%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL052-2 : 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 : n001.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 09:38:17 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 23 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composer_exists) ).
fof(f2,axiom,
! [X0,X1] :
( ~ agreeable(X0)
| response(X0,common_bird(X1)) = response(X1,common_bird(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agreeable1) ).
fof(f3,axiom,
! [X0,X1] :
( response(X0,X1) != response(compatible(X0),X1)
| agreeable(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agreeable2) ).
fof(f4,axiom,
agreeable(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_agreeable) ).
fof(f5,negated_conjecture,
~ agreeable(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_is_agreeable) ).
fof(f6,axiom,
c = compose(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_composes_a_with_b) ).
fof(f7,plain,
! [X0,X1] :
( agreeable(X0)
| response(X0,common_bird(X1)) = response(X1,common_bird(X1)) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f8,plain,
! [X0,X1] :
( response(X0,X1) != response(compatible(X0),X1)
| ~ agreeable(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f9,plain,
~ agreeable(c),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f10,plain,
agreeable(a),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f11,plain,
! [X0] : response(a,response(b,X0)) = response(c,X0),
inference(superposition,[],[f1,f6]) ).
fof(f12,plain,
! [X0] : response(c,common_bird(X0)) = response(X0,common_bird(X0)),
inference(resolution,[],[f7,f9]) ).
fof(f13,plain,
! [X0,X1] : response(X0,response(X1,common_bird(compose(X0,X1)))) = response(c,common_bird(compose(X0,X1))),
inference(superposition,[],[f12,f1]) ).
fof(f23,plain,
! [X0,X1] :
( response(c,common_bird(compose(compatible(X0),X1))) != response(X0,response(X1,common_bird(compose(compatible(X0),X1))))
| ~ agreeable(X0) ),
inference(superposition,[],[f8,f13]) ).
fof(f28,plain,
( response(c,common_bird(compose(compatible(a),b))) != response(c,common_bird(compose(compatible(a),b)))
| ~ agreeable(a) ),
inference(superposition,[],[f23,f11]) ).
fof(f29,plain,
~ agreeable(a),
inference(trivial_inequality_removal,[],[f28]) ).
fof(f30,plain,
$false,
inference(forward_subsumption_resolution,[],[f29,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL052-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n001.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 21:37:04 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.28 % (777305)Will run a generic schedule for satisfiability detection.
% 0.21/0.28 % (777323)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2099011476:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28 % (777319)% WARNING: option uhcvi not known.
% 0.21/0.28 % (777319)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3072892130:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.28 % (777318)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=46057237_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28 % (777320)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3697674207:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28 % (777324)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3784633856:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.28 % (777321)dis+10_1_sil=32000:sp=arity:random_seed=1822193657:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28 % TRYING [1]
% 0.21/0.28 % (777325)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3883701022:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28 % TRYING [2]
% 0.21/0.28 % TRYING [3]
% 0.21/0.28 % (777319) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-777305-777319"...
% 0.21/0.28 % (777324) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-777305-777324"...
% 0.21/0.28 % (777321) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-777305-777321"...
% 0.21/0.28 % (777323) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-777305-777323"...
% 0.21/0.28 % (777325) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-777305-777325"...
% 0.21/0.28 % (777320) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-777305-777320"...
% 0.21/0.28 % (777319)...printing done.
% 0.21/0.28 % (777324)...printing done.
% 0.21/0.28 % (777323)...printing done.
% 0.21/0.28 % (777321)...printing done.
% 0.21/0.28 % (777319)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (777319)------------------------------
% 0.21/0.28 % (777319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (777319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (777319)CaDiCaL version: 2.1.3
% 0.21/0.28 % (777319)Termination reason: Refutation
% 0.21/0.28 % (777319)Time elapsed: 0.003 s
% 0.21/0.28 % (777319)Peak memory usage: 11 MB
% 0.21/0.28 % (777319)Instructions burned: 3 (million)
% 0.21/0.28 % (777305)Success in time 0.039 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------