%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW412-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:30:17 PM UTC 2026
% Result : Unsatisfiable 5.01s 1.47s
% Output : Refutation 5.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 16 unt; 0 def)
% Number of atoms : 19 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 12 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_commutative) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))
| X0 = X1
| heap(sep(lseg(X0,X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unfolding_2) ).
fof(f17,axiom,
x3 != x2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).
fof(f18,plain,
x2 != x3,
inference(reorient_equations,[],[f17]) ).
fof(f20,axiom,
x1 != x4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).
fof(f22,axiom,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).
fof(f23,negated_conjecture,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).
fof(f24,plain,
~ heap(sep(lseg(x1,nil),sep(lseg(x2,nil),emp))),
inference(forward_demodulation,[],[f23,f1]) ).
fof(f25,plain,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x2,x3),sep(next(x1,x4),emp))))),
inference(forward_demodulation,[],[f22,f1]) ).
fof(f26,plain,
heap(sep(lseg(x3,nil),sep(next(x2,x3),sep(lseg(x4,nil),sep(next(x1,x4),emp))))),
inference(forward_demodulation,[],[f25,f1]) ).
fof(f195,plain,
~ heap(sep(next(x1,x4),sep(lseg(x4,nil),sep(lseg(x2,nil),emp)))),
inference(unit_resulting_resolution,[],[f9,f24,f20]) ).
fof(f206,plain,
~ heap(sep(lseg(x4,nil),sep(next(x1,x4),sep(lseg(x2,nil),emp)))),
inference(forward_demodulation,[],[f195,f1]) ).
fof(f211,plain,
~ heap(sep(lseg(x4,nil),sep(lseg(x2,nil),sep(next(x1,x4),emp)))),
inference(forward_demodulation,[],[f206,f1]) ).
fof(f215,plain,
~ heap(sep(lseg(x2,nil),sep(lseg(x4,nil),sep(next(x1,x4),emp)))),
inference(forward_demodulation,[],[f211,f1]) ).
fof(f221,plain,
~ heap(sep(next(x2,x3),sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),emp))))),
inference(unit_resulting_resolution,[],[f9,f18,f215]) ).
fof(f224,plain,
~ heap(sep(lseg(x3,nil),sep(next(x2,x3),sep(lseg(x4,nil),sep(next(x1,x4),emp))))),
inference(forward_demodulation,[],[f221,f1]) ).
fof(f227,plain,
$false,
inference(forward_subsumption_resolution,[],[f224,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW412-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n009.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 13:50:45 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 5.01/1.47 % (3034728)Input is clausal, will run a generic CNF schedule.
% 5.01/1.47 % (3034733)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=2167964051:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.01/1.47 % (3034739)dis-21_1_sil=8000:lcm=predicate:random_seed=4273184084: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)
% 5.01/1.47 % (3034738)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3025563192:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.01/1.47 % (3034736)lrs+10_1_sil=8000:sp=occurrence:random_seed=28177576:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.01/1.47 % (3034734)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1758092976:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.01/1.47 % (3034737)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2075451995:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.01/1.47 % (3034735)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=118370854:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.01/1.47 % (3034739)Refutation not found, incomplete strategy
% 5.01/1.47 % (3034739)------------------------------
% 5.01/1.47 % (3034739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.47 % (3034739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.47 % (3034739)CaDiCaL version: 2.1.3
% 5.01/1.47 % (3034739)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.47 % (3034739)Time elapsed: 0.004 s
% 5.01/1.47 % (3034739)Peak memory usage: 88 MB
% 5.01/1.47 % (3034739)Instructions burned: 5 (million)
% 5.01/1.47 % (3034736)Instruction limit reached!
% 5.01/1.47 % (3034736)------------------------------
% 5.01/1.47 % (3034736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.47 % (3034736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.47 % (3034736)CaDiCaL version: 2.1.3
% 5.01/1.47 % (3034736)Termination reason: Instruction limit
% 5.01/1.47 % (3034736)Termination phase: Saturation
% 5.01/1.47 % (3034736)Time elapsed: 0.062 s
% 5.01/1.47 % (3034736)Peak memory usage: 88 MB
% 5.01/1.47 % (3034736)Instructions burned: 107 (million)
% 5.01/1.47 % (3034737)Instruction limit reached!
% 5.01/1.47 % (3034737)------------------------------
% 5.01/1.47 % (3034737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.47 % (3034737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.47 % (3034737)CaDiCaL version: 2.1.3
% 5.01/1.47 % (3034737)Termination reason: Instruction limit
% 5.01/1.47 % (3034737)Termination phase: Saturation
% 5.01/1.47 % (3034737)Time elapsed: 0.071 s
% 5.01/1.47 % (3034737)Peak memory usage: 88 MB
% 5.01/1.47 % (3034737)Instructions burned: 115 (million)
% 5.01/1.47 % (3034738)Instruction limit reached!
% 5.01/1.47 % (3034738)------------------------------
% 5.01/1.47 % (3034738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.47 % (3034738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.47 % (3034738)CaDiCaL version: 2.1.3
% 5.01/1.47 % (3034738)Termination reason: Instruction limit
% 5.01/1.47 % (3034738)Termination phase: Saturation
% 5.01/1.47 % (3034738)Time elapsed: 0.100 s
% 5.01/1.47 % (3034738)Peak memory usage: 89 MB
% 5.01/1.47 % (3034738)Instructions burned: 180 (million)
% 5.01/1.47 % (3034747)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=3163939140:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.01/1.47 % (3034747)Refutation not found, incomplete strategy
% 5.01/1.47 % (3034747)------------------------------
% 5.01/1.47 % (3034747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.47 % (3034747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.47 % (3034747)CaDiCaL version: 2.1.3
% 5.01/1.47 % (3034747)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.47 % (3034747)Time elapsed: 0.002 s
% 5.01/1.47 % (3034747)Peak memory usage: 88 MB
% 5.01/1.47 % (3034747)Instructions burned: 1 (million)
% 5.01/1.47 % (3034748)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3479969121: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)
% 5.01/1.47 % (3034748)First to succeed.
% 5.01/1.47 % (3034748)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3034728"
% 5.01/1.47 % (3034739)------------------------------
% 5.01/1.47 % (3034739)------------------------------
% 5.01/1.47 % (3034749)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2348787299:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.01/1.47 % (3034749)Refutation not found, incomplete strategy
% 5.01/1.47 % (3034749)------------------------------
% 5.01/1.47 % (3034749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.47 % (3034749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.47 % (3034749)CaDiCaL version: 2.1.3
% 5.01/1.47 % (3034749)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.47 % (3034749)Time elapsed: 0.001 s
% 5.01/1.47 % (3034749)Peak memory usage: 87 MB
% 5.01/1.47 % (3034749)Instructions burned: 1 (million)
% 5.01/1.47 % (3034733)Also succeeded, but the first one will report.
% 5.01/1.47 % (3034753)lrs+10_64_to=lpo:sil=8000:random_seed=2416454006:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.01/1.47 % (3034747)------------------------------
% 5.01/1.47 % (3034747)------------------------------
% 5.01/1.47 % (3034753)Instruction limit reached!
% 5.01/1.47 % (3034753)------------------------------
% 5.01/1.47 % (3034753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.47 % (3034753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.47 % (3034753)CaDiCaL version: 2.1.3
% 5.01/1.47 % (3034753)Termination reason: Instruction limit
% 5.01/1.47 % (3034753)Termination phase: Saturation
% 5.01/1.47 % (3034753)Time elapsed: 0.074 s
% 5.01/1.47 % (3034753)Peak memory usage: 88 MB
% 5.01/1.47 % (3034753)Instructions burned: 127 (million)
% 5.01/1.47 % (3034748)Refutation found. Thanks to Tanya!
% 5.01/1.47 % SZS status Unsatisfiable for theBenchmark
% 5.01/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 5.01/1.47 % (3034748)------------------------------
% 5.01/1.47 % (3034748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.01/1.47 % (3034748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.47 % (3034748)CaDiCaL version: 2.1.3
% 5.01/1.47 % (3034748)Termination reason: Refutation
% 5.01/1.47 % (3034748)Time elapsed: 0.008 s
% 5.01/1.47 % (3034748)Peak memory usage: 88 MB
% 5.01/1.47 % (3034748)Instructions burned: 10 (million)
% 5.01/1.47 % (3034748)------------------------------
% 5.01/1.47 % (3034748)------------------------------
% 5.01/1.47 % (3034728)Success in time 0.63 s
% 5.01/1.47 % Vampire exiting
%------------------------------------------------------------------------------