%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN643-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.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 05:39:49 PM UTC 2026
% Result : Unsatisfiable 1.87s 1.88s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 13 unt; 0 nHn; 21 RR)
% Number of literals : 45 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_24,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_24) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
cnf(p4_35,negated_conjecture,
( p4(f9(X1,X2),f9(X3,X4))
| ~ p4(X2,X4)
| ~ p4(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_35) ).
cnf(p4_37,negated_conjecture,
( p4(f5(f10(X1,X2)),f9(f5(X1),f5(X2)))
| ~ p15(X1)
| ~ p15(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_37) ).
cnf(not_p4_28,negated_conjecture,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_28) ).
cnf(p4_10,negated_conjecture,
p4(f5(f3(c18)),f5(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_10) ).
cnf(p4_11,negated_conjecture,
p4(f5(f3(c19)),f5(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_11) ).
cnf(f3_is_p15_2,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_2) ).
cnf(f3_is_p15_1,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3_is_p15_1) ).
cnf(c_0_9,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_24 ).
cnf(c_0_10,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_11,negated_conjecture,
( p4(f9(X1,X2),f9(X3,X4))
| ~ p4(X2,X4)
| ~ p4(X1,X3) ),
p4_35 ).
cnf(c_0_12,negated_conjecture,
( p4(X1,X2)
| ~ p4(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( p4(f5(f10(X1,X2)),f9(f5(X1),f5(X2)))
| ~ p15(X1)
| ~ p15(X2) ),
p4_37 ).
cnf(c_0_14,negated_conjecture,
( p4(X1,f9(X2,X3))
| ~ p4(f9(X4,X5),X1)
| ~ p4(X5,X3)
| ~ p4(X4,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( p4(f9(f5(X1),f5(X2)),f5(f10(X1,X2)))
| ~ p15(X2)
| ~ p15(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
not_p4_28 ).
cnf(c_0_17,negated_conjecture,
( p4(f5(f10(X1,X2)),f9(X3,X4))
| ~ p4(f5(X2),X4)
| ~ p4(f5(X1),X3)
| ~ p15(X2)
| ~ p15(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p4(f5(f3(c18)),f5(c18)),
p4_10 ).
cnf(c_0_19,negated_conjecture,
p4(f5(f3(c19)),f5(c19)),
p4_11 ).
cnf(c_0_20,negated_conjecture,
p15(f3(c18)),
f3_is_p15_2 ).
cnf(c_0_21,negated_conjecture,
p15(f3(c19)),
f3_is_p15_1 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN643-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n004.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 : Tue May 5 08:42:47 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.87/1.88 % Version : CSE_E---1.7
% 1.87/1.88 % Problem : theBenchmark.p
% 1.87/1.88 % SZS status Unsatisfiable for theBenchmark.p
% 1.87/1.88 % SZS output start CNFRefutation
% See solution above
% 1.87/1.89 % Total time : 1.368s
%------------------------------------------------------------------------------