%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC130-1 : 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 : 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 01:02:35 PM UTC 2026
% Result : Unsatisfiable 3.46s 1.37s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 23 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f206,negated_conjecture,
~ neq(sk4,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ cyclefreeP(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f210,plain,
~ cyclefreeP(sk4),
inference(definition_unfolding,[],[f207,f204]) ).
fof(f231,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4 ),
inference(resolution,[],[f102,f206]) ).
fof(f234,plain,
( ~ ssList(nil)
| nil = sk4 ),
inference(forward_subsumption_resolution,[],[f231,f203]) ).
fof(f235,plain,
nil = sk4,
inference(forward_subsumption_resolution,[],[f234,f8]) ).
fof(f239,plain,
~ cyclefreeP(nil),
inference(superposition,[],[f210,f235]) ).
fof(f241,plain,
$false,
inference(forward_subsumption_resolution,[],[f239,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC130-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n009.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 08:03:16 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 3.46/1.37 % (2877509)Input is clausal, will run a generic CNF schedule.
% 3.46/1.37 % (2877516)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3134914192:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.46/1.37 % (2877515)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3042360413:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.46/1.37 % (2877517)lrs+10_1_sil=8000:sp=occurrence:random_seed=2358321406:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.46/1.37 % (2877518)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=311224786:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.46/1.37 % (2877520)dis-21_1_sil=8000:lcm=predicate:random_seed=2193479255: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)
% 3.46/1.37 % (2877514)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=2660356489:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.46/1.37 % (2877519)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1944618616:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.46/1.37 % (2877518)First to succeed.
% 3.46/1.37 % (2877518)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2877509"
% 3.46/1.37 % (2877517)Also succeeded, but the first one will report.
% 3.46/1.37 % (2877519)Also succeeded, but the first one will report.
% 3.46/1.37 % (2877520)Instruction limit reached!
% 3.46/1.37 % (2877520)------------------------------
% 3.46/1.37 % (2877520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.37 % (2877520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.37 % (2877520)CaDiCaL version: 2.1.3
% 3.46/1.37 % (2877520)Termination reason: Instruction limit
% 3.46/1.37 % (2877520)Termination phase: Saturation
% 3.46/1.37 % (2877520)Time elapsed: 0.050 s
% 3.46/1.37 % (2877520)Peak memory usage: 88 MB
% 3.46/1.37 % (2877520)Instructions burned: 118 (million)
% 3.46/1.37 % (2877528)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=198877675:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.46/1.37 % (2877528)Also succeeded, but the first one will report.
% 3.46/1.37 % (2877518)Refutation found. Thanks to Tanya!
% 3.46/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.46/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.37 % (2877518)------------------------------
% 3.46/1.37 % (2877518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.37 % (2877518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.37 % (2877518)CaDiCaL version: 2.1.3
% 3.46/1.37 % (2877518)Termination reason: Refutation
% 3.46/1.37 % (2877518)Time elapsed: 0.003 s
% 3.46/1.37 % (2877518)Peak memory usage: 89 MB
% 3.46/1.37 % (2877518)Instructions burned: 2 (million)
% 3.46/1.37 % (2877518)------------------------------
% 3.46/1.37 % (2877518)------------------------------
% 3.46/1.37 % (2877509)Success in time 0.421 s
% 3.46/1.37 % Vampire exiting
%------------------------------------------------------------------------------