%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : COL052-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 : Sun Sep 27 06:57:32 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 17 unt; 0 def)
% Number of atoms : 27 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 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 : 25 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(composer_exists,axiom,
! [VAR_0,VAR_1,VAR_2] : response(compose(VAR_0,VAR_1),VAR_2) = response(VAR_0,response(VAR_1,VAR_2)),
file('theBenchmark.p',composer_exists) ).
cnf(c_1,plain,
response(compose(A,B),C) = response(A,response(B,C)),
inference(clausify,[status(thm)],[composer_exists]) ).
fof(agreeable1,axiom,
! [VAR_0,VAR_1] :
( response(VAR_0,common_bird(VAR_1)) = response(VAR_1,common_bird(VAR_1))
| ~ agreeable(VAR_0) ),
file('theBenchmark.p',agreeable1) ).
cnf(c_2,plain,
( response(A,common_bird(B)) = response(B,common_bird(B))
| ~ agreeable(A) ),
inference(clausify,[status(thm)],[agreeable1]) ).
fof(agreeable2,axiom,
! [VAR_0,VAR_1] :
( agreeable(VAR_0)
| response(VAR_0,VAR_1) != response(compatible(VAR_0),VAR_1) ),
file('theBenchmark.p',agreeable2) ).
cnf(c_3,plain,
( agreeable(A)
| response(A,B) != response(compatible(A),B) ),
inference(clausify,[status(thm)],[agreeable2]) ).
cnf(c_4,plain,
( agreeable(A)
| response(compatible(A),B) != response(A,B) ),
inference(copy,[status(thm)],[c_3]) ).
fof(c_is_agreeable,axiom,
agreeable(c),
file('theBenchmark.p',c_is_agreeable) ).
cnf(c_5,plain,
agreeable(c),
inference(clausify,[status(thm)],[c_is_agreeable]) ).
fof(prove_a_is_agreeable,axiom,
~ agreeable(a),
file('theBenchmark.p',prove_a_is_agreeable) ).
cnf(c_6,plain,
~ agreeable(a),
inference(clausify,[status(thm)],[prove_a_is_agreeable]) ).
fof(c_composes_a_with_b,axiom,
c = compose(a,b),
file('theBenchmark.p',c_composes_a_with_b) ).
cnf(c_7,plain,
c = compose(a,b),
inference(clausify,[status(thm)],[c_composes_a_with_b]) ).
cnf(c_8,plain,
compose(a,b) = c,
inference(copy,[status(thm)],[c_7]) ).
cnf(c_10,plain,
response(c,common_bird(A)) = response(A,common_bird(A)),
inference(resolve,[status(thm)],[c_2,c_5]) ).
cnf(c_11,plain,
response(compatible(a),A) != response(a,A),
inference(resolve,[status(thm)],[c_4,c_6]) ).
cnf(c_34,plain,
response(c,A) = response(a,response(b,A)),
inference(paramod,[status(thm)],[c_8,c_1]) ).
cnf(c_12,plain,
response(a,response(b,A)) = response(c,A),
inference(copy,[status(thm)],[c_34]) ).
cnf(c_20,plain,
response(c,common_bird(compose(A,B))) = response(A,response(B,common_bird(compose(A,B)))),
inference(paramod,[status(thm)],[c_10,c_1]) ).
cnf(c_32,plain,
response(compatible(a),response(b,A)) != response(c,A),
inference(paramod,[status(thm)],[c_12,c_11]) ).
cnf(c_35,plain,
response(A,response(B,common_bird(compose(A,B)))) = response(c,common_bird(compose(A,B))),
inference(copy,[status(thm)],[c_20]) ).
cnf(c_33,plain,
$false,
inference(resolve,[status(thm)],[c_32,c_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL052-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 23:09:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 2454503 was started by sandbox on n019,
% 0.09/0.38 % Sat Sep 26 23:09:20 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/0.38
% 0.15/0.38 % From the command line: assign(max_seconds, 300).
% 0.15/0.39
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39
% 0.15/0.39 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.15/0.39 % Length of proof is 14.
% 0.15/0.39 % Level of proof is 4.
% 0.15/0.39 % Maximum clause weight is 15.000.
% 0.15/0.39 % Given clauses 13.
% 0.15/0.39
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------