%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL400-10 : TPTP v9.2.1. Released v7.5.0.
% 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 : n017.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 04:40:15 PM UTC 2026
% Result : Unsatisfiable 54.07s 31.66s
% Output : CNFRefutation 54.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 6
% Syntax : Number of clauses : 72 ( 72 unt; 0 nHn; 3 RR)
% Number of literals : 72 ( 71 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 182 ( 41 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(ifeq_axiom,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_66,negated_conjecture,
is_a_theorem(implies(not(implies(x,y)),x)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_66) ).
cnf(c_0_6,axiom,
ifeq(is_a_theorem(implies(X1,X2)),true,ifeq(is_a_theorem(X1),true,is_a_theorem(X2),true),true) = true,
condensed_detachment ).
cnf(c_0_7,axiom,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))) = true,
cn_1 ).
cnf(c_0_8,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_9,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)) = true,
cn_2 ).
cnf(c_0_10,plain,
ifeq(is_a_theorem(implies(X1,X2)),true,is_a_theorem(implies(implies(X2,X3),implies(X1,X3))),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))) = true,
cn_3 ).
cnf(c_0_12,plain,
ifeq(is_a_theorem(implies(implies(implies(not(X1),X1),X1),X2)),true,is_a_theorem(X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_9]),c_0_8]) ).
cnf(c_0_13,plain,
is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_8]) ).
cnf(c_0_14,plain,
ifeq(is_a_theorem(X1),true,is_a_theorem(implies(not(X1),X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_11]),c_0_8]) ).
cnf(c_0_15,plain,
is_a_theorem(implies(X1,X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_8]) ).
cnf(c_0_16,plain,
is_a_theorem(implies(not(implies(X1,X1)),X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_8]) ).
cnf(c_0_17,plain,
ifeq(is_a_theorem(implies(implies(not(X1),X2),X3)),true,is_a_theorem(implies(X1,X3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_13]),c_0_8]) ).
cnf(c_0_18,plain,
is_a_theorem(implies(implies(X1,X2),implies(not(implies(X3,X3)),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_16]),c_0_8]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(X1,implies(not(implies(X2,X2)),X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_8]) ).
cnf(c_0_20,plain,
is_a_theorem(implies(implies(implies(not(implies(X1,X1)),X2),X3),implies(X4,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_19]),c_0_8]) ).
cnf(c_0_21,plain,
ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),X4)),true,is_a_theorem(X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_22,plain,
is_a_theorem(implies(X1,implies(X2,X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_20]),c_0_8]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(not(X1),X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_13]),c_0_8]) ).
cnf(c_0_24,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_22]),c_0_8]) ).
cnf(c_0_25,plain,
ifeq(is_a_theorem(implies(implies(implies(implies(not(X1),X2),X3),implies(X1,X3)),X4)),true,is_a_theorem(X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_13]),c_0_8]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(not(X3),X2)),X4),implies(X3,X4))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_23]),c_0_8]) ).
cnf(c_0_27,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_9]),c_0_8]) ).
cnf(c_0_28,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X4,X4),X2),X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_24]),c_0_8]) ).
cnf(c_0_29,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X1),X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_8]) ).
cnf(c_0_30,plain,
is_a_theorem(implies(implies(implies(implies(not(X1),X1),X2),X3),implies(implies(X1,X2),X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_27]),c_0_8]) ).
cnf(c_0_31,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_28]),c_0_8]) ).
cnf(c_0_32,plain,
is_a_theorem(implies(implies(implies(X1,implies(not(X2),X3)),X4),implies(X2,X4))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_29]),c_0_8]) ).
cnf(c_0_33,plain,
ifeq(is_a_theorem(implies(implies(implies(implies(implies(not(X1),X1),X2),X3),implies(implies(X1,X2),X3)),X4)),true,is_a_theorem(X4),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_30]),c_0_8]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_7]),c_0_8]) ).
cnf(c_0_35,plain,
ifeq(is_a_theorem(implies(implies(implies(implies(X1,X1),X2),X2),X3)),true,is_a_theorem(X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_31]),c_0_8]) ).
cnf(c_0_36,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X4),implies(implies(implies(implies(not(X1),X1),X2),X3),X4))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_30]),c_0_8]) ).
cnf(c_0_37,plain,
ifeq(is_a_theorem(implies(implies(X1,implies(not(X2),X3)),X4)),true,is_a_theorem(implies(X2,X4)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_32]),c_0_8]) ).
cnf(c_0_38,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(implies(X2,X3),implies(X1,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_8]) ).
cnf(c_0_39,plain,
is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_8]) ).
cnf(c_0_40,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_8]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(implies(not(X3),X3),X3),X1),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_39]),c_0_8]) ).
cnf(c_0_42,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_40]),c_0_8]) ).
cnf(c_0_43,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(not(X1),X4),X2),X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_13]),c_0_8]) ).
cnf(c_0_44,plain,
ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),X4)),true,is_a_theorem(implies(implies(X3,X1),X4)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_34]),c_0_8]) ).
cnf(c_0_45,plain,
is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),implies(not(X2),X2)),X2)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_41]),c_0_8]) ).
cnf(c_0_46,plain,
is_a_theorem(implies(X1,implies(X2,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_42]),c_0_8]) ).
cnf(c_0_47,plain,
ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(implies(implies(not(X1),X4),X2),X3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_43]),c_0_8]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(implies(not(X1),implies(not(X1),X1)),X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_8]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_46]),c_0_8]) ).
cnf(c_0_50,plain,
is_a_theorem(implies(implies(implies(not(not(X1)),X2),implies(not(X1),X1)),X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_8]) ).
cnf(c_0_51,plain,
ifeq(is_a_theorem(implies(implies(X1,X2),X3)),true,is_a_theorem(implies(X2,X3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_49]),c_0_8]) ).
cnf(c_0_52,plain,
is_a_theorem(implies(implies(not(X1),not(not(X1))),X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_50]),c_0_8]) ).
cnf(c_0_53,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_8]) ).
cnf(c_0_54,plain,
is_a_theorem(implies(not(not(X1)),X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_8]) ).
cnf(c_0_55,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_53]),c_0_8]) ).
cnf(c_0_56,plain,
ifeq(is_a_theorem(implies(implies(not(not(X1)),X1),X2)),true,is_a_theorem(X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_54]),c_0_8]) ).
cnf(c_0_57,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_55]),c_0_8]) ).
cnf(c_0_58,plain,
is_a_theorem(implies(implies(X1,not(X1)),not(X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_55]),c_0_8]) ).
cnf(c_0_59,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_57]),c_0_8]) ).
cnf(c_0_60,plain,
is_a_theorem(implies(X1,not(not(X1)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_58]),c_0_8]) ).
cnf(c_0_61,plain,
is_a_theorem(implies(not(X1),implies(X1,X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_59]),c_0_8]) ).
cnf(c_0_62,plain,
is_a_theorem(implies(implies(X1,not(X2)),implies(X2,implies(X1,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_34]),c_0_8]) ).
cnf(c_0_63,plain,
ifeq(is_a_theorem(implies(implies(X1,not(not(X1))),X2)),true,is_a_theorem(X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_60]),c_0_8]) ).
cnf(c_0_64,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(X1),X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_61]),c_0_8]) ).
cnf(c_0_65,plain,
ifeq(is_a_theorem(implies(X1,not(X2))),true,is_a_theorem(implies(X2,implies(X1,X3))),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_62]),c_0_8]) ).
cnf(c_0_66,plain,
is_a_theorem(implies(not(X1),not(not(implies(X1,X2))))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_8]) ).
cnf(c_0_67,plain,
ifeq(is_a_theorem(implies(X1,implies(not(X2),X2))),true,is_a_theorem(implies(X1,X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_53]),c_0_8]) ).
cnf(c_0_68,plain,
is_a_theorem(implies(not(implies(X1,X2)),implies(not(X1),X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_8]) ).
cnf(c_0_69,negated_conjecture,
is_a_theorem(implies(not(implies(x,y)),x)) != true,
prove_cn_66 ).
cnf(c_0_70,plain,
is_a_theorem(implies(not(implies(X1,X2)),X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_8]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL400-10 : TPTP v9.2.1. Released v7.5.0.
% 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
% 0.14/0.32 % Computer : n017.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 22:28:57 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 54.07/31.66 % Version : CSE_E---1.7
% 54.07/31.66 % Problem : theBenchmark.p
% 54.07/31.66 % SZS status Unsatisfiable for theBenchmark.p
% 54.07/31.66 % SZS output start CNFRefutation
% See solution above
% 54.26/31.87 % Total time : 23.416s
%------------------------------------------------------------------------------