 s
% 5.61/1.55 % (448241)Peak memory usage: 88 MB
% 5.61/1.55 % (448241)Instructions burned: 109 (million)
% 5.61/1.55 % (448243)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4155937361:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.61/1.55 % (448242)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2004884774:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.61/1.55 % (448244)dis-21_1_sil=8000:lcm=predicate:random_seed=2952850603:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.61/1.55 % (448244)Refutation not found, incomplete strategy
% 5.61/1.55 % (448244)------------------------------
% 5.61/1.55 % (448244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.55 % (448244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.55 % (448244)CaDiCaL version: 2.1.3
% 5.61/1.55 % (448244)Termination reason: Refutation not found, incomplete strategy
% 5.61/1.55 % (448244)Time elapsed: 0.002 s
% 5.61/1.55 % (448244)Peak memory usage: 88 MB
% 5.61/1.55 % (448244)Instructions burned: 2 (million)
% 5.61/1.55 % (448242)Instruction limit reached!
% 5.61/1.55 % (448242)------------------------------
% 5.61/1.55 % (448242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.55 % (448242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.55 % (448242)CaDiCaL version: 2.1.3
% 5.61/1.55 % (448242)Termination reason: Instruction limit
% 5.61/1.55 % (448242)Termination phase: Saturation
% 5.61/1.55 % (448242)Time elapsed: 0.072 s
% 5.61/1.55 % (448242)Peak memory usage: 89 MB
% 5.61/1.55 % (448242)Instructions burned: 115 (million)
% 5.61/1.55 % (448243)Instruction limit reached!
% 5.61/1.55 % (448243)------------------------------
% 5.61/1.55 % (448243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.55 % (448243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.55 % (448243)CaDiCaL version: 2.1.3
% 5.61/1.55 % (448243)Termination reason: Instruction limit
% 5.61/1.55 % (448243)Termination phase: Saturation
% 5.61/1.55 % (448243)Time elapsed: 0.107 s
% 5.61/1.55 % (448243)Peak memory usage: 90 MB
% 5.61/1.55 % (448243)Instructions burned: 180 (million)
% 5.61/1.55 % (448249)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1590294980:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.61/1.55 % (448249)Refutation not found, incomplete strategy
% 5.61/1.55 % (448249)------------------------------
% 5.61/1.55 % (448249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.55 % (448249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.55 % (448249)CaDiCaL version: 2.1.3
% 5.61/1.55 % (448249)Termination reason: Refutation not found, incomplete strategy
% 5.61/1.55 % (448249)Time elapsed: 0.001 s
% 5.61/1.55 % (448249)Peak memory usage: 88 MB
% 5.61/1.55 % (448249)Instructions burned: 1 (million)
% 5.61/1.55 % (448253)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1784196097:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.88/1.74 % (448253)Refutation not found, incomplete strategy
% 6.88/1.74 % (448253)------------------------------
% 6.88/1.74 % (448253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.74 % (448253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.74 % (448253)CaDiCaL version: 2.1.3
% 6.88/1.74 % (448253)Termination reason: Refutation not found, incomplete strategy
% 6.88/1.74 % (448253)Time elapsed: 0.009 s
% 6.88/1.74 % (448253)Peak memory usage: 88 MB
% 6.88/1.74 % (448253)Instructions burned: 14 (million)
% 6.88/1.74 % (448244)------------------------------
% 6.88/1.74 % (448244)------------------------------
% 6.88/1.74 % (448249)------------------------------
% 6.88/1.74 % (448249)------------------------------
% 6.88/1.74 % (448254)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3763367662:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.88/1.74 % (448254)Instruction limit reached!
% 6.88/1.74 % (448254)------------------------------
% 6.88/1.74 % (448254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.74 % (448254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.74 % (448254)CaDiCaL version: 2.1.3
% 6.88/1.74 % (448254)Termination reason: Instruction limit
% 6.88/1.74 % (448254)Termination phase: Saturation
% 6.88/1.74 % (448254)Time elapsed: 0.115 s
% 6.88/1.74 % (448254)Peak memory usage: 90 MB
% 6.88/1.74 % (448254)Instructions burned: 221 (million)
% 6.88/1.74 % (448259)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1220805215:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.88/1.74 % (448257)lrs+10_64_to=lpo:sil=8000:random_seed=1341407623:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.88/1.74 % (448257)First to succeed.
% 6.88/1.74 % (448257)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-448233"
% 6.88/1.74 % (448259)Instruction limit reached!
% 6.88/1.74 % (448259)------------------------------
% 6.88/1.74 % (448259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.74 % (448259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.74 % (448259)CaDiCaL version: 2.1.3
% 6.88/1.74 % (448259)Termination reason: Instruction limit
% 6.88/1.74 % (448259)Termination phase: Saturation
% 6.88/1.74 % (448259)Time elapsed: 0.052 s
% 6.88/1.74 % (448259)Peak memory usage: 89 MB
% 6.88/1.74 % (448259)Instructions burned: 195 (million)
% 6.88/1.74 % (448253)------------------------------
% 6.88/1.74 % (448253)------------------------------
% 6.88/1.74 % (448260)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1951803732:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.88/1.74 % (448263)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=457718625:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.88/1.74 % (448260)Instruction limit reached!
% 6.88/1.74 % (448260)------------------------------
% 6.88/1.74 % (448260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.74 % (448260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.74 % (448260)CaDiCaL version: 2.1.3
% 6.88/1.74 % (448260)Termination reason: Instruction limit
% 6.88/1.74 % (448260)Termination phase: Saturation
% 6.88/1.74 % (448260)Time elapsed: 0.100 s
% 6.88/1.74 % (448260)Peak memory usage: 90 MB
% 6.88/1.74 % (448260)Instructions burned: 158 (million)
% 6.88/1.74 % (448264)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1578144455:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.88/1.74 % (448257)Refutation found. Thanks to Tanya!
% 6.88/1.74 % SZS status Unsatisfiable for theBenchmark
% 6.88/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 6.88/1.75 % (448257)------------------------------
% 6.88/1.75 % (448257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/1.75 % (448257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.75 % (448257)CaDiCaL version: 2.1.3
% 6.88/1.75 % (448257)Termination reason: Refutation
% 6.88/1.75 % (448257)Time elapsed: 0.046 s
% 6.88/1.75 % (448257)Peak memory usage: 89 MB
% 6.88/1.75 % (448257)Instructions burned: 79 (million)
% 6.88/1.75 % (448257)------------------------------
% 6.88/1.75 % (448257)------------------------------
% 6.88/1.75 % (448233)Success in time 0.886 s
% 6.88/1.75 % Vampire exiting
%------------------------------------------------------------------------------