%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n014.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 09:37:45 AM UTC 2026
% Result : Unsatisfiable 3.57s 1.18s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 17 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 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 : 13 ( 13 !; 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] : response(a,response(b,X0)) = response(c,X0),
inference(superposition,[],[f1,f6]) ).
fof(f8,plain,
! [X0] : response(c,common_bird(X0)) = response(X0,common_bird(X0)),
inference(resolution,[],[f2,f4]) ).
fof(f10,plain,
! [X0,X1] : response(X0,response(X1,common_bird(compose(X0,X1)))) = response(c,common_bird(compose(X0,X1))),
inference(superposition,[],[f1,f8]) ).
fof(f19,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,[],[f3,f10]) ).
fof(f24,plain,
( response(c,common_bird(compose(compatible(a),b))) != response(c,common_bird(compose(compatible(a),b)))
| agreeable(a) ),
inference(superposition,[],[f19,f7]) ).
fof(f25,plain,
agreeable(a),
inference(trivial_inequality_removal,[],[f24]) ).
fof(f26,plain,
$false,
inference(forward_subsumption_resolution,[],[f25,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL052-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n014.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 21:31:00 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.57/1.18 % (2208602)Input is clausal, will run a generic CNF schedule.
% 3.57/1.18 % (2208679)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3871400447:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.57/1.18 % (2208676)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=2136048105:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.57/1.18 % (2208677)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3612437905:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.57/1.18 % (2208680)lrs+10_1_sil=8000:sp=occurrence:random_seed=389983785:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.57/1.18 % (2208681)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4215331923:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.57/1.18 % (2208683)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2469393517:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.57/1.18 % (2208680)First to succeed.
% 3.57/1.18 % (2208681)Refutation not found, incomplete strategy
% 3.57/1.18 % (2208681)------------------------------
% 3.57/1.18 % (2208681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.18 % (2208681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.18 % (2208681)CaDiCaL version: 2.1.3
% 3.57/1.18 % (2208681)Termination reason: Refutation not found, incomplete strategy
% 3.57/1.18 % (2208681)Time elapsed: 0.001 s
% 3.57/1.18 % (2208681)Peak memory usage: 88 MB
% 3.57/1.18 % (2208680)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2208602"
% 3.57/1.18 % (2208683)Also succeeded, but the first one will report.
% 3.57/1.18 % (2208684)dis-21_1_sil=8000:lcm=predicate:random_seed=60547885: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)
% 3.57/1.18 % (2208684)Refutation not found, incomplete strategy
% 3.57/1.18 % (2208684)------------------------------
% 3.57/1.18 % (2208684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.18 % (2208684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.18 % (2208684)CaDiCaL version: 2.1.3
% 3.57/1.18 % (2208684)Termination reason: Refutation not found, incomplete strategy
% 3.57/1.18 % (2208684)Time elapsed: 0.001 s
% 3.57/1.18 % (2208684)Peak memory usage: 88 MB
% 3.57/1.18 % (2208680)Refutation found. Thanks to Tanya!
% 3.57/1.18 % SZS status Unsatisfiable for theBenchmark
% 3.57/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.19 % (2208680)------------------------------
% 3.57/1.19 % (2208680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.19 % (2208680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.19 % (2208680)CaDiCaL version: 2.1.3
% 3.57/1.19 % (2208680)Termination reason: Refutation
% 3.57/1.19 % (2208680)Time elapsed: 0.003 s
% 3.57/1.19 % (2208680)Peak memory usage: 88 MB
% 3.57/1.19 % (2208680)Instructions burned: 2 (million)
% 3.57/1.19 % (2208680)------------------------------
% 3.57/1.19 % (2208680)------------------------------
% 3.57/1.19 % (2208602)Success in time 0.435 s
% 3.57/1.19 % Vampire exiting
%------------------------------------------------------------------------------