%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL099-2 : 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 : 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 09:38:28 AM UTC 2026
% Result : Unsatisfiable 0.85s 0.38s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 29 ~; 21 |; 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(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(f166,axiom,
! [X2,X3,X0,X1] :
( member(pair(X3,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),trancl(X0))
| ~ member(pair(X1,X2),trancl(X0))
| ~ member(pair(X1,X3),X0)
| ~ diamond(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).
fof(f167,axiom,
! [X2,X3,X0,X1] :
( member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ member(pair(X1,X3),X0)
| ~ diamond(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
fof(f168,axiom,
diamond(r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h1) ).
fof(f169,axiom,
member(pair(y,ya),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h2) ).
fof(f170,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c1) ).
fof(f171,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(f184,plain,
! [X0] :
( ~ member(pair(ya,X0),trancl(r))
| ~ member(pair(yp,X0),r) ),
inference(resolution,[],[f163,f171]) ).
fof(f204,plain,
! [X0,X1] :
( ~ member(pair(X0,X1),trancl(r))
| ~ member(pair(X0,ya),r)
| ~ diamond(r)
| ~ member(pair(yp,diamond_strip_lemmaD_sk1(X0,X1,ya,r)),r) ),
inference(resolution,[],[f166,f184]) ).
fof(f205,plain,
! [X0,X1] :
( ~ member(pair(yp,diamond_strip_lemmaD_sk1(X0,X1,ya,r)),r)
| ~ member(pair(X0,ya),r)
| ~ member(pair(X0,X1),trancl(r)) ),
inference(forward_subsumption_resolution,[],[f204,f168]) ).
fof(f207,plain,
! [X0] :
( ~ member(pair(X0,ya),r)
| ~ member(pair(X0,yp),trancl(r))
| ~ member(pair(X0,yp),trancl(r))
| ~ member(pair(X0,ya),r)
| ~ diamond(r) ),
inference(resolution,[],[f205,f167]) ).
fof(f208,plain,
! [X0] :
( ~ member(pair(X0,ya),r)
| ~ member(pair(X0,yp),trancl(r))
| ~ diamond(r) ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f209,plain,
! [X0] :
( ~ member(pair(X0,yp),trancl(r))
| ~ member(pair(X0,ya),r) ),
inference(forward_subsumption_resolution,[],[f208,f168]) ).
fof(f210,plain,
~ member(pair(y,ya),r),
inference(resolution,[],[f209,f170]) ).
fof(f212,plain,
$false,
inference(forward_subsumption_resolution,[],[f210,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL099-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n003.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 21:37:58 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.85/0.38 % (2055246)Will run a generic schedule for satisfiability detection.
% 0.85/0.38 % (2055252)% WARNING: option uhcvi not known.
% 0.85/0.38 % (2055252)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3294429524:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.85/0.38 % (2055251)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1848246504_2999 on theBenchmark for (2999ds/0Mi)
% 0.85/0.38 % (2055253)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2121194604:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.85/0.38 % (2055254)dis+10_1_sil=32000:sp=arity:random_seed=457382047:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.85/0.38 % (2055256)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1080824893:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.85/0.38 % (2055255)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1606500494:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.85/0.38 % (2055257)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3519824377:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.85/0.38 % TRYING [1]
% 0.85/0.38 % TRYING [2]
% 0.85/0.38 % TRYING [3]
% 0.85/0.38 % (2055254)Instruction limit reached!
% 0.85/0.38 % (2055254)------------------------------
% 0.85/0.38 % (2055254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.38 % (2055254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.38 % (2055254)CaDiCaL version: 2.1.3
% 0.85/0.38 % (2055254)Termination reason: Instruction limit
% 0.85/0.38 % (2055254)Termination phase: Saturation
% 0.85/0.38 % (2055254)Time elapsed: 0.064 s
% 0.85/0.38 % (2055254)Peak memory usage: 13 MB
% 0.85/0.38 % (2055254)Instructions burned: 104 (million)
% 0.85/0.38 % (2055255)Instruction limit reached!
% 0.85/0.38 % (2055255)------------------------------
% 0.85/0.38 % (2055255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.38 % (2055255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.38 % (2055255)CaDiCaL version: 2.1.3
% 0.85/0.38 % (2055255)Termination reason: Instruction limit
% 0.85/0.38 % (2055255)Termination phase: Saturation
% 0.85/0.38 % (2055255)Time elapsed: 0.070 s
% 0.85/0.38 % (2055255)Peak memory usage: 13 MB
% 0.85/0.38 % (2055255)Instructions burned: 117 (million)
% 0.85/0.38 % (2055257)Instruction limit reached!
% 0.85/0.38 % (2055257)------------------------------
% 0.85/0.38 % (2055257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.38 % (2055257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.38 % (2055257)CaDiCaL version: 2.1.3
% 0.85/0.38 % (2055257)Termination reason: Instruction limit
% 0.85/0.38 % (2055257)Termination phase: Saturation
% 0.85/0.38 % (2055257)Time elapsed: 0.075 s
% 0.85/0.38 % (2055257)Peak memory usage: 13 MB
% 0.85/0.38 % (2055257)Instructions burned: 160 (million)
% 0.85/0.38 % (2055256)Instruction limit reached!
% 0.85/0.38 % (2055256)------------------------------
% 0.85/0.38 % (2055256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.38 % (2055256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.38 % (2055256)CaDiCaL version: 2.1.3
% 0.85/0.38 % (2055256)Termination reason: Instruction limit
% 0.85/0.38 % (2055256)Termination phase: Saturation
% 0.85/0.38 % (2055256)Time elapsed: 0.080 s
% 0.85/0.38 % (2055256)Peak memory usage: 14 MB
% 0.85/0.38 % (2055256)Instructions burned: 132 (million)
% 0.85/0.38 % (2055265)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2942316531:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.85/0.38 % (2055266)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2238750295:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.85/0.38 % (2055267)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1002559364:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.85/0.38 % TRYING [1]
% 0.85/0.38 % TRYING [2]
% 0.85/0.38 % (2055267) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2055246-2055267"...
% 0.85/0.38 % (2055268)ott-21_1_sil=16000:fs=off:random_seed=3678312298:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.85/0.38 % (2055267)...printing done.
% 0.85/0.38 % (2055267)Refutation found. Thanks to Tanya!
% 0.85/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.85/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.85/0.38 % (2055267)------------------------------
% 0.85/0.38 % (2055267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.85/0.38 % (2055267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.38 % (2055267)CaDiCaL version: 2.1.3
% 0.85/0.38 % (2055267)Termination reason: Refutation
% 0.85/0.38 % (2055267)Time elapsed: 0.004 s
% 0.85/0.38 % (2055267)Peak memory usage: 13 MB
% 0.85/0.38 % (2055267)Instructions burned: 5 (million)
% 0.85/0.38 % (2055246)Success in time 0.139 s
% 0.85/0.38 % Vampire exiting
%------------------------------------------------------------------------------