%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC372-1 : 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 : n015.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 01:03:41 PM UTC 2026
% Result : Unsatisfiable 0.20s 1.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 60 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 76 ( 40 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f212,negated_conjecture,
~ segmentP(sk2,sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f216,plain,
~ segmentP(sk4,sk3),
inference(definition_unfolding,[],[f212,f204,f205]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f755,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,app(X1,X2)))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(forward_subsumption_demodulation,[],[f222,f161]) ).
fof(f756,plain,
! [X2,X0,X1] :
( segmentP(app(X0,app(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,app(X1,X2)))
| ~ ssList(X2) ),
inference(forward_subsumption_demodulation,[],[f755,f161]) ).
fof(f768,plain,
! [X0] :
( segmentP(app(X0,sk4),sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(app(X0,sk4))
| ~ ssList(sk5) ),
inference(superposition,[],[f756,f208]) ).
fof(f780,plain,
! [X0] :
( segmentP(app(X0,sk4),sk3)
| ~ ssList(X0)
| ~ ssList(app(X0,sk4))
| ~ ssList(sk5) ),
inference(forward_subsumption_resolution,[],[f768,f202]) ).
fof(f785,plain,
! [X0] :
( segmentP(app(X0,sk4),sk3)
| ~ ssList(X0)
| ~ ssList(app(X0,sk4)) ),
inference(forward_subsumption_resolution,[],[f780,f206]) ).
fof(f985,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(sk4) ),
inference(superposition,[],[f785,f74]) ).
fof(f987,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(duplicate_literal_removal,[],[f985]) ).
fof(f990,plain,
( ~ ssList(nil)
| ~ ssList(sk4) ),
inference(forward_subsumption_resolution,[],[f987,f216]) ).
fof(f993,plain,
~ ssList(sk4),
inference(forward_subsumption_resolution,[],[f990,f8]) ).
fof(f994,plain,
$false,
inference(forward_subsumption_resolution,[],[f993,f203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC372-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:23:47 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 0.20/1.31 % (2495919)Input is clausal, will run a generic CNF schedule.
% 0.20/1.31 % (2495925)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3275358683:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.31 % (2495929)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2478405586:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.31 % (2495927)lrs+10_1_sil=8000:sp=occurrence:random_seed=1262217735:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.31 % (2495924)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=165478713:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.31 % (2495928)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2903718725:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.31 % (2495930)dis-21_1_sil=8000:lcm=predicate:random_seed=1576827688: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)
% 0.20/1.31 % (2495926)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3528895004:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.31 % (2495928)First to succeed.
% 0.20/1.31 % (2495928)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2495919"
% 0.20/1.31 % (2495927)Also succeeded, but the first one will report.
% 0.20/1.31 % (2495930)Instruction limit reached!
% 0.20/1.31 % (2495930)------------------------------
% 0.20/1.31 % (2495930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (2495930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (2495930)CaDiCaL version: 2.1.3
% 0.20/1.31 % (2495930)Termination reason: Instruction limit
% 0.20/1.31 % (2495930)Termination phase: Saturation
% 0.20/1.31 % (2495930)Time elapsed: 0.051 s
% 0.20/1.31 % (2495930)Peak memory usage: 89 MB
% 0.20/1.31 % (2495930)Instructions burned: 117 (million)
% 0.20/1.31 % (2495929)Also succeeded, but the first one will report.
% 0.20/1.31 % (2495938)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=2363757577:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.20/1.31 % (2495938)Also succeeded, but the first one will report.
% 0.20/1.31 % (2495928)Refutation found. Thanks to Tanya!
% 0.20/1.31 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.31 % (2495928)------------------------------
% 0.20/1.31 % (2495928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (2495928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (2495928)CaDiCaL version: 2.1.3
% 0.20/1.31 % (2495928)Termination reason: Refutation
% 0.20/1.31 % (2495928)Time elapsed: 0.033 s
% 0.20/1.31 % (2495928)Peak memory usage: 89 MB
% 0.20/1.31 % (2495928)Instructions burned: 55 (million)
% 0.20/1.31 % (2495928)------------------------------
% 0.20/1.31 % (2495928)------------------------------
% 0.20/1.31 % (2495919)Success in time 0.442 s
% 0.20/1.31 % Vampire exiting
%------------------------------------------------------------------------------