%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT058-1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n002.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 04:48:22 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of clauses : 39 ( 16 unt; 10 nHn; 38 RR)
% Number of literals : 68 ( 20 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_greater_or_equal_4,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_4) ).
cnf(lemma_10_44,negated_conjecture,
greater_or_equal(sigma,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_44) ).
cnf(definition_smaller_8,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
cnf(definition_3_30,axiom,
( positional_advantage(X1,X2)
| ~ fragile_position(X1)
| ~ smaller_or_equal(age(X1,X2),sigma) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_30) ).
cnf(lemma_10_43,negated_conjecture,
age(sk3,sk4) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_43) ).
cnf(lemma_10_46,negated_conjecture,
fragile_position(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_46) ).
cnf(definition_smaller_or_equal_2,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
cnf(lemma_10_45,negated_conjecture,
greater_or_equal(tau,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_45) ).
cnf(definition_4_36,axiom,
( ~ robust_position(X1)
| ~ smaller_or_equal(age(X1,X2),tau)
| ~ positional_advantage(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_36) ).
cnf(lemma_10_47,negated_conjecture,
robust_position(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_47) ).
cnf(definition_smaller_or_equal_3,axiom,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
cnf(c_0_11,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
definition_greater_or_equal_4 ).
cnf(c_0_12,negated_conjecture,
greater_or_equal(sigma,zero),
lemma_10_44 ).
cnf(c_0_13,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
definition_smaller_8 ).
cnf(c_0_14,negated_conjecture,
( zero = sigma
| greater(sigma,zero) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
( positional_advantage(X1,X2)
| ~ fragile_position(X1)
| ~ smaller_or_equal(age(X1,X2),sigma) ),
definition_3_30 ).
cnf(c_0_16,negated_conjecture,
age(sk3,sk4) = zero,
lemma_10_43 ).
cnf(c_0_17,negated_conjecture,
fragile_position(sk3),
lemma_10_46 ).
cnf(c_0_18,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
definition_smaller_or_equal_2 ).
cnf(c_0_19,negated_conjecture,
( zero = sigma
| smaller(zero,sigma) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
greater_or_equal(tau,zero),
lemma_10_45 ).
cnf(c_0_21,negated_conjecture,
( positional_advantage(sk3,sk4)
| ~ smaller_or_equal(zero,sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_22,negated_conjecture,
( zero = sigma
| smaller_or_equal(zero,sigma) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( zero = tau
| greater(tau,zero) ),
inference(spm,[status(thm)],[c_0_11,c_0_20]) ).
cnf(c_0_24,axiom,
( ~ robust_position(X1)
| ~ smaller_or_equal(age(X1,X2),tau)
| ~ positional_advantage(X1,X2) ),
definition_4_36 ).
cnf(c_0_25,negated_conjecture,
( zero = sigma
| positional_advantage(sk3,sk4) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
robust_position(sk3),
lemma_10_47 ).
cnf(c_0_27,negated_conjecture,
( zero = tau
| smaller(zero,tau) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( zero = sigma
| ~ smaller_or_equal(zero,tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_16])]) ).
cnf(c_0_29,negated_conjecture,
( zero = tau
| smaller_or_equal(zero,tau) ),
inference(spm,[status(thm)],[c_0_18,c_0_27]) ).
cnf(c_0_30,axiom,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
definition_smaller_or_equal_3 ).
cnf(c_0_31,negated_conjecture,
( zero = tau
| zero = sigma ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( zero = sigma
| tau != sigma ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_34,negated_conjecture,
zero = sigma,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_35,negated_conjecture,
positional_advantage(sk3,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_34]),c_0_32])]) ).
cnf(c_0_36,negated_conjecture,
~ smaller_or_equal(sigma,tau),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_35]),c_0_26]),c_0_16]),c_0_34])]) ).
cnf(c_0_37,negated_conjecture,
tau = sigma,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_34]),c_0_34]),c_0_36]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT058-1 : TPTP v9.2.1. Released v2.4.0.
% 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
% 0.15/0.33 % Computer : n002.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:32:01 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------