%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC181-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:02:49 PM UTC 2026
% Result : Unsatisfiable 3.45s 1.39s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 72 ( 5 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 96 ( 49 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f175,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f195,axiom,
! [X2,X3,X0,X1,X4,X5] :
( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(X5)
| ~ ssList(X5)
| lt(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f210,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f215,negated_conjecture,
~ duplicatefreeP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f219,plain,
~ duplicatefreeP(sk3),
inference(definition_unfolding,[],[f215,f205]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f195]) ).
fof(f760,plain,
( duplicatefreeP(sk3)
| sk3 = app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))) ),
inference(resolution,[],[f175,f202]) ).
fof(f783,plain,
sk3 = app(app(skaf75(sk3),cons(skaf74(sk3),skaf76(sk3))),cons(skaf74(sk3),skaf77(sk3))),
inference(forward_subsumption_resolution,[],[f760,f219]) ).
fof(f1074,plain,
( ~ ssList(sk3)
| ~ ssList(skaf76(sk3))
| ~ ssList(skaf75(sk3))
| ~ ssItem(skaf74(sk3))
| ~ ssItem(skaf74(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf77(sk3))
| lt(skaf74(sk3),skaf74(sk3)) ),
inference(superposition,[],[f222,f783]) ).
fof(f1084,plain,
( ~ ssList(sk3)
| ~ ssList(skaf76(sk3))
| ~ ssList(skaf75(sk3))
| ~ ssItem(skaf74(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf77(sk3))
| lt(skaf74(sk3),skaf74(sk3)) ),
inference(duplicate_literal_removal,[],[f1074]) ).
fof(f1105,plain,
( ~ ssList(skaf76(sk3))
| ~ ssList(skaf75(sk3))
| ~ ssItem(skaf74(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf77(sk3))
| lt(skaf74(sk3),skaf74(sk3)) ),
inference(forward_subsumption_resolution,[],[f1084,f202]) ).
fof(f1108,plain,
( ~ ssList(skaf75(sk3))
| ~ ssItem(skaf74(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf77(sk3))
| lt(skaf74(sk3),skaf74(sk3)) ),
inference(forward_subsumption_resolution,[],[f1105,f19]) ).
fof(f1114,plain,
( ~ ssItem(skaf74(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf77(sk3))
| lt(skaf74(sk3),skaf74(sk3)) ),
inference(forward_subsumption_resolution,[],[f1108,f20]) ).
fof(f1119,plain,
( ~ strictorderedP(sk3)
| ~ ssList(skaf77(sk3))
| lt(skaf74(sk3),skaf74(sk3)) ),
inference(forward_subsumption_resolution,[],[f1114,f21]) ).
fof(f1120,plain,
( ~ ssList(skaf77(sk3))
| lt(skaf74(sk3),skaf74(sk3)) ),
inference(forward_subsumption_resolution,[],[f1119,f210]) ).
fof(f1121,plain,
lt(skaf74(sk3),skaf74(sk3)),
inference(forward_subsumption_resolution,[],[f1120,f18]) ).
fof(f1167,plain,
~ ssItem(skaf74(sk3)),
inference(resolution,[],[f1121,f63]) ).
fof(f1177,plain,
$false,
inference(forward_subsumption_resolution,[],[f1167,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC181-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.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 08:20:04 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.45/1.39 % (638703)Input is clausal, will run a generic CNF schedule.
% 3.45/1.39 % (638708)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=692281550:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.45/1.39 % (638711)lrs+10_1_sil=8000:sp=occurrence:random_seed=4014644336:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.45/1.39 % (638709)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3274809310:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.45/1.39 % (638712)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=651400940:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.45/1.39 % (638714)dis-21_1_sil=8000:lcm=predicate:random_seed=1031609644: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)
% 3.45/1.39 % (638710)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2125194956:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.45/1.39 % (638713)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1845048629:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.45/1.39 % (638711)First to succeed.
% 3.45/1.39 % (638711)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-638703"
% 3.45/1.39 % (638714)Instruction limit reached!
% 3.45/1.39 % (638714)------------------------------
% 3.45/1.39 % (638714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.39 % (638714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.39 % (638714)CaDiCaL version: 2.1.3
% 3.45/1.39 % (638714)Termination reason: Instruction limit
% 3.45/1.39 % (638714)Termination phase: Saturation
% 3.45/1.39 % (638714)Time elapsed: 0.069 s
% 3.45/1.39 % (638714)Peak memory usage: 90 MB
% 3.45/1.39 % (638714)Instructions burned: 118 (million)
% 3.45/1.39 % (638712)Instruction limit reached!
% 3.45/1.39 % (638712)------------------------------
% 3.45/1.39 % (638712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.39 % (638712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.39 % (638712)CaDiCaL version: 2.1.3
% 3.45/1.39 % (638712)Termination reason: Instruction limit
% 3.45/1.39 % (638712)Termination phase: Saturation
% 3.45/1.39 % (638712)Time elapsed: 0.071 s
% 3.45/1.39 % (638712)Peak memory usage: 89 MB
% 3.45/1.39 % (638712)Instructions burned: 115 (million)
% 3.45/1.39 % (638713)Instruction limit reached!
% 3.45/1.39 % (638713)------------------------------
% 3.45/1.39 % (638713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.39 % (638713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.39 % (638713)CaDiCaL version: 2.1.3
% 3.45/1.39 % (638713)Termination reason: Instruction limit
% 3.45/1.39 % (638713)Termination phase: Saturation
% 3.45/1.39 % (638713)Time elapsed: 0.120 s
% 3.45/1.39 % (638713)Peak memory usage: 90 MB
% 3.45/1.39 % (638713)Instructions burned: 181 (million)
% 3.45/1.39 % (638722)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=1705707339:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.45/1.39 % (638723)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=691543045: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)
% 3.45/1.39 % (638724)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=422386880:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.45/1.39 % (638711)Refutation found. Thanks to Tanya!
% 3.45/1.39 % SZS status Unsatisfiable for theBenchmark
% 3.45/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.39 % (638711)------------------------------
% 3.45/1.39 % (638711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.39 % (638711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.39 % (638711)CaDiCaL version: 2.1.3
% 3.45/1.39 % (638711)Termination reason: Refutation
% 3.45/1.39 % (638711)Time elapsed: 0.020 s
% 3.45/1.39 % (638711)Peak memory usage: 89 MB
% 3.45/1.39 % (638711)Instructions burned: 30 (million)
% 3.45/1.39 % (638711)------------------------------
% 3.45/1.39 % (638711)------------------------------
% 3.45/1.39 % (638703)Success in time 0.426 s
% 3.45/1.39 % Vampire exiting
%------------------------------------------------------------------------------