%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC398-1 : 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 : n003.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 01:03:48 PM UTC 2026
% Result : Unsatisfiable 3.57s 1.17s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 32 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f212,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
memberP(sk1,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
~ memberP(sk2,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f218,plain,
memberP(sk3,sk6),
inference(definition_unfolding,[],[f213,f205]) ).
fof(f219,plain,
~ memberP(sk4,sk6),
inference(definition_unfolding,[],[f214,f204]) ).
fof(f286,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[],[f151,f208]) ).
fof(f291,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f286,f206]) ).
fof(f292,plain,
! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f291,f202]) ).
fof(f293,plain,
( ~ ssItem(sk6)
| ~ memberP(sk3,sk6) ),
inference(resolution,[],[f292,f219]) ).
fof(f294,plain,
~ memberP(sk3,sk6),
inference(forward_subsumption_resolution,[],[f293,f212]) ).
fof(f295,plain,
$false,
inference(forward_subsumption_resolution,[],[f294,f218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC398-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.16 % Computer : n003.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Mon Sep 28 09:29:12 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 3.57/1.17 % (1459429)Input is clausal, will run a generic CNF schedule.
% 3.57/1.17 % (1459435)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1679957918:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.57/1.17 % (1459434)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=3753607133:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.57/1.17 % (1459437)lrs+10_1_sil=8000:sp=occurrence:random_seed=4005248537:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.57/1.17 % (1459436)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3320016556:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.57/1.17 % (1459439)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2281434739:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.57/1.17 % (1459440)dis-21_1_sil=8000:lcm=predicate:random_seed=2040358191: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)
% 3.57/1.17 % (1459438)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3207391094:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.57/1.17 % (1459437)Also succeeded, but the first one will report.
% 3.57/1.17 % (1459438)First to succeed.
% 3.57/1.17 % (1459438)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1459429"
% 3.57/1.17 % (1459440)Instruction limit reached!
% 3.57/1.17 % (1459440)------------------------------
% 3.57/1.17 % (1459440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.17 % (1459440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.17 % (1459440)CaDiCaL version: 2.1.3
% 3.57/1.17 % (1459440)Termination reason: Instruction limit
% 3.57/1.17 % (1459440)Termination phase: Saturation
% 3.57/1.17 % (1459440)Time elapsed: 0.054 s
% 3.57/1.17 % (1459440)Peak memory usage: 89 MB
% 3.57/1.17 % (1459440)Instructions burned: 118 (million)
% 3.57/1.17 % (1459439)Instruction limit reached!
% 3.57/1.17 % (1459439)------------------------------
% 3.57/1.17 % (1459439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.17 % (1459439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.17 % (1459439)CaDiCaL version: 2.1.3
% 3.57/1.17 % (1459439)Termination reason: Instruction limit
% 3.57/1.17 % (1459439)Termination phase: Saturation
% 3.57/1.17 % (1459439)Time elapsed: 0.121 s
% 3.57/1.17 % (1459439)Peak memory usage: 90 MB
% 3.57/1.17 % (1459439)Instructions burned: 181 (million)
% 3.57/1.17 % (1459448)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=2652477876:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.57/1.17 % (1459448)Also succeeded, but the first one will report.
% 3.57/1.17 % (1459438)Refutation found. Thanks to Tanya!
% 3.57/1.17 % SZS status Unsatisfiable for theBenchmark
% 3.57/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.17 % (1459438)------------------------------
% 3.57/1.17 % (1459438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.17 % (1459438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.17 % (1459438)CaDiCaL version: 2.1.3
% 3.57/1.17 % (1459438)Termination reason: Refutation
% 3.57/1.17 % (1459438)Time elapsed: 0.005 s
% 3.57/1.17 % (1459438)Peak memory usage: 88 MB
% 3.57/1.17 % (1459438)Instructions burned: 5 (million)
% 3.57/1.17 % (1459438)------------------------------
% 3.57/1.17 % (1459438)------------------------------
% 3.57/1.17 % (1459429)Success in time 0.434 s
% 3.57/1.17 % Vampire exiting
%------------------------------------------------------------------------------