%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN565-1 : 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 : n001.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 05:39:39 PM UTC 2026
% Result : Unsatisfiable 1.36s 1.75s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 36 ( 20 unt; 0 nHn; 23 RR)
% Number of literals : 61 ( 0 equ; 35 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p10_11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_11) ).
cnf(p10_13,negated_conjecture,
( p10(f9(X1,X2),X3)
| ~ p10(X1,f3(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_13) ).
cnf(p10_14,negated_conjecture,
( p10(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p10(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_14) ).
cnf(p10_10,negated_conjecture,
p10(f5(X1),f3(f5(f6(X1,X2)),f5(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_10) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_16,negated_conjecture,
( p2(f3(X1,X2),f3(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
cnf(p2_3,negated_conjecture,
p2(f5(f7(X1)),f5(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
cnf(p2_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
cnf(p2_6,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
cnf(p4_5,negated_conjecture,
p4(f7(f8(X1,X2)),f8(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
cnf(p4_4,negated_conjecture,
p4(f8(X1,X2),f6(X1,f7(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
cnf(c_0_11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
not_p10_11 ).
cnf(c_0_12,negated_conjecture,
( p10(f9(X1,X2),X3)
| ~ p10(X1,f3(X3,X2)) ),
p10_13 ).
cnf(c_0_13,negated_conjecture,
~ p10(f5(c11),f3(f5(f8(c12,c11)),f5(c12))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( p10(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p10(X3,X4) ),
p10_14 ).
cnf(c_0_15,negated_conjecture,
( ~ p10(X1,X2)
| ~ p2(X2,f3(f5(f8(c12,c11)),f5(c12)))
| ~ p2(X1,f5(c11)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
p10(f5(X1),f3(f5(f6(X1,X2)),f5(X2))),
p10_10 ).
cnf(c_0_17,negated_conjecture,
( ~ p2(f3(f5(f6(X1,X2)),f5(X2)),f3(f5(f8(c12,c11)),f5(c12)))
| ~ p2(f5(X1),f5(c11)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_19,negated_conjecture,
~ p2(f3(f5(f6(c11,X1)),f5(X1)),f3(f5(f8(c12,c11)),f5(c12))),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( p2(f3(X1,X2),f3(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_16 ).
cnf(c_0_21,negated_conjecture,
( ~ p2(f5(f6(c11,X1)),f5(f8(c12,c11)))
| ~ p2(f5(X1),f5(c12)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
p2(f5(f7(X1)),f5(X1)),
p2_3 ).
cnf(c_0_23,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_8 ).
cnf(c_0_24,negated_conjecture,
~ p2(f5(f6(c11,f7(c12))),f5(f8(c12,c11))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p4(X1,X2) ),
p2_6 ).
cnf(c_0_26,negated_conjecture,
p4(f7(f8(X1,X2)),f8(X2,X1)),
p4_5 ).
cnf(c_0_27,negated_conjecture,
( p2(f5(X1),X2)
| ~ p2(f5(f7(X1)),X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( ~ p2(X1,f5(f6(c11,f7(c12))))
| ~ p2(X1,f5(f8(c12,c11))) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
p2(f5(f7(f8(X1,X2))),f5(f8(X2,X1))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
p2(f5(X1),f5(f7(X1))),
inference(spm,[status(thm)],[c_0_27,c_0_18]) ).
cnf(c_0_31,negated_conjecture,
p4(f8(X1,X2),f6(X1,f7(X2))),
p4_4 ).
cnf(c_0_32,negated_conjecture,
~ p2(f5(f7(f8(c11,c12))),f5(f6(c11,f7(c12)))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( p2(f5(f7(X1)),X2)
| ~ p2(f5(X1),X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
p2(f5(f8(X1,X2)),f5(f6(X1,f7(X2)))),
inference(spm,[status(thm)],[c_0_25,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN565-1 : 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 : n001.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 08:39:48 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.36/1.75 % Version : CSE_E---1.7
% 1.36/1.75 % Problem : theBenchmark.p
% 1.36/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.36/1.75 % SZS output start CNFRefutation
% See solution above
% 1.36/1.75 % Total time : 1.371s
%------------------------------------------------------------------------------