%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL054-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:37:46 AM UTC 2026
% Result : Unsatisfiable 5.30s 1.72s
% Output : Refutation 5.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 7 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 5 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : response(mocking_bird,X0) = response(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mocking_bird_exists) ).
fof(f2,axiom,
! [X2,X0,X1] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composer_exists) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( response(a,X0) != X1
| response(b,X1) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_birds_are_compatible) ).
fof(f4,plain,
! [X0] : response(b,response(a,X0)) != X0,
inference(equality_resolution,[],[f3]) ).
fof(f6,plain,
! [X0,X1] : response(mocking_bird,compose(X0,X1)) = response(X0,response(X1,compose(X0,X1))),
inference(superposition,[],[f2,f1]) ).
fof(f11,plain,
! [X0] : response(X0,compose(a,X0)) != response(b,response(mocking_bird,compose(a,X0))),
inference(superposition,[],[f4,f6]) ).
fof(f13,plain,
! [X0,X1] : response(X0,response(X1,compose(a,compose(X0,X1)))) != response(b,response(mocking_bird,compose(a,compose(X0,X1)))),
inference(superposition,[],[f11,f2]) ).
fof(f16,plain,
$false,
inference(equality_resolution,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL054-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 % Computer : n016.cluster.edu
% 0.25/0.29 % Model : x86_64 x86_64
% 0.25/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.29 % Memory : 8046.5625MB
% 0.25/0.29 % OS : Linux 6.8.0-71-generic
% 0.25/0.29 % CPULimit : 300
% 0.25/0.29 % WCLimit : 300
% 0.25/0.29 % DateTime : Mon Sep 28 21:36:03 UTC 2026
% 0.25/0.29 % CPUTime :
% 0.25/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.34 Running first-order theorem proving
% 0.25/0.34 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.30/1.72 % (4049436)Input is clausal, will run a generic CNF schedule.
% 5.30/1.72 % (4049445)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3210700075:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.30/1.72 % (4049445)Refutation not found, incomplete strategy
% 5.30/1.72 % (4049445)------------------------------
% 5.30/1.72 % (4049445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.72 % (4049445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.72 % (4049445)CaDiCaL version: 2.1.3
% 5.30/1.72 % (4049445)Termination reason: Refutation not found, incomplete strategy
% 5.30/1.72 % (4049445)Time elapsed: 0.001 s
% 5.30/1.72 % (4049445)Peak memory usage: 88 MB
% 5.30/1.72 % (4049446)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=185477684:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.30/1.72 % (4049446)First to succeed.
% 5.30/1.72 % (4049446)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4049436"
% 5.30/1.72 % (4049441)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1934379882:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.30/1.72 % (4049443)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3738221074:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.30/1.72 % (4049442)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1184484776:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.30/1.72 % (4049444)lrs+10_1_sil=8000:sp=occurrence:random_seed=1347770258:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.30/1.72 % (4049444)Also succeeded, but the first one will report.
% 5.30/1.72 % (4049447)dis-21_1_sil=8000:lcm=predicate:random_seed=1883006835:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.30/1.72 % (4049447)Refutation not found, incomplete strategy
% 5.30/1.72 % (4049447)------------------------------
% 5.30/1.72 % (4049447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.72 % (4049447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.72 % (4049447)CaDiCaL version: 2.1.3
% 5.30/1.72 % (4049447)Termination reason: Refutation not found, incomplete strategy
% 5.30/1.72 % (4049447)Time elapsed: 0.002 s
% 5.30/1.72 % (4049447)Peak memory usage: 88 MB
% 5.30/1.72 % (4049445)------------------------------
% 5.30/1.72 % (4049445)------------------------------
% 5.30/1.72 % (4049446)Refutation found. Thanks to Tanya!
% 5.30/1.72 % SZS status Unsatisfiable for theBenchmark
% 5.30/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 5.30/1.72 % (4049446)------------------------------
% 5.30/1.72 % (4049446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.72 % (4049446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.72 % (4049446)CaDiCaL version: 2.1.3
% 5.30/1.72 % (4049446)Termination reason: Refutation
% 5.30/1.72 % (4049446)Time elapsed: 0.004 s
% 5.30/1.72 % (4049446)Peak memory usage: 88 MB
% 5.30/1.72 % (4049446)Instructions burned: 1 (million)
% 5.30/1.72 % (4049446)------------------------------
% 5.30/1.72 % (4049446)------------------------------
% 5.30/1.72 % (4049436)Success in time 0.625 s
% 5.30/1.72 % Vampire exiting
%------------------------------------------------------------------------------