%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL098-2 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:37:57 AM UTC 2026
% Result : Unsatisfiable 5.95s 1.95s
% Output : Refutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 38 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,axiom,
! [X2,X0,X1] :
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r_into_trancl) ).
fof(f164,axiom,
! [X0] : trans(trancl(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_trancl) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ member(pair(X2,X3),X0)
| ~ member(pair(X1,X2),X0)
| ~ trans(X0)
| member(pair(X1,X3),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transD) ).
fof(f166,axiom,
! [X2,X0,X1] :
( member(pair(X1,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h1) ).
fof(f167,axiom,
! [X2,X0,X1] :
( member(pair(X2,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h2) ).
fof(f169,axiom,
member(pair(y,z),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h4) ).
fof(f170,axiom,
! [X0] :
( member(pair(X0,sk2(X0)),trancl(r))
| ~ member(pair(x,X0),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h5) ).
fof(f171,axiom,
! [X0] :
( member(pair(y,sk2(X0)),r)
| ~ member(pair(x,X0),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h6) ).
fof(f172,negated_conjecture,
member(pair(x,sk3),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c1) ).
fof(f173,negated_conjecture,
! [X0] :
( ~ member(pair(sk3,X0),trancl(r))
| ~ member(pair(z,X0),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c2) ).
fof(f181,plain,
! [X2,X3,X0,X1] :
( ~ member(pair(X0,X1),trancl(X2))
| ~ trans(trancl(X2))
| member(pair(X0,X3),trancl(X2))
| ~ member(pair(X1,X3),X2) ),
inference(resolution,[],[f165,f163]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( ~ member(pair(X0,X1),trancl(X2))
| member(pair(X0,X3),trancl(X2))
| ~ member(pair(X1,X3),X2) ),
inference(forward_subsumption_resolution,[],[f181,f164]) ).
fof(f214,plain,
! [X0,X1] :
( ~ member(pair(sk2(X0),X1),r)
| member(pair(X0,X1),trancl(r))
| ~ member(pair(x,X0),r) ),
inference(resolution,[],[f184,f170]) ).
fof(f276,plain,
! [X2,X0,X1] :
( member(pair(X0,sk1(X1,sk2(X0),X2)),trancl(r))
| ~ member(pair(x,X0),r)
| ~ member(pair(X1,X2),r)
| ~ member(pair(X1,sk2(X0)),r) ),
inference(resolution,[],[f214,f166]) ).
fof(f675,plain,
! [X0,X1] :
( ~ member(pair(x,sk3),r)
| ~ member(pair(X0,X1),r)
| ~ member(pair(X0,sk2(sk3)),r)
| ~ member(pair(z,sk1(X0,sk2(sk3),X1)),r) ),
inference(resolution,[],[f276,f173]) ).
fof(f688,plain,
! [X0,X1] :
( ~ member(pair(z,sk1(X0,sk2(sk3),X1)),r)
| ~ member(pair(X0,sk2(sk3)),r)
| ~ member(pair(X0,X1),r) ),
inference(forward_subsumption_resolution,[],[f675,f172]) ).
fof(f795,plain,
! [X0] :
( ~ member(pair(X0,sk2(sk3)),r)
| ~ member(pair(X0,z),r)
| ~ member(pair(X0,z),r)
| ~ member(pair(X0,sk2(sk3)),r) ),
inference(resolution,[],[f688,f167]) ).
fof(f796,plain,
! [X0] :
( ~ member(pair(X0,sk2(sk3)),r)
| ~ member(pair(X0,z),r) ),
inference(duplicate_literal_removal,[],[f795]) ).
fof(f797,plain,
( ~ member(pair(y,z),r)
| ~ member(pair(x,sk3),r) ),
inference(resolution,[],[f796,f171]) ).
fof(f798,plain,
~ member(pair(x,sk3),r),
inference(forward_subsumption_resolution,[],[f797,f169]) ).
fof(f799,plain,
$false,
inference(forward_subsumption_resolution,[],[f798,f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL098-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n018.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 21:37:10 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.28 Running first-order theorem proving
% 0.25/0.28 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
% 5.95/1.95 % (3816788)Input is clausal, will run a generic CNF schedule.
% 5.95/1.95 % (3816795)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=982625112:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.95/1.95 % (3816796)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1092361159:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.95/1.95 % (3816798)lrs+10_1_sil=8000:sp=occurrence:random_seed=2630022323:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.95/1.95 % (3816799)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1945300191:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.95/1.95 % (3816801)dis-21_1_sil=8000:lcm=predicate:random_seed=2613277241: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)
% 5.95/1.95 % (3816797)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1683748285:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.95/1.95 % (3816799)Refutation not found, incomplete strategy
% 5.95/1.95 % (3816799)------------------------------
% 5.95/1.95 % (3816799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.95 % (3816799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.95 % (3816799)CaDiCaL version: 2.1.3
% 5.95/1.95 % (3816799)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.95 % (3816799)Time elapsed: 0.004 s
% 5.95/1.95 % (3816799)Peak memory usage: 88 MB
% 5.95/1.95 % (3816799)Instructions burned: 2 (million)
% 5.95/1.95 % (3816800)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1538613808:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.95/1.95 % (3816798)First to succeed.
% 5.95/1.95 % (3816798)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3816788"
% 5.95/1.95 % (3816801)Instruction limit reached!
% 5.95/1.95 % (3816801)------------------------------
% 5.95/1.95 % (3816801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.95 % (3816801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.95 % (3816801)CaDiCaL version: 2.1.3
% 5.95/1.95 % (3816801)Termination reason: Instruction limit
% 5.95/1.95 % (3816801)Termination phase: Saturation
% 5.95/1.95 % (3816801)Time elapsed: 0.124 s
% 5.95/1.95 % (3816801)Peak memory usage: 89 MB
% 5.95/1.95 % (3816801)Instructions burned: 118 (million)
% 5.95/1.95 % (3816800)Instruction limit reached!
% 5.95/1.95 % (3816800)------------------------------
% 5.95/1.95 % (3816800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.95 % (3816800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.95 % (3816800)CaDiCaL version: 2.1.3
% 5.95/1.95 % (3816800)Termination reason: Instruction limit
% 5.95/1.95 % (3816800)Termination phase: Saturation
% 5.95/1.95 % (3816800)Time elapsed: 0.192 s
% 5.95/1.95 % (3816800)Peak memory usage: 90 MB
% 5.95/1.95 % (3816800)Instructions burned: 180 (million)
% 5.95/1.95 % (3816799)------------------------------
% 5.95/1.95 % (3816799)------------------------------
% 5.95/1.95 % (3816798)Refutation found. Thanks to Tanya!
% 5.95/1.95 % SZS status Unsatisfiable for theBenchmark
% 5.95/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 5.95/1.95 % (3816798)------------------------------
% 5.95/1.95 % (3816798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.95 % (3816798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.95 % (3816798)CaDiCaL version: 2.1.3
% 5.95/1.95 % (3816798)Termination reason: Refutation
% 5.95/1.95 % (3816798)Time elapsed: 0.036 s
% 5.95/1.95 % (3816798)Peak memory usage: 88 MB
% 5.95/1.95 % (3816798)Instructions burned: 34 (million)
% 5.95/1.95 % (3816798)------------------------------
% 5.95/1.95 % (3816798)------------------------------
% 5.95/1.95 % (3816788)Success in time 0.698 s
% 5.95/1.95 % Vampire exiting
%------------------------------------------------------------------------------