%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN568-1 : 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 : n023.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 05:39:39 PM UTC 2026
% Result : Unsatisfiable 0.38s 1.61s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 20
% Syntax : Number of clauses : 50 ( 18 unt; 5 nHn; 36 RR)
% Number of literals : 103 ( 0 equ; 58 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 92 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_18,negated_conjecture,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_18) ).
cnf(p3_20,negated_conjecture,
( p3(X1,f6(c12))
| p10(f4(X2,X1),f4(X3,X1))
| ~ p10(X2,X3)
| ~ p11(f5(f6(c12)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
cnf(p11_19,negated_conjecture,
( p11(f4(X1,X2),f4(X3,X2))
| ~ p11(X1,X3)
| ~ p11(f5(f6(c12)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_19) ).
cnf(p2_17,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
cnf(p10_15,negated_conjecture,
( p10(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p10(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_15) ).
cnf(p11_16,negated_conjecture,
( p11(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p11(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_16) ).
cnf(not_p3_7,negated_conjecture,
~ p3(f6(f7(f8(c12))),f6(c12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_7) ).
cnf(p3_14,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
cnf(p2_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
cnf(p3_12,negated_conjecture,
( p3(f7(X1),f7(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_12) ).
cnf(p3_8,negated_conjecture,
( p3(f8(X1),f8(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
cnf(p3_11,negated_conjecture,
( p3(f6(X1),f6(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_11) ).
cnf(p2_9,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
cnf(p2_10,negated_conjecture,
( p2(f9(X1),f9(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(not_p10_6,negated_conjecture,
( ~ p10(X1,X2)
| ~ p11(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_6) ).
cnf(p11_4,negated_conjecture,
p11(f5(f6(c12)),f9(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_4) ).
cnf(not_p11_3,negated_conjecture,
~ p11(f9(c13),f9(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_3) ).
cnf(p10_5,negated_conjecture,
( p10(X1,X2)
| p11(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_5) ).
cnf(p3_2,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_2) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(i_0_20,negated_conjecture,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
p11_18,
[final] ).
cnf(i_0_21,negated_conjecture,
( p3(X1,f6(c12))
| p10(f4(X2,X1),f4(X3,X1))
| ~ p10(X2,X3)
| ~ p11(f5(f6(c12)),X2) ),
p3_20,
[final] ).
cnf(i_0_22,negated_conjecture,
( p11(f4(X1,X2),f4(X3,X2))
| ~ p11(X1,X3)
| ~ p11(f5(f6(c12)),X1) ),
p11_19,
[final] ).
cnf(i_0_23,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p2_17,
[final] ).
cnf(i_0_24,negated_conjecture,
( p10(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p10(X3,X4) ),
p10_15,
[final] ).
cnf(i_0_25,negated_conjecture,
( p11(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p11(X3,X4) ),
p11_16,
[final] ).
cnf(i_0_26,negated_conjecture,
~ p3(f6(f7(f8(c12))),f6(c12)),
not_p3_7,
[final] ).
cnf(i_0_27,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_14,
[final] ).
cnf(i_0_28,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_13,
[final] ).
cnf(i_0_29,negated_conjecture,
( p3(f7(X1),f7(X2))
| ~ p3(X1,X2) ),
p3_12,
[final] ).
cnf(i_0_30,negated_conjecture,
( p3(f8(X1),f8(X2))
| ~ p3(X1,X2) ),
p3_8,
[final] ).
cnf(i_0_31,negated_conjecture,
( p3(f6(X1),f6(X2))
| ~ p3(X1,X2) ),
p3_11,
[final] ).
cnf(i_0_32,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p3(X1,X2) ),
p2_9,
[final] ).
cnf(i_0_33,negated_conjecture,
( p2(f9(X1),f9(X2))
| ~ p2(X1,X2) ),
p2_10,
[final] ).
cnf(i_0_34,negated_conjecture,
( ~ p10(X1,X2)
| ~ p11(X2,X1) ),
not_p10_6,
[final] ).
cnf(i_0_35,negated_conjecture,
p11(f5(f6(c12)),f9(X1)),
p11_4,
[final] ).
cnf(i_0_36,negated_conjecture,
~ p11(f9(c13),f9(c14)),
not_p11_3,
[final] ).
cnf(i_0_37,negated_conjecture,
( p10(X1,X2)
| p11(X2,X1) ),
p10_5,
[final] ).
cnf(i_0_38,negated_conjecture,
p3(X1,X1),
p3_2,
[final] ).
cnf(i_0_39,negated_conjecture,
p2(X1,X1),
p2_1,
[final] ).
cnf(i_0_40,plain,
~ p3(f7(f8(c12)),c12),
inference(scs_inference,[],[i_0_26,i_0_31]) ).
cnf(i_0_41,plain,
( p3(f6(X1),f6(X2))
| ~ p3(X1,X2) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_42,plain,
~ p10(f4(f9(c14),f6(f7(f8(c12)))),f4(f9(c13),f6(f7(f8(c12))))),
inference(scs_inference,[],[i_0_20,i_0_26,i_0_31,i_0_34]) ).
cnf(i_0_43,plain,
( ~ p11(X1,X2)
| ~ p10(X2,X1) ),
inference(rename_variables,[],[i_0_34]) ).
cnf(i_0_44,plain,
p10(f9(c14),f9(c13)),
inference(scs_inference,[],[i_0_20,i_0_36,i_0_26,i_0_31,i_0_34,i_0_37]) ).
cnf(i_0_45,plain,
( p11(X1,X2)
| p10(X2,X1) ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_46,plain,
~ p3(f6(c12),f6(f7(f8(c12)))),
inference(scs_inference,[],[i_0_20,i_0_38,i_0_36,i_0_26,i_0_31,i_0_34,i_0_37,i_0_27]) ).
cnf(i_0_47,plain,
p3(X1,X1),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_48,plain,
( ~ p3(X1,X2)
| p3(X3,X2)
| ~ p3(X1,X3) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_49,plain,
$false,
inference(scs_inference,[],[i_0_20,i_0_38,i_0_36,i_0_35,i_0_26,i_0_31,i_0_34,i_0_37,i_0_27,i_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN568-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % 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
% 0.13/0.32 % Computer : n023.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 08:39:53 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 0.38/1.61 % Version : CSE_E---1.7
% 0.38/1.61 % Problem : theBenchmark.p
% 0.38/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.38/1.61 % SZS output start CNFRefutation
% See solution above
% 0.38/1.63 % Total time : 1.271s
%------------------------------------------------------------------------------