%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN560-1 : 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 : n005.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 1.28s 1.73s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 12 unt; 3 nHn; 26 RR)
% Number of literals : 71 ( 0 equ; 40 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p8_9,negated_conjecture,
( p8(X1,X2)
| ~ p8(X1,X3)
| ~ p8(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_9) ).
cnf(p2_15,negated_conjecture,
( p2(X1,f3(c10))
| p8(f6(X1,X2),f6(X1,f5(X2,f3(f7(c10))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).
cnf(p8_10,negated_conjecture,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_10) ).
cnf(not_p2_2,negated_conjecture,
~ p2(c9,f3(c10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_2) ).
cnf(p2_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(p8_12,negated_conjecture,
( p8(X1,X2)
| ~ p2(X3,X2)
| ~ p8(X4,X3)
| ~ p2(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_12) ).
cnf(p2_14,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X2,X4)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
cnf(p2_4,negated_conjecture,
p2(f4(X1),f5(X1,f3(f7(c10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_7,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
cnf(not_p8_11,negated_conjecture,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_11) ).
cnf(c_0_11,negated_conjecture,
( p8(X1,X2)
| ~ p8(X1,X3)
| ~ p8(X3,X2) ),
p8_9 ).
cnf(c_0_12,negated_conjecture,
( p2(X1,f3(c10))
| p8(f6(X1,X2),f6(X1,f5(X2,f3(f7(c10))))) ),
p2_15 ).
cnf(c_0_13,negated_conjecture,
( p8(X1,f6(X2,f5(X3,f3(f7(c10)))))
| p2(X2,f3(c10))
| ~ p8(X1,f6(X2,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
p8_10 ).
cnf(c_0_15,negated_conjecture,
~ p2(c9,f3(c10)),
not_p2_2 ).
cnf(c_0_16,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_8 ).
cnf(c_0_17,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_18,negated_conjecture,
( p8(X1,X2)
| ~ p2(X3,X2)
| ~ p8(X4,X3)
| ~ p2(X4,X1) ),
p8_12 ).
cnf(c_0_19,negated_conjecture,
p8(f6(c9,f4(c12)),f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10))))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X2,X4)
| ~ p2(X1,X3) ),
p2_14 ).
cnf(c_0_22,negated_conjecture,
( p8(X1,X2)
| ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),X2)
| ~ p2(f6(c9,f4(c12)),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X4,X2)
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
p2(f4(X1),f5(X1,f3(f7(c10)))),
p2_4 ).
cnf(c_0_25,negated_conjecture,
( p8(X1,f6(X2,X3))
| ~ p2(X3,f5(f4(f5(c12,c14)),f3(f7(c10))))
| ~ p2(f6(c9,f4(c12)),X1)
| ~ p2(X2,c9) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( p2(X1,f5(X2,f3(f7(c10))))
| ~ p2(f4(X2),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( p8(X1,f6(X2,X3))
| ~ p2(f4(f4(f5(c12,c14))),X3)
| ~ p2(f6(c9,f4(c12)),X1)
| ~ p2(X2,c9) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p2_7 ).
cnf(c_0_29,negated_conjecture,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
not_p8_11 ).
cnf(c_0_30,negated_conjecture,
( p8(X1,f6(X2,f4(X3)))
| ~ p2(f6(c9,f4(c12)),X1)
| ~ p2(f4(f5(c12,c14)),X3)
| ~ p2(X2,c9) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_17]),c_0_17]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN560-1 : TPTP v9.2.1. Released v2.5.0.
% 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
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:39:15 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.28/1.73 % Version : CSE_E---1.7
% 1.28/1.73 % Problem : theBenchmark.p
% 1.28/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.73 % SZS output start CNFRefutation
% See solution above
% 1.28/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------