%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT043-1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n024.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 04:48:18 PM UTC 2026
% Result : Unsatisfiable 1.12s 1.61s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 35 ( 21 unt; 2 nHn; 33 RR)
% Number of literals : 64 ( 15 equ; 31 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_5_42,axiom,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_42) ).
cnf(lemma_2_49,negated_conjecture,
stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2_49) ).
cnf(lemma_2_46,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2_46) ).
cnf(definition_smaller_or_equal_3,axiom,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
cnf(lemma_2_50,negated_conjecture,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2_50) ).
cnf(assumption_6_45,axiom,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1)
| external_ties(X1,X2) != external_ties(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_45) ).
cnf(lemma_2_51,negated_conjecture,
external_ties(sk1,sk2) = external_ties(sk1,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2_51) ).
cnf(definition_smaller_7,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
cnf(definition_greater_or_equal_6,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).
cnf(assumption_4_38,axiom,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2))
| ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_38) ).
cnf(lemma_2_47,negated_conjecture,
~ has_immunity(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2_47) ).
cnf(lemma_2_48,negated_conjecture,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2_48) ).
cnf(lemma_2_52,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2_52) ).
cnf(c_0_13,axiom,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
assumption_5_42 ).
cnf(c_0_14,negated_conjecture,
stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2),
lemma_2_49 ).
cnf(c_0_15,negated_conjecture,
organization(sk1),
lemma_2_46 ).
cnf(c_0_16,axiom,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
definition_smaller_or_equal_3 ).
cnf(c_0_17,negated_conjecture,
( smaller(capability(sk1,X1),capability(sk1,sk2))
| ~ greater(internal_friction(sk1,X1),internal_friction(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,X1),stock_of_knowledge(sk1,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
lemma_2_50 ).
cnf(c_0_20,axiom,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1)
| external_ties(X1,X2) != external_ties(X1,X3) ),
assumption_6_45 ).
cnf(c_0_21,negated_conjecture,
external_ties(sk1,sk2) = external_ties(sk1,sk3),
lemma_2_51 ).
cnf(c_0_22,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
definition_smaller_7 ).
cnf(c_0_23,negated_conjecture,
smaller(capability(sk1,sk3),capability(sk1,sk2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,negated_conjecture,
( position(sk1,X1) = position(sk1,sk2)
| external_ties(sk1,X1) != external_ties(sk1,sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15])]) ).
cnf(c_0_25,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
definition_greater_or_equal_6 ).
cnf(c_0_26,axiom,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2))
| ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
assumption_4_38 ).
cnf(c_0_27,negated_conjecture,
greater(capability(sk1,sk2),capability(sk1,sk3)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
position(sk1,sk2) = position(sk1,sk3),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
~ has_immunity(sk1,sk2),
lemma_2_47 ).
cnf(c_0_31,negated_conjecture,
~ has_immunity(sk1,sk3),
lemma_2_48 ).
cnf(c_0_32,negated_conjecture,
smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_15]),c_0_28]),c_0_29])]),c_0_30]),c_0_31]) ).
cnf(c_0_33,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
lemma_2_52 ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : MGT043-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.06 % 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
% 0.07/0.24 % Computer : n024.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Mon May 4 18:30:11 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.24 % start to proof: theBenchmark
% 1.12/1.61 % Version : CSE_E---1.7
% 1.12/1.61 % Problem : theBenchmark.p
% 1.12/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 1.12/1.61 % SZS output start CNFRefutation
% See solution above
% 1.12/1.61 % Total time : 1.361s
%------------------------------------------------------------------------------