%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL100-1 : 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 : n004.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 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 32 ( 32 !; 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(f8,axiom,
! [X0] : trans(trancl(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_trancl) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ trans(X0)
| ~ member(pair(X1,X2),X0)
| ~ member(pair(X2,X3),X0)
| member(pair(X1,X3),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transD) ).
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_2h1) ).
fof(f14,axiom,
member(pair(ya,z),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h3) ).
fof(f15,axiom,
! [X0] :
( ~ member(pair(y,X0),trancl(r))
| member(pair(ya,sk1(X0)),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h4) ).
fof(f16,axiom,
! [X0] :
( ~ member(pair(y,X0),trancl(r))
| member(pair(X0,sk1(X0)),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h5) ).
fof(f17,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c1) ).
fof(f18,negated_conjecture,
! [X0] :
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(z,X0),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c2) ).
fof(f25,plain,
member(pair(ya,sk1(yp)),trancl(r)),
inference(resolution,[],[f15,f17]) ).
fof(f28,plain,
member(pair(yp,sk1(yp)),trancl(r)),
inference(resolution,[],[f16,f17]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( ~ member(pair(X0,X1),trancl(X2))
| ~ member(pair(X1,X3),trancl(X2))
| member(pair(X0,X3),trancl(X2)) ),
inference(resolution,[],[f9,f8]) ).
fof(f35,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(f37,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(f59,plain,
! [X0] :
( ~ member(pair(sk1(yp),X0),trancl(r))
| member(pair(yp,X0),trancl(r)) ),
inference(resolution,[],[f33,f28]) ).
fof(f66,plain,
! [X0] :
( ~ member(pair(ya,X0),r)
| member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),X0,r)),r) ),
inference(resolution,[],[f35,f25]) ).
fof(f74,plain,
! [X0] :
( ~ member(pair(ya,X0),r)
| member(pair(X0,diamond_strip_lemmaD_sk1(ya,sk1(yp),X0,r)),trancl(r)) ),
inference(resolution,[],[f37,f25]) ).
fof(f112,plain,
member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r),
inference(resolution,[],[f66,f14]) ).
fof(f115,plain,
member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference(resolution,[],[f74,f14]) ).
fof(f178,plain,
member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference(resolution,[],[f112,f7]) ).
fof(f271,plain,
member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference(resolution,[],[f178,f59]) ).
fof(f283,plain,
~ member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
inference(resolution,[],[f271,f18]) ).
fof(f288,plain,
$false,
inference(forward_subsumption_resolution,[],[f283,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL100-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n004.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 21:36:07 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.19/0.29 % (814756)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (814765)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3869762988:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (814762)% WARNING: option uhcvi not known.
% 0.19/0.29 % (814761)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1252385702_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (814762)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=921632579:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (814763)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2518155542:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (814764)dis+10_1_sil=32000:sp=arity:random_seed=3878169871:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (814766)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=861693460:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (814767)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2327600993:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % TRYING [1]
% 0.19/0.29 % TRYING [2]
% 0.19/0.29 % TRYING [3]
% 0.19/0.29 % TRYING [4]
% 0.19/0.29 % (814766) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-814756-814766"...
% 0.19/0.29 % (814766)...printing done.
% 0.19/0.29 % (814766)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (814766)------------------------------
% 0.19/0.29 % (814766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (814766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (814766)CaDiCaL version: 2.1.3
% 0.19/0.29 % (814766)Termination reason: Refutation
% 0.19/0.29 % (814766)Time elapsed: 0.010 s
% 0.19/0.29 % (814766)Peak memory usage: 11 MB
% 0.19/0.29 % (814766)Instructions burned: 16 (million)
% 0.19/0.29 % (814756)Success in time 0.047 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------