%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COL058-1 : 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 : n008.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 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 9 ( 8 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 12 ( 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(X1,X1) != X1,
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,negated_conjecture,
response(X1,X1) != X1,
prove_the_bird_exists ).
cnf(c_0_4,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_5,negated_conjecture,
response(response(response(lark,lark),response(X1,X1)),response(X1,X1)) != response(response(lark,response(X1,X1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_4]) ).
cnf(c_0_6,negated_conjecture,
response(response(response(lark,response(lark,lark)),X1),response(X1,X1)) != response(response(lark,response(X1,X1)),X1),
inference(spm,[status(thm)],[c_0_5,c_0_2]) ).
cnf(c_0_7,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_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_2]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL058-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n008.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 16:14:58 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start CNFRefutation
% See solution above
% 1.25/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------