%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN582-1 : 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 : n027.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 05:39:41 PM UTC 2026
% Result : Unsatisfiable 0.42s 1.62s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 25
% Syntax : Number of clauses : 62 ( 25 unt; 2 nHn; 54 RR)
% Number of literals : 133 ( 0 equ; 74 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_24,negated_conjecture,
( p10(X1,X2,X3)
| ~ p5(X4,X1)
| ~ p2(X5,X3)
| ~ p2(X6,X2)
| ~ p10(X4,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_24) ).
cnf(p11_25,negated_conjecture,
( p11(f4(f6(c15,X1)),c16)
| ~ p12(X1,c14)
| ~ p12(c13,X1)
| ~ p2(f3(X1),f8(f9(c17))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_25) ).
cnf(p2_23,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X2,X4)
| ~ p5(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_23) ).
cnf(p10_20,negated_conjecture,
( p10(c15,f3(X1),X1)
| ~ p11(X1,c14)
| ~ p11(c13,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_20) ).
cnf(not_p11_9,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_9) ).
cnf(p11_21,negated_conjecture,
( p11(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p11(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_21) ).
cnf(p12_22,negated_conjecture,
( p12(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p12(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_22) ).
cnf(p5_19,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_19) ).
cnf(p2_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
cnf(p7_17,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_17) ).
cnf(p11_7,negated_conjecture,
p11(f4(f6(c15,c13)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
cnf(p11_8,negated_conjecture,
p11(f4(f6(c15,c14)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_8) ).
cnf(p12_16,negated_conjecture,
( p12(X1,X2)
| p2(X1,X2)
| ~ p11(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_16) ).
cnf(p2_14,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
cnf(p2_15,negated_conjecture,
( p2(f8(X1),f8(X2))
| ~ p7(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
cnf(p2_13,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
cnf(p7_12,negated_conjecture,
( p7(f9(X1),f9(X2))
| ~ p7(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_12) ).
cnf(p11_10,negated_conjecture,
( p11(X1,X2)
| ~ p12(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_10) ).
cnf(p11_11,negated_conjecture,
( p11(X1,X2)
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_11) ).
cnf(p2_6,negated_conjecture,
p2(f3(c18),f8(f9(c17))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
cnf(p5_3,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
cnf(p7_1,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_1) ).
cnf(p12_4,negated_conjecture,
p12(c18,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_4) ).
cnf(p2_5,negated_conjecture,
p2(c13,c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(i_0_25,negated_conjecture,
( p10(X1,X2,X3)
| ~ p5(X4,X1)
| ~ p2(X5,X3)
| ~ p2(X6,X2)
| ~ p10(X4,X6,X5) ),
p10_24,
[final] ).
cnf(i_0_26,negated_conjecture,
( p11(f4(f6(c15,X1)),c16)
| ~ p12(X1,c14)
| ~ p12(c13,X1)
| ~ p2(f3(X1),f8(f9(c17))) ),
p11_25,
[final] ).
cnf(i_0_27,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X2,X4)
| ~ p5(X1,X3) ),
p2_23,
[final] ).
cnf(i_0_28,negated_conjecture,
( p10(c15,f3(X1),X1)
| ~ p11(X1,c14)
| ~ p11(c13,X1) ),
p10_20,
[final] ).
cnf(i_0_29,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
not_p11_9,
[final] ).
cnf(i_0_30,negated_conjecture,
( p11(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p11(X3,X4) ),
p11_21,
[final] ).
cnf(i_0_31,negated_conjecture,
( p12(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p12(X3,X4) ),
p12_22,
[final] ).
cnf(i_0_32,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
p5_19,
[final] ).
cnf(i_0_33,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_18,
[final] ).
cnf(i_0_34,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_17,
[final] ).
cnf(i_0_35,negated_conjecture,
p11(f4(f6(c15,c13)),c16),
p11_7,
[final] ).
cnf(i_0_36,negated_conjecture,
p11(f4(f6(c15,c14)),c16),
p11_8,
[final] ).
cnf(i_0_37,negated_conjecture,
( p12(X1,X2)
| p2(X1,X2)
| ~ p11(X1,X2) ),
p12_16,
[final] ).
cnf(i_0_38,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p2_14,
[final] ).
cnf(i_0_39,negated_conjecture,
( p2(f8(X1),f8(X2))
| ~ p7(X1,X2) ),
p2_15,
[final] ).
cnf(i_0_40,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
p2_13,
[final] ).
cnf(i_0_41,negated_conjecture,
( p7(f9(X1),f9(X2))
| ~ p7(X1,X2) ),
p7_12,
[final] ).
cnf(i_0_42,negated_conjecture,
( p11(X1,X2)
| ~ p12(X1,X2) ),
p11_10,
[final] ).
cnf(i_0_43,negated_conjecture,
( p11(X1,X2)
| ~ p2(X1,X2) ),
p11_11,
[final] ).
cnf(i_0_44,negated_conjecture,
p2(f3(c18),f8(f9(c17))),
p2_6,
[final] ).
cnf(i_0_45,negated_conjecture,
p5(X1,X1),
p5_3,
[final] ).
cnf(i_0_46,negated_conjecture,
p2(X1,X1),
p2_2,
[final] ).
cnf(i_0_47,negated_conjecture,
p7(X1,X1),
p7_1,
[final] ).
cnf(i_0_48,negated_conjecture,
p12(c18,c14),
p12_4,
[final] ).
cnf(i_0_49,negated_conjecture,
p2(c13,c18),
p2_5,
[final] ).
cnf(i_0_50,plain,
p11(c18,c14),
inference(scs_inference,[],[i_0_48,i_0_42]) ).
cnf(i_0_51,plain,
( ~ p12(X1,X2)
| p11(X1,X2) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_52,plain,
p11(X1,X1),
inference(scs_inference,[],[i_0_46,i_0_48,i_0_42,i_0_43]) ).
cnf(i_0_53,plain,
( ~ p2(X1,X2)
| p11(X1,X2) ),
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_54,plain,
~ p12(c13,c18),
inference(scs_inference,[],[i_0_29,i_0_46,i_0_48,i_0_44,i_0_42,i_0_43,i_0_26]) ).
cnf(i_0_55,plain,
( p11(f4(f6(c15,X1)),c16)
| ~ p2(f3(X1),f8(f9(c17)))
| ~ p12(X1,c14)
| ~ p12(c13,X1) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_56,plain,
~ p2(f4(f6(c15,c13)),f4(f6(c15,c18))),
inference(scs_inference,[],[i_0_29,i_0_46,i_0_48,i_0_44,i_0_35,i_0_42,i_0_43,i_0_26,i_0_30]) ).
cnf(i_0_57,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_58,plain,
( ~ p11(X1,X2)
| p11(X3,X4)
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_59,plain,
~ p2(f6(c15,c13),f6(c15,c18)),
inference(scs_inference,[],[i_0_29,i_0_46,i_0_48,i_0_44,i_0_35,i_0_42,i_0_43,i_0_26,i_0_30,i_0_38]) ).
cnf(i_0_60,plain,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_61,plain,
$false,
inference(scs_inference,[],[i_0_29,i_0_45,i_0_46,i_0_48,i_0_49,i_0_44,i_0_35,i_0_42,i_0_43,i_0_26,i_0_30,i_0_38,i_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN582-1 : 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 : n027.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 08:41:05 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.42/1.62 % Version : CSE_E---1.7
% 0.42/1.62 % Problem : theBenchmark.p
% 0.42/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.42/1.62 % SZS output start CNFRefutation
% See solution above
% 0.42/1.66 % Total time : 1.272s
%------------------------------------------------------------------------------