%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COL058-3 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:12:10 PM UTC 2026
% Result : Unsatisfiable 1.13s 1.63s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 7 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lark_exists,axiom,
response(response(lark,X1),X2) = response(X1,response(X2,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lark_exists) ).
cnf(prove_the_bird_exists,negated_conjecture,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_the_bird_exists) ).
cnf(c_0_2,axiom,
response(response(lark,X1),X2) = response(X1,response(X2,X2)),
lark_exists ).
cnf(c_0_3,plain,
response(X1,response(response(lark,response(X2,X2)),X2)) = response(response(lark,X1),response(X2,X2)),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,negated_conjecture,
response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))) != response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),
prove_the_bird_exists ).
cnf(c_0_5,plain,
response(X1,response(response(response(lark,lark),X2),X2)) = response(response(lark,X1),response(X2,X2)),
inference(spm,[status(thm)],[c_0_3,c_0_2]) ).
cnf(c_0_6,plain,
response(response(response(lark,lark),X1),X2) = response(response(X1,X1),response(X2,X2)),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_5]),c_0_6]),c_0_2]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : COL058-3 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.07/0.25 % Computer : n012.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Mon May 4 16:14:46 EDT 2026
% 0.07/0.25 % CPUTime :
% 0.07/0.26 % start to proof: theBenchmark
% 1.13/1.63 % Version : CSE_E---1.7
% 1.13/1.63 % Problem : theBenchmark.p
% 1.13/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/1.63 % SZS output start CNFRefutation
% See solution above
% 1.13/1.63 % Total time : 1.363s
%------------------------------------------------------------------------------