%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC046-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:02:11 PM UTC 2026
% Result : Unsatisfiable 3.77s 1.41s
% Output : Refutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 60 ( 17 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 34 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f107,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f149,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f210,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk3,X0)
| memberP(sk4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f221,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f238,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f221]) ).
fof(f285,plain,
nil = sk4,
inference(forward_demodulation,[],[f205,f204]) ).
fof(f287,plain,
nil != sk3,
inference(forward_demodulation,[],[f207,f206]) ).
fof(f289,plain,
! [X0] :
( memberP(nil,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_demodulation,[],[f210,f285]) ).
fof(f294,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(resolution,[],[f71,f289]) ).
fof(f295,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f294]) ).
fof(f322,plain,
! [X0] :
( memberP(X0,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(superposition,[],[f238,f107]) ).
fof(f327,plain,
! [X0] :
( memberP(X0,hd(X0))
| ~ ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f322,f76]) ).
fof(f331,plain,
! [X0] :
( memberP(X0,hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f327,f75]) ).
fof(f1401,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ ssItem(hd(sk3)) ),
inference(resolution,[],[f331,f295]) ).
fof(f1437,plain,
( ~ ssList(sk3)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f1401,f76]) ).
fof(f1450,plain,
nil = sk3,
inference(forward_subsumption_resolution,[],[f1437,f202]) ).
fof(f1451,plain,
$false,
inference(forward_subsumption_resolution,[],[f1450,f287]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC046-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:40:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.77/1.40 % (3457661)Input is clausal, will run a generic CNF schedule.
% 3.77/1.40 % (3457670)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3346000245:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.77/1.40 % (3457670)Instruction limit reached!
% 3.77/1.40 % (3457670)------------------------------
% 3.77/1.40 % (3457670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.40 % (3457670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.40 % (3457670)CaDiCaL version: 2.1.3
% 3.77/1.40 % (3457670)Termination reason: Instruction limit
% 3.77/1.40 % (3457670)Termination phase: Saturation
% 3.77/1.40 % (3457670)Time elapsed: 0.030 s
% 3.77/1.40 % (3457670)Peak memory usage: 88 MB
% 3.77/1.40 % (3457670)Instructions burned: 116 (million)
% 3.77/1.40 % (3457672)dis-21_1_sil=8000:lcm=predicate:random_seed=3367888065: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)
% 3.77/1.40 % (3457667)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=820738391:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.77/1.41 % (3457668)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1826213237:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.77/1.41 % (3457666)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=1314991615:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.77/1.41 % (3457669)lrs+10_1_sil=8000:sp=occurrence:random_seed=2542821952:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.77/1.41 % (3457671)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3902627003:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.77/1.41 % (3457672)Instruction limit reached!
% 3.77/1.41 % (3457672)------------------------------
% 3.77/1.41 % (3457672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.41 % (3457672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.41 % (3457672)CaDiCaL version: 2.1.3
% 3.77/1.41 % (3457672)Termination reason: Instruction limit
% 3.77/1.41 % (3457672)Termination phase: Saturation
% 3.77/1.41 % (3457672)Time elapsed: 0.045 s
% 3.77/1.41 % (3457672)Peak memory usage: 89 MB
% 3.77/1.41 % (3457672)Instructions burned: 118 (million)
% 3.77/1.41 % (3457671)First to succeed.
% 3.77/1.41 % (3457671)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3457661"
% 3.77/1.41 % (3457669)Instruction limit reached!
% 3.77/1.41 % (3457669)------------------------------
% 3.77/1.41 % (3457669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.41 % (3457669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.41 % (3457669)CaDiCaL version: 2.1.3
% 3.77/1.41 % (3457669)Termination reason: Instruction limit
% 3.77/1.41 % (3457669)Termination phase: Saturation
% 3.77/1.41 % (3457669)Time elapsed: 0.068 s
% 3.77/1.41 % (3457669)Peak memory usage: 89 MB
% 3.77/1.41 % (3457669)Instructions burned: 108 (million)
% 3.77/1.41 % (3457674)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=3318033271:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.77/1.41 % (3457674)Refutation not found, incomplete strategy
% 3.77/1.41 % (3457674)------------------------------
% 3.77/1.41 % (3457674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.41 % (3457674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.41 % (3457674)CaDiCaL version: 2.1.3
% 3.77/1.41 % (3457674)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.41 % (3457674)Time elapsed: 0.001 s
% 3.77/1.41 % (3457674)Peak memory usage: 88 MB
% 3.77/1.41 % (3457674)Instructions burned: 2 (million)
% 3.77/1.41 % (3457681)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3442599499:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 3.77/1.41 % (3457683)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=804729178:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.77/1.41 % (3457683)Refutation not found, incomplete strategy
% 3.77/1.41 % (3457683)------------------------------
% 3.77/1.41 % (3457683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.41 % (3457683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.41 % (3457683)CaDiCaL version: 2.1.3
% 3.77/1.41 % (3457683)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.41 % (3457683)Time elapsed: 0.002 s
% 3.77/1.41 % (3457683)Peak memory usage: 88 MB
% 3.77/1.41 % (3457683)Instructions burned: 2 (million)
% 3.77/1.41 % (3457674)------------------------------
% 3.77/1.41 % (3457674)------------------------------
% 3.77/1.41 % (3457681)Instruction limit reached!
% 3.77/1.41 % (3457681)------------------------------
% 3.77/1.41 % (3457681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.41 % (3457681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.41 % (3457681)CaDiCaL version: 2.1.3
% 3.77/1.41 % (3457681)Termination reason: Instruction limit
% 3.77/1.41 % (3457681)Termination phase: Saturation
% 3.77/1.41 % (3457681)Time elapsed: 0.102 s
% 3.77/1.41 % (3457681)Peak memory usage: 90 MB
% 3.77/1.41 % (3457681)Instructions burned: 191 (million)
% 3.77/1.41 % (3457671)Refutation found. Thanks to Tanya!
% 3.77/1.41 % SZS status Unsatisfiable for theBenchmark
% 3.77/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 3.77/1.41 % (3457671)------------------------------
% 3.77/1.41 % (3457671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.41 % (3457671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.41 % (3457671)CaDiCaL version: 2.1.3
% 3.77/1.41 % (3457671)Termination reason: Refutation
% 3.77/1.41 % (3457671)Time elapsed: 0.035 s
% 3.77/1.41 % (3457671)Peak memory usage: 89 MB
% 3.77/1.41 % (3457671)Instructions burned: 49 (million)
% 3.77/1.41 % (3457671)------------------------------
% 3.77/1.41 % (3457671)------------------------------
% 3.77/1.41 % (3457661)Success in time 0.461 s
% 3.77/1.41 % Vampire exiting
%------------------------------------------------------------------------------