%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN588-1 : 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 : n007.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 05:39:42 PM UTC 2026
% Result : Unsatisfiable 0.28s 1.62s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 26
% Syntax : Number of clauses : 53 ( 25 unt; 0 nHn; 49 RR)
% Number of literals : 103 ( 0 equ; 54 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p7_26,negated_conjecture,
~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p7_26) ).
cnf(p7_24,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_24) ).
cnf(p7_25,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
cnf(p15_16,negated_conjecture,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_16) ).
cnf(p7_22,negated_conjecture,
( p7(f10(X1,X2),f10(X3,X4))
| ~ p2(X2,X4)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_22) ).
cnf(p7_21,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_21) ).
cnf(p7_20,negated_conjecture,
( p7(f9(X1,X2),f9(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_20) ).
cnf(p2_19,negated_conjecture,
( p2(f13(X1,X2),f13(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).
cnf(p2_23,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_23) ).
cnf(p14_8,negated_conjecture,
p14(c24,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_8) ).
cnf(p14_7,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_7) ).
cnf(p15_18,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_18) ).
cnf(p14_17,negated_conjecture,
( p14(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p14(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_17) ).
cnf(p7_14,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_14) ).
cnf(p2_15,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
cnf(p7_13,negated_conjecture,
( p7(f11(X1),f11(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_13) ).
cnf(p7_9,negated_conjecture,
( p7(f12(X1),f12(X2))
| ~ p7(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_9) ).
cnf(p2_11,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(p2_12,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_10,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
cnf(p14_6,negated_conjecture,
p14(c23,f3(f4(f5(c17)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_6) ).
cnf(p14_5,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_5) ).
cnf(not_p2_4,negated_conjecture,
~ p2(c16,f3(c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_4) ).
cnf(p2_3,negated_conjecture,
p2(c25,f3(c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(i_0_26,negated_conjecture,
~ p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
not_p7_26,
[final] ).
cnf(i_0_27,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c23),f8(f10(f11(f3(f4(f5(c17)))),c25),f9(f11(c24),f10(f11(f3(f4(f5(c17)))),c22))))),
p7_24,
[final] ).
cnf(i_0_28,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
p7_25,
[final] ).
cnf(i_0_29,negated_conjecture,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
p15_16,
[final] ).
cnf(i_0_30,negated_conjecture,
( p7(f10(X1,X2),f10(X3,X4))
| ~ p2(X2,X4)
| ~ p7(X1,X3) ),
p7_22,
[final] ).
cnf(i_0_31,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
p7_21,
[final] ).
cnf(i_0_32,negated_conjecture,
( p7(f9(X1,X2),f9(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
p7_20,
[final] ).
cnf(i_0_33,negated_conjecture,
( p2(f13(X1,X2),f13(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_19,
[final] ).
cnf(i_0_34,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_23,
[final] ).
cnf(i_0_35,negated_conjecture,
p14(c24,f6(f3(f4(f5(c17))),c16)),
p14_8,
[final] ).
cnf(i_0_36,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
p14_7,
[final] ).
cnf(i_0_37,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
p15_18,
[final] ).
cnf(i_0_38,negated_conjecture,
( p14(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p14(X3,X4) ),
p14_17,
[final] ).
cnf(i_0_39,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_14,
[final] ).
cnf(i_0_40,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_15,
[final] ).
cnf(i_0_41,negated_conjecture,
( p7(f11(X1),f11(X2))
| ~ p2(X1,X2) ),
p7_13,
[final] ).
cnf(i_0_42,negated_conjecture,
( p7(f12(X1),f12(X2))
| ~ p7(X1,X2) ),
p7_9,
[final] ).
cnf(i_0_43,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p2_11,
[final] ).
cnf(i_0_44,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
p2_12,
[final] ).
cnf(i_0_45,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
p2_10,
[final] ).
cnf(i_0_46,negated_conjecture,
p14(c23,f3(f4(f5(c17)))),
p14_6,
[final] ).
cnf(i_0_47,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
p14_5,
[final] ).
cnf(i_0_48,negated_conjecture,
~ p2(c16,f3(c17)),
not_p2_4,
[final] ).
cnf(i_0_49,negated_conjecture,
p2(c25,f3(c17)),
p2_3,
[final] ).
cnf(i_0_50,negated_conjecture,
p7(X1,X1),
p7_2,
[final] ).
cnf(i_0_51,negated_conjecture,
p2(X1,X1),
p2_1,
[final] ).
cnf(i_0_52,plain,
$false,
inference(scs_inference,[],[i_0_26,i_0_27,i_0_28,i_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN588-1 : 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
% 0.15/0.33 % Computer : n007.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 08:40:09 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.28/1.62 % Version : CSE_E---1.7
% 0.28/1.62 % Problem : theBenchmark.p
% 0.28/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.28/1.62 % SZS output start CNFRefutation
% See solution above
% 0.28/1.64 % Total time : 1.272s
%------------------------------------------------------------------------------