%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN593-1 : 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 : n011.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 0.27s 1.61s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 27
% Syntax : Number of clauses : 55 ( 21 unt; 4 nHn; 45 RR)
% Number of literals : 115 ( 0 equ; 60 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_27,negated_conjecture,
( p3(X1,X2)
| p12(f13(X3),f13(c18))
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X2)),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X1)),X3)
| ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X1),X3)
| ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_27) ).
cnf(p12_26,negated_conjecture,
( p12(f13(X1),f13(c18))
| ~ p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(f14(X1,X2))),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_26) ).
cnf(not_p15_24,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_24) ).
cnf(not_p15_23,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_23) ).
cnf(p12_25,negated_conjecture,
( p12(f13(X1),f13(c18))
| p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f14(X1,X2)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_25) ).
cnf(p15_18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_18) ).
cnf(p15_19,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_19) ).
cnf(p2_21,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_21) ).
cnf(p2_22,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X2,X4)
| ~ p5(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_22) ).
cnf(p3_20,negated_conjecture,
( p3(f14(X1,X2),f14(X3,X4))
| ~ p2(X1,X3)
| ~ p5(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
cnf(p15_17,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_17) ).
cnf(p2_16,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
cnf(p3_15,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).
cnf(p5_14,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_14) ).
cnf(p12_13,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_13) ).
cnf(p3_12,negated_conjecture,
( p3(f11(X1),f11(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_12) ).
cnf(p3_11,negated_conjecture,
( p3(f8(X1),f8(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_11) ).
cnf(p3_10,negated_conjecture,
( p3(f9(X1),f9(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_10) ).
cnf(p5_9,negated_conjecture,
( p5(f10(X1),f10(X2))
| ~ p5(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_9) ).
cnf(p5_8,negated_conjecture,
( p5(f7(X1),f7(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_8) ).
cnf(p12_7,negated_conjecture,
( p12(f13(X1),f13(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_7) ).
cnf(not_p12_6,negated_conjecture,
~ p12(f13(c20),f13(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_6) ).
cnf(not_p3_5,negated_conjecture,
~ p3(c21,c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_5) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
cnf(p5_2,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_2) ).
cnf(p12_1,negated_conjecture,
p12(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_1) ).
cnf(i_0_27,negated_conjecture,
( p3(X1,X2)
| p12(f13(X3),f13(c18))
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X2)),X3)
| p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),f11(X1)),X3)
| ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X1),X3)
| ~ p15(f4(f6(f10(X4),f6(f7(f8(f9(c17))),c18)),X2),X3) ),
p3_27,
[final] ).
cnf(i_0_28,negated_conjecture,
( p12(f13(X1),f13(c18))
| ~ p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(f14(X1,X2))),X1) ),
p12_26,
[final] ).
cnf(i_0_29,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
not_p15_24,
[final] ).
cnf(i_0_30,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
not_p15_23,
[final] ).
cnf(i_0_31,negated_conjecture,
( p12(f13(X1),f13(c18))
| p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f14(X1,X2)),X1) ),
p12_25,
[final] ).
cnf(i_0_32,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
p15_18,
[final] ).
cnf(i_0_33,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
p15_19,
[final] ).
cnf(i_0_34,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p2_21,
[final] ).
cnf(i_0_35,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X2,X4)
| ~ p5(X1,X3) ),
p2_22,
[final] ).
cnf(i_0_36,negated_conjecture,
( p3(f14(X1,X2),f14(X3,X4))
| ~ p2(X1,X3)
| ~ p5(X2,X4) ),
p3_20,
[final] ).
cnf(i_0_37,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
p15_17,
[final] ).
cnf(i_0_38,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_16,
[final] ).
cnf(i_0_39,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_15,
[final] ).
cnf(i_0_40,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
p5_14,
[final] ).
cnf(i_0_41,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X1)
| ~ p12(X3,X2) ),
p12_13,
[final] ).
cnf(i_0_42,negated_conjecture,
( p3(f11(X1),f11(X2))
| ~ p3(X1,X2) ),
p3_12,
[final] ).
cnf(i_0_43,negated_conjecture,
( p3(f8(X1),f8(X2))
| ~ p3(X1,X2) ),
p3_11,
[final] ).
cnf(i_0_44,negated_conjecture,
( p3(f9(X1),f9(X2))
| ~ p3(X1,X2) ),
p3_10,
[final] ).
cnf(i_0_45,negated_conjecture,
( p5(f10(X1),f10(X2))
| ~ p5(X1,X2) ),
p5_9,
[final] ).
cnf(i_0_46,negated_conjecture,
( p5(f7(X1),f7(X2))
| ~ p3(X1,X2) ),
p5_8,
[final] ).
cnf(i_0_47,negated_conjecture,
( p12(f13(X1),f13(X2))
| ~ p2(X1,X2) ),
p12_7,
[final] ).
cnf(i_0_48,negated_conjecture,
~ p12(f13(c20),f13(c18)),
not_p12_6,
[final] ).
cnf(i_0_49,negated_conjecture,
~ p3(c21,c19),
not_p3_5,
[final] ).
cnf(i_0_50,negated_conjecture,
p2(X1,X1),
p2_4,
[final] ).
cnf(i_0_51,negated_conjecture,
p3(X1,X1),
p3_3,
[final] ).
cnf(i_0_52,negated_conjecture,
p5(X1,X1),
p5_2,
[final] ).
cnf(i_0_53,negated_conjecture,
p12(X1,X1),
p12_1,
[final] ).
cnf(i_0_54,plain,
$false,
inference(scs_inference,[],[i_0_49,i_0_48,i_0_29,i_0_30,i_0_33,i_0_32,i_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN593-1 : 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
% 0.16/0.33 % Computer : n011.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:40:17 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.27/1.61 % Version : CSE_E---1.7
% 0.27/1.61 % Problem : theBenchmark.p
% 0.27/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.27/1.61 % SZS output start CNFRefutation
% See solution above
% 0.27/1.63 % Total time : 1.271s
%------------------------------------------------------------------------------