%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL050-10 : TPTP v9.2.1. Released v7.3.0.
% 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 : n018.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 04:39:15 PM UTC 2026
% Result : Unsatisfiable 5.42s 4.38s
% Output : CNFRefutation 5.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 6
% Syntax : Number of clauses : 56 ( 56 unt; 0 nHn; 3 RR)
% Number of literals : 56 ( 55 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 145 ( 29 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/sandbox/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/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(ifeq_axiom,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X1),X1),X1)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X1,implies(not(X1),X2))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(prove_cn_21,negated_conjecture,
is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_21) ).
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,
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_22,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_21]),c_0_8]) ).
cnf(c_0_23,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_22]),c_0_8]) ).
cnf(c_0_24,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_23]),c_0_8]) ).
cnf(c_0_25,plain,
ifeq(is_a_theorem(implies(implies(X1,X1),X2)),true,is_a_theorem(implies(X3,X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_22]),c_0_8]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_24]),c_0_8]) ).
cnf(c_0_27,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_28,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_8]) ).
cnf(c_0_29,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_27]),c_0_8]) ).
cnf(c_0_30,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X2),X3),implies(X4,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_28]),c_0_8]) ).
cnf(c_0_31,plain,
is_a_theorem(implies(implies(X1,implies(implies(X2,X2),X3)),implies(X4,implies(X1,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_8]) ).
cnf(c_0_32,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,implies(implies(X2,X4),X4)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_31]),c_0_8]) ).
cnf(c_0_33,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_24]),c_0_8]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(implies(X1,X2),implies(X3,implies(implies(implies(X1,X2),X4),X4)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_32]),c_0_8]) ).
cnf(c_0_35,plain,
ifeq(is_a_theorem(implies(not(X1),X1)),true,is_a_theorem(X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_9]),c_0_8]) ).
cnf(c_0_36,plain,
is_a_theorem(implies(X1,implies(implies(implies(implies(implies(X2,X2),X3),X3),X4),X4))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_8]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X1),X2),X2),X3),X3)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_8]) ).
cnf(c_0_38,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_39,plain,
is_a_theorem(implies(implies(X1,implies(implies(X2,X2),X3)),implies(X1,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_37]),c_0_8]) ).
cnf(c_0_40,plain,
ifeq(is_a_theorem(implies(implies(implies(X1,X2),implies(implies(not(X1),X1),X2)),X3)),true,is_a_theorem(X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_38]),c_0_8]) ).
cnf(c_0_41,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(implies(X2,X3),X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_39]),c_0_8]) ).
cnf(c_0_42,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_40,c_0_41]),c_0_8]) ).
cnf(c_0_43,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_29,c_0_42]),c_0_8]) ).
cnf(c_0_44,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_29,c_0_43]),c_0_8]) ).
cnf(c_0_45,plain,
is_a_theorem(implies(X1,implies(implies(X2,X1),X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_44]),c_0_8]) ).
cnf(c_0_46,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_47,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X2,X3))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_45]),c_0_8]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(X1,implies(X2,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),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_48]),c_0_8]) ).
cnf(c_0_50,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_51,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_41]),c_0_8]) ).
cnf(c_0_52,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_51]),c_0_8]) ).
cnf(c_0_53,negated_conjecture,
is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))) != true,
prove_cn_21 ).
cnf(c_0_54,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_52]),c_0_8]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL050-10 : TPTP v9.2.1. Released v7.3.0.
% 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
% 0.17/0.34 % Computer : n018.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 21:57:47 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 5.42/4.38 % Version : CSE_E---1.7
% 5.42/4.38 % Problem : theBenchmark.p
% 5.42/4.38 % SZS status Unsatisfiable for theBenchmark.p
% 5.42/4.38 % SZS output start CNFRefutation
% See solution above
% 5.42/4.39 % Total time : 3.371s
%------------------------------------------------------------------------------