%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN614-1 : 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 : 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 05:39:45 PM UTC 2026
% Result : Unsatisfiable 208.97s 63.36s
% Output : CNFRefutation 209.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 14 unt; 0 nHn; 27 RR)
% Number of literals : 61 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_15,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_15) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
cnf(p7_23,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_23) ).
cnf(p7_29,negated_conjecture,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_29) ).
cnf(not_p19_31,negated_conjecture,
( ~ p19(X1,f3(f4(f5(c22))))
| ~ p20(X2,f6(f3(f4(f5(c22))),c21))
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X2)
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X1),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X2),f10(f11(f3(f4(f5(c22)))),c27))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_31) ).
cnf(p20_7,negated_conjecture,
p20(c24,f6(f3(f4(f5(c22))),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_7) ).
cnf(p19_18,negated_conjecture,
p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_18) ).
cnf(p7_24,negated_conjecture,
( p7(f10(X1,X2),f10(X3,X4))
| ~ p2(X2,X4)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_24) ).
cnf(p2_13,negated_conjecture,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
cnf(p19_6,negated_conjecture,
p19(c23,f3(f4(f5(c22)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_6) ).
cnf(c_0_10,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_15 ).
cnf(c_0_11,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_12,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
p7_23 ).
cnf(c_0_13,negated_conjecture,
( p7(X1,X2)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
p7_29 ).
cnf(c_0_15,negated_conjecture,
( p7(X1,f8(X2,X3))
| ~ p7(f8(X4,X5),X1)
| ~ p7(X5,X3)
| ~ p7(X4,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( p7(c25,f8(X1,X2))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),X2)
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( p7(c25,f8(X1,f8(X2,X3)))
| ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),X3)
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),X1)
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( ~ p19(X1,f3(f4(f5(c22))))
| ~ p20(X2,f6(f3(f4(f5(c22))),c21))
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X2)
| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X1),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X2),f10(f11(f3(f4(f5(c22)))),c27))))) ),
not_p19_31 ).
cnf(c_0_20,negated_conjecture,
( p7(c25,f8(X1,f8(X2,f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),X1)
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_21,negated_conjecture,
p20(c24,f6(f3(f4(f5(c22))),c21)),
p20_7 ).
cnf(c_0_22,negated_conjecture,
p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24),
p19_18 ).
cnf(c_0_23,negated_conjecture,
( ~ p19(X1,f3(f4(f5(c22))))
| ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_24,negated_conjecture,
( p7(f10(X1,X2),f10(X3,X4))
| ~ p2(X2,X4)
| ~ p7(X1,X3) ),
p7_24 ).
cnf(c_0_25,negated_conjecture,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
p2_13 ).
cnf(c_0_26,negated_conjecture,
( ~ p19(X1,f3(f4(f5(c22))))
| ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_11])]) ).
cnf(c_0_27,negated_conjecture,
p19(c23,f3(f4(f5(c22)))),
p19_6 ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_11]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN614-1 : 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
% 0.14/0.33 % Computer : n001.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:42:18 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 208.97/63.36 % Version : CSE_E---1.7
% 208.97/63.36 % Problem : theBenchmark.p
% 208.97/63.36 % SZS status Unsatisfiable for theBenchmark.p
% 208.97/63.36 % SZS output start CNFRefutation
% See solution above
% 209.27/63.68 % Total time : 51.536s
%------------------------------------------------------------------------------