%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL020-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:38:11 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f3,axiom,
! [X2,X0,X1] : apply(apply(apply(c,X0),X1),X2) = apply(apply(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_definition) ).
fof(f4,negated_conjecture,
! [X0] : X0 != apply(combinator,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f5,plain,
! [X0] : apply(combinator,X0) != X0,
inference(reorient_equations,[],[f4]) ).
fof(f14,plain,
! [X2,X0,X1] : apply(apply(apply(c,apply(b,X0)),X1),X2) = apply(X0,apply(X2,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f150,plain,
! [X0,X1] : apply(X1,X0) != apply(apply(apply(c,apply(b,combinator)),X0),X1),
inference(superposition,[],[f5,f14]) ).
fof(f185,plain,
! [X0,X1] : apply(apply(apply(s,apply(c,apply(b,combinator))),X0),X1) != apply(apply(X0,X1),X1),
inference(superposition,[],[f150,f1]) ).
fof(f271,plain,
$false,
inference(equality_resolution,[],[f185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL020-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:30:50 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.20/0.28 % (588346)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (588359)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=277098367:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.20/0.28 % (588356)% WARNING: option uhcvi not known.
% 0.20/0.28 % (588356)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=414005971:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.20/0.28 % (588355)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=281443383_3000 on theBenchmark for (3000ds/0Mi)
% 0.20/0.28 % (588357)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1701071316:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.20/0.28 % (588358)dis+10_1_sil=32000:sp=arity:random_seed=2813766999:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.20/0.28 % (588360)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3770650205:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.20/0.28 % (588361)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2413696475:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.20/0.28 % TRYING [1]
% 0.20/0.28 % TRYING [2]
% 0.20/0.28 % TRYING [3]
% 0.20/0.28 % TRYING [4]
% 0.20/0.28 % (588361) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-588346-588361"...
% 0.20/0.28 % (588361)...printing done.
% 0.20/0.28 % (588361)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (588361)------------------------------
% 0.20/0.28 % (588361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (588361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (588361)CaDiCaL version: 2.1.3
% 0.20/0.28 % (588361)Termination reason: Refutation
% 0.20/0.28 % (588361)Time elapsed: 0.015 s
% 0.20/0.28 % (588361)Peak memory usage: 12 MB
% 0.20/0.28 % (588361)Instructions burned: 24 (million)
% 0.20/0.28 % (588346)Success in time 0.041 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------