%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT024+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n014.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 04:47:09 PM UTC 2026
% Result : Theorem 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 58 ( 13 unt; 0 def)
% Number of atoms : 259 ( 39 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 301 ( 100 ~; 139 |; 43 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_equilibrium,axiom,
! [X1,X2] :
( ( environment(X1)
& greater_or_equal(X2,equilibrium(X1)) )
=> ~ greater(equilibrium(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_equilibrium) ).
fof(prove_l6,conjecture,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,equilibrium(X1)) )
=> ( ( growth_rate(first_movers,X2) = zero
& growth_rate(efficient_producers,X2) = zero )
| ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6) ).
fof(a3,hypothesis,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(number_of_organizations(X1,X2),zero) )
=> ( ( greater(equilibrium(X1),X2)
=> decreases(resources(X1,X2)) )
& ( ~ greater(equilibrium(X1),X2)
=> constant(resources(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(mp_time_point_occur,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur) ).
fof(mp_positive_number_of_organizations,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> greater(number_of_organizations(X1,X2),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_number_of_organizations) ).
fof(a6,hypothesis,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( ( decreases(resources(X1,X2))
=> ~ decreases(number_of_organizations(X1,X2)) )
& ( constant(resources(X1,X2))
=> constant(number_of_organizations(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6) ).
fof(l7,hypothesis,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& constant(number_of_organizations(X1,X2)) )
=> ( ( growth_rate(first_movers,X2) = zero
& growth_rate(efficient_producers,X2) = zero )
| ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7) ).
fof(c_0_7,plain,
! [X1,X2] :
( ( environment(X1)
& greater_or_equal(X2,equilibrium(X1)) )
=> ~ greater(equilibrium(X1),X2) ),
inference(fof_simplification,[status(thm)],[mp_equilibrium]) ).
fof(c_0_8,negated_conjecture,
~ ! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,equilibrium(X1)) )
=> ( ( growth_rate(first_movers,X2) = zero
& growth_rate(efficient_producers,X2) = zero )
| ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ),
inference(assume_negation,[status(cth)],[prove_l6]) ).
fof(c_0_9,plain,
! [X21,X22] :
( ~ environment(X21)
| ~ greater_or_equal(X22,equilibrium(X21))
| ~ greater(equilibrium(X21),X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
fof(c_0_10,negated_conjecture,
( environment(esk1_0)
& subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
& greater_or_equal(esk2_0,equilibrium(esk1_0))
& ( growth_rate(first_movers,esk2_0) != zero
| growth_rate(efficient_producers,esk2_0) != zero )
& ( ~ greater(growth_rate(first_movers,esk2_0),zero)
| ~ greater(zero,growth_rate(efficient_producers,esk2_0)) )
& ( ~ greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ greater(zero,growth_rate(first_movers,esk2_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,hypothesis,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(number_of_organizations(X1,X2),zero) )
=> ( ( greater(equilibrium(X1),X2)
=> decreases(resources(X1,X2)) )
& ( ~ greater(equilibrium(X1),X2)
=> constant(resources(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[a3]) ).
fof(c_0_12,plain,
! [X17,X18] :
( ~ environment(X17)
| ~ subpopulations(first_movers,efficient_producers,X17,X18)
| in_environment(X17,X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_point_occur])]) ).
fof(c_0_13,plain,
! [X19,X20] :
( ~ environment(X19)
| ~ subpopulations(first_movers,efficient_producers,X19,X20)
| greater(number_of_organizations(X19,X20),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_positive_number_of_organizations])]) ).
fof(c_0_14,hypothesis,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( ( decreases(resources(X1,X2))
=> ~ decreases(number_of_organizations(X1,X2)) )
& ( constant(resources(X1,X2))
=> constant(number_of_organizations(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[a6]) ).
cnf(c_0_15,plain,
( ~ environment(X1)
| ~ greater_or_equal(X2,equilibrium(X1))
| ~ greater(equilibrium(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
greater_or_equal(esk2_0,equilibrium(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_18,hypothesis,
! [X23,X24] :
( ( ~ greater(equilibrium(X23),X24)
| decreases(resources(X23,X24))
| ~ environment(X23)
| ~ in_environment(X23,X24)
| ~ greater(number_of_organizations(X23,X24),zero) )
& ( greater(equilibrium(X23),X24)
| constant(resources(X23,X24))
| ~ environment(X23)
| ~ in_environment(X23,X24)
| ~ greater(number_of_organizations(X23,X24),zero) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_19,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
( greater(number_of_organizations(X1,X2),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_22,hypothesis,
! [X25,X26] :
( ( ~ decreases(resources(X25,X26))
| ~ decreases(number_of_organizations(X25,X26))
| ~ environment(X25)
| ~ in_environment(X25,X26) )
& ( ~ constant(resources(X25,X26))
| constant(number_of_organizations(X25,X26))
| ~ environment(X25)
| ~ in_environment(X25,X26) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_23,negated_conjecture,
~ greater(equilibrium(esk1_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_24,hypothesis,
( greater(equilibrium(X1),X2)
| constant(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(number_of_organizations(X1,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
in_environment(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_17])]) ).
cnf(c_0_26,negated_conjecture,
greater(number_of_organizations(esk1_0,esk2_0),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_17])]) ).
fof(c_0_27,hypothesis,
! [X27,X28] :
( ( greater(growth_rate(efficient_producers,X28),zero)
| greater(growth_rate(first_movers,X28),zero)
| growth_rate(first_movers,X28) = zero
| ~ environment(X27)
| ~ subpopulations(first_movers,efficient_producers,X27,X28)
| ~ constant(number_of_organizations(X27,X28)) )
& ( greater(zero,growth_rate(first_movers,X28))
| greater(growth_rate(first_movers,X28),zero)
| growth_rate(first_movers,X28) = zero
| ~ environment(X27)
| ~ subpopulations(first_movers,efficient_producers,X27,X28)
| ~ constant(number_of_organizations(X27,X28)) )
& ( greater(growth_rate(efficient_producers,X28),zero)
| greater(zero,growth_rate(efficient_producers,X28))
| growth_rate(first_movers,X28) = zero
| ~ environment(X27)
| ~ subpopulations(first_movers,efficient_producers,X27,X28)
| ~ constant(number_of_organizations(X27,X28)) )
& ( greater(zero,growth_rate(first_movers,X28))
| greater(zero,growth_rate(efficient_producers,X28))
| growth_rate(first_movers,X28) = zero
| ~ environment(X27)
| ~ subpopulations(first_movers,efficient_producers,X27,X28)
| ~ constant(number_of_organizations(X27,X28)) )
& ( greater(growth_rate(efficient_producers,X28),zero)
| greater(growth_rate(first_movers,X28),zero)
| growth_rate(efficient_producers,X28) = zero
| ~ environment(X27)
| ~ subpopulations(first_movers,efficient_producers,X27,X28)
| ~ constant(number_of_organizations(X27,X28)) )
& ( greater(zero,growth_rate(first_movers,X28))
| greater(growth_rate(first_movers,X28),zero)
| growth_rate(efficient_producers,X28) = zero
| ~ environment(X27)
| ~ subpopulations(first_movers,efficient_producers,X27,X28)
| ~ constant(number_of_organizations(X27,X28)) )
& ( greater(growth_rate(efficient_producers,X28),zero)
| greater(zero,growth_rate(efficient_producers,X28))
| growth_rate(efficient_producers,X28) = zero
| ~ environment(X27)
| ~ subpopulations(first_movers,efficient_producers,X27,X28)
| ~ constant(number_of_organizations(X27,X28)) )
& ( greater(zero,growth_rate(first_movers,X28))
| greater(zero,growth_rate(efficient_producers,X28))
| growth_rate(efficient_producers,X28) = zero
| ~ environment(X27)
| ~ subpopulations(first_movers,efficient_producers,X27,X28)
| ~ constant(number_of_organizations(X27,X28)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l7])])]) ).
cnf(c_0_28,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ constant(resources(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,hypothesis,
constant(resources(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_17])]),c_0_26])]) ).
cnf(c_0_30,hypothesis,
( greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(first_movers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_31,hypothesis,
constant(number_of_organizations(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25]),c_0_17])]) ).
cnf(c_0_32,hypothesis,
( greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(first_movers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,hypothesis,
( greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(first_movers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( ~ greater(growth_rate(first_movers,esk2_0),zero)
| ~ greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero)
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_20]),c_0_17])]),c_0_31])]) ).
cnf(c_0_36,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_20]),c_0_17])]),c_0_31])]) ).
cnf(c_0_37,hypothesis,
( greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(first_movers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,hypothesis,
( greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(efficient_producers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,hypothesis,
( greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(efficient_producers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,esk2_0),zero)
| ~ greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_41,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(efficient_producers,esk2_0),zero)
| greater(growth_rate(first_movers,esk2_0),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_20]),c_0_17])]),c_0_31])]) ).
cnf(c_0_42,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(efficient_producers,esk2_0),zero)
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_20]),c_0_17])]),c_0_31])]) ).
cnf(c_0_44,hypothesis,
( greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(efficient_producers,X1) = zero
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ constant(number_of_organizations(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_45,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero)
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_20]),c_0_17])]),c_0_31])]) ).
cnf(c_0_46,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0))
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_20]),c_0_17])]),c_0_31])]) ).
cnf(c_0_47,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(growth_rate(first_movers,esk2_0),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( growth_rate(first_movers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_43]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(growth_rate(efficient_producers,esk2_0),zero)
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_20]),c_0_17])]),c_0_31])]) ).
cnf(c_0_50,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(first_movers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_45]),c_0_46]) ).
cnf(c_0_51,negated_conjecture,
( growth_rate(first_movers,esk2_0) != zero
| growth_rate(efficient_producers,esk2_0) != zero ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_52,negated_conjecture,
growth_rate(first_movers,esk2_0) = zero,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_47]),c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( growth_rate(efficient_producers,esk2_0) = zero
| greater(zero,growth_rate(efficient_producers,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_49]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
growth_rate(efficient_producers,esk2_0) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).
cnf(c_0_55,negated_conjecture,
greater(zero,growth_rate(efficient_producers,esk2_0)),
inference(sr,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,negated_conjecture,
greater(zero,zero),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_52]),c_0_54]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_52]),c_0_55]),c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT024+1 : TPTP v9.2.1. Released v2.0.0.
% 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
% 0.15/0.33 % Computer : n014.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 23:27:51 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 Theorem for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------