%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL099-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:38:28 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.23s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X0,X1] :
( ~ member(pair(X0,X1),X2)
| member(pair(X0,X1),trancl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r_into_trancl) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ diamond(X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ member(pair(X1,X3),X0)
| member(pair(X3,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),trancl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ diamond(X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ member(pair(X1,X3),X0)
| member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
fof(f12,axiom,
diamond(r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h1) ).
fof(f13,axiom,
member(pair(y,ya),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h2) ).
fof(f14,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c1) ).
fof(f15,negated_conjecture,
! [X0] :
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(ya,X0),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c2) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ member(pair(X0,X1),trancl(r))
| ~ member(pair(X0,X2),r)
| member(pair(X1,diamond_strip_lemmaD_sk1(X0,X1,X2,r)),r) ),
inference(resolution,[],[f11,f12]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ member(pair(X0,X1),trancl(r))
| ~ member(pair(X0,X2),r)
| member(pair(X2,diamond_strip_lemmaD_sk1(X0,X1,X2,r)),trancl(r)) ),
inference(resolution,[],[f10,f12]) ).
fof(f40,plain,
! [X0] :
( ~ member(pair(y,X0),r)
| member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,X0,r)),r) ),
inference(resolution,[],[f24,f14]) ).
fof(f44,plain,
! [X0] :
( ~ member(pair(y,X0),r)
| member(pair(X0,diamond_strip_lemmaD_sk1(y,yp,X0,r)),trancl(r)) ),
inference(resolution,[],[f26,f14]) ).
fof(f46,plain,
member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),r),
inference(resolution,[],[f40,f13]) ).
fof(f47,plain,
member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
inference(resolution,[],[f46,f7]) ).
fof(f48,plain,
member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
inference(resolution,[],[f44,f13]) ).
fof(f56,plain,
~ member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
inference(resolution,[],[f47,f15]) ).
fof(f61,plain,
$false,
inference(forward_subsumption_resolution,[],[f56,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL099-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.16 % Computer : n012.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Mon Sep 28 21:34:34 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19 Running first-order model finding
% 0.11/0.19 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.23 % (3806439)Will run a generic schedule for satisfiability detection.
% 0.11/0.23 % (3806445)% WARNING: option uhcvi not known.
% 0.11/0.23 % (3806450)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4079258647:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.11/0.23 % (3806445)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2859897654:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.11/0.23 % (3806444)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4135732552_3000 on theBenchmark for (3000ds/0Mi)
% 0.11/0.23 % (3806447)dis+10_1_sil=32000:sp=arity:random_seed=867758753:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.11/0.23 % (3806449)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2317750313:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.11/0.23 % (3806446)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=940210280:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.11/0.23 % (3806448)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2522157918:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.11/0.23 % TRYING [1]
% 0.11/0.23 % TRYING [2]
% 0.11/0.23 % (3806449) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3806439-3806449"...
% 0.11/0.23 % TRYING [3]
% 0.11/0.23 % (3806450) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3806439-3806450"...
% 0.11/0.23 % (3806448) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3806439-3806448"...
% 0.11/0.23 % (3806447) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3806439-3806447"...
% 0.11/0.23 % (3806449)...printing done.
% 0.11/0.23 % (3806450)...printing done.
% 0.11/0.23 % (3806448)...printing done.
% 0.11/0.23 % (3806447)...printing done.
% 0.11/0.23 % (3806449)Refutation found. Thanks to Tanya!
% 0.11/0.23 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.23 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.23 % (3806449)------------------------------
% 0.11/0.23 % (3806449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.23 % (3806449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.23 % (3806449)CaDiCaL version: 2.1.3
% 0.11/0.23 % (3806449)Termination reason: Refutation
% 0.11/0.23 % (3806449)Time elapsed: 0.003 s
% 0.11/0.23 % (3806449)Peak memory usage: 11 MB
% 0.11/0.23 % (3806449)Instructions burned: 3 (million)
% 0.11/0.23 % (3806439)Success in time 0.033 s
% 0.11/0.23 % Vampire exiting
%------------------------------------------------------------------------------