%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN561-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n016.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 05:39:38 PM UTC 2026
% Result : Unsatisfiable 1.10s 1.73s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 15 unt; 0 nHn; 21 RR)
% Number of literals : 38 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_9,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_5,negated_conjecture,
p2(f6(c15,c11),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_6,negated_conjecture,
p2(f3(f4(f5(c12)),c13),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
cnf(not_p9_15,negated_conjecture,
( ~ p9(X1,c10)
| ~ p8(c11,X1)
| ~ p2(f7(c10,X1),X2)
| ~ p2(f6(X2,c11),f3(f4(f5(c12)),c13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_15) ).
cnf(p2_4,negated_conjecture,
p2(f7(c10,c14),c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p8_3,negated_conjecture,
p8(c11,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
cnf(p9_2,negated_conjecture,
p9(c14,c10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
cnf(c_0_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_9 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_10,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
p2(f6(c15,c11),c16),
p2_5 ).
cnf(c_0_12,negated_conjecture,
p2(c16,f6(c15,c11)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p2(X1,f6(c15,c11))
| ~ p2(c16,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p2(f3(f4(f5(c12)),c13),c16),
p2_6 ).
cnf(c_0_15,negated_conjecture,
( ~ p9(X1,c10)
| ~ p8(c11,X1)
| ~ p2(f7(c10,X1),X2)
| ~ p2(f6(X2,c11),f3(f4(f5(c12)),c13)) ),
not_p9_15 ).
cnf(c_0_16,negated_conjecture,
( p2(f6(c15,c11),X1)
| ~ p2(c16,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
p2(c16,f3(f4(f5(c12)),c13)),
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ p8(c11,X1)
| ~ p9(X1,c10)
| ~ p2(f7(c10,X1),c15) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_19,negated_conjecture,
p2(f7(c10,c14),c15),
p2_4 ).
cnf(c_0_20,negated_conjecture,
p8(c11,c14),
p8_3 ).
cnf(c_0_21,negated_conjecture,
p9(c14,c10),
p9_2 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN561-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.09 % 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
% 0.11/0.29 % Computer : n016.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue May 5 08:39:51 EDT 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % start to proof: theBenchmark
% 1.10/1.73 % Version : CSE_E---1.7
% 1.10/1.73 % Problem : theBenchmark.p
% 1.10/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.10/1.73 % SZS output start CNFRefutation
% See solution above
% 1.10/1.73 % Total time : 1.422s
%------------------------------------------------------------------------------