%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN600-1 : 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 : n026.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 05:39:43 PM UTC 2026
% Result : Unsatisfiable 1.80s 1.89s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 34 ( 15 unt; 0 nHn; 32 RR)
% Number of literals : 69 ( 0 equ; 37 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p7_19,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_19) ).
cnf(p7_4,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
cnf(p7_7,negated_conjecture,
p7(f16(c21),f16(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_7) ).
cnf(p7_17,negated_conjecture,
( p7(f15(X1),f15(X2))
| ~ p7(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_17) ).
cnf(p18_23,negated_conjecture,
( p18(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X4,X2)
| ~ p18(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_23) ).
cnf(p17_22,negated_conjecture,
( p17(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X4,X2)
| ~ p17(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_22) ).
cnf(p18_27,negated_conjecture,
( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1)))
| ~ p19(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_27) ).
cnf(c22_is_p19_2,negated_conjecture,
p19(c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22_is_p19_2) ).
cnf(p17_28,negated_conjecture,
( p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_28) ).
cnf(p3_29,negated_conjecture,
( p3(f4(f6(X1)),X2)
| ~ p19(X1)
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1)))
| ~ p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_29) ).
cnf(c21_is_p19_1,negated_conjecture,
p19(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p19_1) ).
cnf(not_p3_8,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_8) ).
cnf(c_0_12,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_19 ).
cnf(c_0_13,negated_conjecture,
p7(X1,X1),
p7_4 ).
cnf(c_0_14,negated_conjecture,
( p7(X1,X2)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
p7(f16(c21),f16(c22)),
p7_7 ).
cnf(c_0_16,negated_conjecture,
( p7(f15(X1),f15(X2))
| ~ p7(X1,X2) ),
p7_17 ).
cnf(c_0_17,negated_conjecture,
p7(f16(c22),f16(c21)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( p18(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X4,X2)
| ~ p18(X3,X4) ),
p18_23 ).
cnf(c_0_19,negated_conjecture,
p7(f15(f16(c22)),f15(f16(c21))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( p17(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X4,X2)
| ~ p17(X3,X4) ),
p17_22 ).
cnf(c_0_21,negated_conjecture,
( p18(X1,f15(f16(c21)))
| ~ p18(X2,f15(f16(c22)))
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( p17(X1,X2)
| ~ p17(X3,X2)
| ~ p7(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( p18(X1,f15(f16(c21)))
| ~ p18(X1,f15(f16(c22))) ),
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_24,negated_conjecture,
( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1)))
| ~ p19(X1) ),
p18_27 ).
cnf(c_0_25,negated_conjecture,
p19(c22),
c22_is_p19_2 ).
cnf(c_0_26,negated_conjecture,
( p17(f15(f16(c21)),X1)
| ~ p17(f15(f16(c22)),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
( p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X1) ),
p17_28 ).
cnf(c_0_28,negated_conjecture,
( p3(f4(f6(X1)),X2)
| ~ p19(X1)
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1)))
| ~ p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
p3_29 ).
cnf(c_0_29,negated_conjecture,
p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_30,negated_conjecture,
p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_25])]) ).
cnf(c_0_31,negated_conjecture,
p19(c21),
c21_is_p19_1 ).
cnf(c_0_32,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))),
not_p3_8 ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN600-1 : 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
% 0.15/0.34 % Computer : n026.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 08:40:38 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.80/1.89 % Version : CSE_E---1.7
% 1.80/1.89 % Problem : theBenchmark.p
% 1.80/1.89 % SZS status Unsatisfiable for theBenchmark.p
% 1.80/1.89 % SZS output start CNFRefutation
% See solution above
% 1.80/1.90 % Total time : 1.373s
%------------------------------------------------------------------------------