%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT024+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:50:37 AM UTC 2026
% Result : Theorem 30.26s 30.59s
% Output : Proof 30.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(mp_time_point_occur,axiom,
! [E,T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& environment(E) )
=> in_environment(E,T) ),
file('theBenchmark.p',mp_time_point_occur) ).
fof(mp_positive_number_of_organizations,axiom,
! [E,T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& environment(E) )
=> greater(number_of_organizations(E,T),zero) ),
file('theBenchmark.p',mp_positive_number_of_organizations) ).
fof(mp_equilibrium,axiom,
! [E,T] :
( ( greater_or_equal(T,equilibrium(E))
& environment(E) )
=> ~ greater(equilibrium(E),T) ),
file('theBenchmark.p',mp_equilibrium) ).
fof(a3,hypothesis,
! [E,T] :
( ( greater(number_of_organizations(E,T),zero)
& in_environment(E,T)
& environment(E) )
=> ( ( ~ greater(equilibrium(E),T)
=> constant(resources(E,T)) )
& ( greater(equilibrium(E),T)
=> decreases(resources(E,T)) ) ) ),
file('theBenchmark.p',a3) ).
fof(a6,hypothesis,
! [E,T] :
( ( in_environment(E,T)
& environment(E) )
=> ( ( constant(resources(E,T))
=> constant(number_of_organizations(E,T)) )
& ( decreases(resources(E,T))
=> ~ decreases(number_of_organizations(E,T)) ) ) ),
file('theBenchmark.p',a6) ).
fof(l7,hypothesis,
! [E,T] :
( ( constant(number_of_organizations(E,T))
& subpopulations(first_movers,efficient_producers,E,T)
& environment(E) )
=> ( ( greater(zero,growth_rate(first_movers,T))
& greater(growth_rate(efficient_producers,T),zero) )
| ( greater(zero,growth_rate(efficient_producers,T))
& greater(growth_rate(first_movers,T),zero) )
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero ) ) ),
file('theBenchmark.p',l7) ).
fof(prove_l6,conjecture,
! [E,T] :
( ( greater_or_equal(T,equilibrium(E))
& subpopulations(first_movers,efficient_producers,E,T)
& environment(E) )
=> ( ( greater(zero,growth_rate(first_movers,T))
& greater(growth_rate(efficient_producers,T),zero) )
| ( greater(zero,growth_rate(efficient_producers,T))
& greater(growth_rate(first_movers,T),zero) )
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero ) ) ),
file('theBenchmark.p',prove_l6) ).
fof(f_1_1,plain,
! [E,T] :
( in_environment(E,T)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ),
inference(fof_nnf,[status(thm)],[mp_time_point_occur]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( in_environment(U_1,U_0)
| ~ subpopulations(first_movers,efficient_producers,U_1,U_0)
| ~ environment(U_1) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_1,U_0] :
( in_environment(U_1,U_0)
| ~ subpopulations(first_movers,efficient_producers,U_1,U_0)
| ~ environment(U_1) ),
inference(definitional_conversion,[status(esa)],[f_1_2]) ).
cnf(f_1_4,plain,
( in_environment(U_1,U_0)
| ~ subpopulations(first_movers,efficient_producers,U_1,U_0)
| ~ environment(U_1) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [E,T] :
( greater(number_of_organizations(E,T),zero)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ),
inference(fof_nnf,[status(thm)],[mp_positive_number_of_organizations]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( greater(number_of_organizations(U_3,U_2),zero)
| ~ subpopulations(first_movers,efficient_producers,U_3,U_2)
| ~ environment(U_3) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_3,U_2] :
( greater(number_of_organizations(U_3,U_2),zero)
| ~ subpopulations(first_movers,efficient_producers,U_3,U_2)
| ~ environment(U_3) ),
inference(definitional_conversion,[status(esa)],[f_2_2]) ).
cnf(f_2_4,plain,
( greater(number_of_organizations(U_3,U_2),zero)
| ~ subpopulations(first_movers,efficient_producers,U_3,U_2)
| ~ environment(U_3) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [E,T] :
( ~ greater(equilibrium(E),T)
| ~ greater_or_equal(T,equilibrium(E))
| ~ environment(E) ),
inference(fof_nnf,[status(thm)],[mp_equilibrium]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( ~ greater(equilibrium(U_5),U_4)
| ~ greater_or_equal(U_4,equilibrium(U_5))
| ~ environment(U_5) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_4,U_5] :
( ~ greater(equilibrium(U_5),U_4)
| ~ greater_or_equal(U_4,equilibrium(U_5))
| ~ environment(U_5) ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( ~ greater(equilibrium(U_5),U_4)
| ~ greater_or_equal(U_4,equilibrium(U_5))
| ~ environment(U_5) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [E,T] :
( ( ( constant(resources(E,T))
| greater(equilibrium(E),T) )
& ( decreases(resources(E,T))
| ~ greater(equilibrium(E),T) ) )
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(fof_nnf,[status(thm)],[a3]) ).
fof(f_4_2,plain,
! [U_7,U_6] :
( ( ( constant(resources(U_7,U_6))
| greater(equilibrium(U_7),U_6) )
& ( decreases(resources(U_7,U_6))
| ~ greater(equilibrium(U_7),U_6) ) )
| ~ greater(number_of_organizations(U_7,U_6),zero)
| ~ in_environment(U_7,U_6)
| ~ environment(U_7) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_7,U_6] :
( constant(resources(U_7,U_6))
| greater(equilibrium(U_7),U_6)
| ~ sP0(U_7,U_6) )
& ! [U_7,U_6] :
( decreases(resources(U_7,U_6))
| ~ greater(equilibrium(U_7),U_6)
| ~ sP0(U_7,U_6) )
& ! [U_7,U_6] :
( sP0(U_7,U_6)
| ~ greater(number_of_organizations(U_7,U_6),zero)
| ~ in_environment(U_7,U_6)
| ~ environment(U_7) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_4_2]) ).
cnf(f_4_4,plain,
( sP0(U_7,U_6)
| ~ greater(number_of_organizations(U_7,U_6),zero)
| ~ in_environment(U_7,U_6)
| ~ environment(U_7) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_5,plain,
( decreases(resources(U_7,U_6))
| ~ greater(equilibrium(U_7),U_6)
| ~ sP0(U_7,U_6) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_6,plain,
( constant(resources(U_7,U_6))
| greater(equilibrium(U_7),U_6)
| ~ sP0(U_7,U_6) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [E,T] :
( ( ( constant(number_of_organizations(E,T))
| ~ constant(resources(E,T)) )
& ( ~ decreases(number_of_organizations(E,T))
| ~ decreases(resources(E,T)) ) )
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(fof_nnf,[status(thm)],[a6]) ).
fof(f_5_2,plain,
! [U_9,U_8] :
( ( ( constant(number_of_organizations(U_9,U_8))
| ~ constant(resources(U_9,U_8)) )
& ( ~ decreases(number_of_organizations(U_9,U_8))
| ~ decreases(resources(U_9,U_8)) ) )
| ~ in_environment(U_9,U_8)
| ~ environment(U_9) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_9,U_8] :
( constant(number_of_organizations(U_9,U_8))
| ~ constant(resources(U_9,U_8))
| ~ sP1(U_9,U_8) )
& ! [U_9,U_8] :
( ~ decreases(number_of_organizations(U_9,U_8))
| ~ decreases(resources(U_9,U_8))
| ~ sP1(U_9,U_8) )
& ! [U_9,U_8] :
( sP1(U_9,U_8)
| ~ in_environment(U_9,U_8)
| ~ environment(U_9) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_5_2]) ).
cnf(f_5_4,plain,
( sP1(U_9,U_8)
| ~ in_environment(U_9,U_8)
| ~ environment(U_9) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_5,plain,
( ~ decreases(number_of_organizations(U_9,U_8))
| ~ decreases(resources(U_9,U_8))
| ~ sP1(U_9,U_8) ),
inference(clausify,[status(thm)],[f_5_3]) ).
cnf(f_5_6,plain,
( constant(number_of_organizations(U_9,U_8))
| ~ constant(resources(U_9,U_8))
| ~ sP1(U_9,U_8) ),
inference(clausify,[status(thm)],[f_5_3]) ).
fof(f_6_1,plain,
! [E,T] :
( ( greater(zero,growth_rate(first_movers,T))
& greater(growth_rate(efficient_producers,T),zero) )
| ( greater(zero,growth_rate(efficient_producers,T))
& greater(growth_rate(first_movers,T),zero) )
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero )
| ~ constant(number_of_organizations(E,T))
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ~ environment(E) ),
inference(fof_nnf,[status(thm)],[l7]) ).
fof(f_6_2,plain,
! [U_11,U_10] :
( ( greater(zero,growth_rate(first_movers,U_10))
& greater(growth_rate(efficient_producers,U_10),zero) )
| ( greater(zero,growth_rate(efficient_producers,U_10))
& greater(growth_rate(first_movers,U_10),zero) )
| ( growth_rate(efficient_producers,U_10) = zero
& growth_rate(first_movers,U_10) = zero )
| ~ constant(number_of_organizations(U_11,U_10))
| ~ subpopulations(first_movers,efficient_producers,U_11,U_10)
| ~ environment(U_11) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_10] :
( greater(zero,growth_rate(first_movers,U_10))
| ~ sP4(U_10) )
& ! [U_10] :
( greater(growth_rate(efficient_producers,U_10),zero)
| ~ sP4(U_10) )
& ! [U_10] :
( greater(zero,growth_rate(efficient_producers,U_10))
| ~ sP3(U_10) )
& ! [U_10] :
( greater(growth_rate(first_movers,U_10),zero)
| ~ sP3(U_10) )
& ! [U_10] :
( growth_rate(efficient_producers,U_10) = zero
| ~ sP2(U_10) )
& ! [U_10] :
( growth_rate(first_movers,U_10) = zero
| ~ sP2(U_10) )
& ! [U_11,U_10] :
( sP4(U_10)
| sP3(U_10)
| sP2(U_10)
| ~ constant(number_of_organizations(U_11,U_10))
| ~ subpopulations(first_movers,efficient_producers,U_11,U_10)
| ~ environment(U_11) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2,sP3,sP4])],[f_6_2]) ).
cnf(f_6_4,plain,
( sP4(U_10)
| sP3(U_10)
| sP2(U_10)
| ~ constant(number_of_organizations(U_11,U_10))
| ~ subpopulations(first_movers,efficient_producers,U_11,U_10)
| ~ environment(U_11) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_5,plain,
( growth_rate(first_movers,U_10) = zero
| ~ sP2(U_10) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_6,plain,
( growth_rate(efficient_producers,U_10) = zero
| ~ sP2(U_10) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_7,plain,
( greater(growth_rate(first_movers,U_10),zero)
| ~ sP3(U_10) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_8,plain,
( greater(zero,growth_rate(efficient_producers,U_10))
| ~ sP3(U_10) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_9,plain,
( greater(growth_rate(efficient_producers,U_10),zero)
| ~ sP4(U_10) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_10,plain,
( greater(zero,growth_rate(first_movers,U_10))
| ~ sP4(U_10) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,negated_conjecture,
~ ! [E,T] :
( ( greater_or_equal(T,equilibrium(E))
& subpopulations(first_movers,efficient_producers,E,T)
& environment(E) )
=> ( ( greater(zero,growth_rate(first_movers,T))
& greater(growth_rate(efficient_producers,T),zero) )
| ( greater(zero,growth_rate(efficient_producers,T))
& greater(growth_rate(first_movers,T),zero) )
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero ) ) ),
inference(negate,[status(cth)],[prove_l6]) ).
fof(f_7_2,negated_conjecture,
? [E,T] :
( ( ~ greater(zero,growth_rate(first_movers,T))
| ~ greater(growth_rate(efficient_producers,T),zero) )
& ( ~ greater(zero,growth_rate(efficient_producers,T))
| ~ greater(growth_rate(first_movers,T),zero) )
& ( growth_rate(efficient_producers,T) != zero
| growth_rate(first_movers,T) != zero )
& greater_or_equal(T,equilibrium(E))
& subpopulations(first_movers,efficient_producers,E,T)
& environment(E) ),
inference(fof_nnf,[status(thm)],[f_7_1]) ).
fof(f_7_3,negated_conjecture,
? [U_13,U_12] :
( ( ~ greater(zero,growth_rate(first_movers,U_12))
| ~ greater(growth_rate(efficient_producers,U_12),zero) )
& ( ~ greater(zero,growth_rate(efficient_producers,U_12))
| ~ greater(growth_rate(first_movers,U_12),zero) )
& ( growth_rate(efficient_producers,U_12) != zero
| growth_rate(first_movers,U_12) != zero )
& greater_or_equal(U_12,equilibrium(U_13))
& subpopulations(first_movers,efficient_producers,U_13,U_12)
& environment(U_13) ),
inference(variable_rename,[status(thm)],[f_7_2]) ).
fof(f_7_4,negated_conjecture,
? [U_12] :
( ( ~ greater(zero,growth_rate(first_movers,U_12))
| ~ greater(growth_rate(efficient_producers,U_12),zero) )
& ( ~ greater(zero,growth_rate(efficient_producers,U_12))
| ~ greater(growth_rate(first_movers,U_12),zero) )
& ( growth_rate(efficient_producers,U_12) != zero
| growth_rate(first_movers,U_12) != zero )
& greater_or_equal(U_12,equilibrium(sK1))
& subpopulations(first_movers,efficient_producers,sK1,U_12)
& environment(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_13,sK1)],[f_7_3]) ).
fof(f_7_5,negated_conjecture,
( ( ~ greater(zero,growth_rate(first_movers,sK2))
| ~ greater(growth_rate(efficient_producers,sK2),zero) )
& ( ~ greater(zero,growth_rate(efficient_producers,sK2))
| ~ greater(growth_rate(first_movers,sK2),zero) )
& ( growth_rate(efficient_producers,sK2) != zero
| growth_rate(first_movers,sK2) != zero )
& greater_or_equal(sK2,equilibrium(sK1))
& subpopulations(first_movers,efficient_producers,sK1,sK2)
& environment(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_12,sK2)],[f_7_4]) ).
fof(f_7_6,negated_conjecture,
( ( ~ greater(zero,growth_rate(first_movers,sK2))
| ~ greater(growth_rate(efficient_producers,sK2),zero) )
& ( ~ greater(zero,growth_rate(efficient_producers,sK2))
| ~ greater(growth_rate(first_movers,sK2),zero) )
& ( growth_rate(efficient_producers,sK2) != zero
| growth_rate(first_movers,sK2) != zero )
& greater_or_equal(sK2,equilibrium(sK1))
& subpopulations(first_movers,efficient_producers,sK1,sK2)
& environment(sK1) ),
inference(definitional_conversion,[status(esa)],[f_7_5]) ).
cnf(f_7_7,negated_conjecture,
environment(sK1),
inference(clausify,[status(thm)],[f_7_6]) ).
cnf(f_7_8,negated_conjecture,
subpopulations(first_movers,efficient_producers,sK1,sK2),
inference(clausify,[status(thm)],[f_7_6]) ).
cnf(f_7_9,negated_conjecture,
greater_or_equal(sK2,equilibrium(sK1)),
inference(clausify,[status(thm)],[f_7_6]) ).
cnf(f_7_10,negated_conjecture,
( growth_rate(efficient_producers,sK2) != zero
| growth_rate(first_movers,sK2) != zero ),
inference(clausify,[status(thm)],[f_7_6]) ).
cnf(f_7_11,negated_conjecture,
( ~ greater(zero,growth_rate(efficient_producers,sK2))
| ~ greater(growth_rate(first_movers,sK2),zero) ),
inference(clausify,[status(thm)],[f_7_6]) ).
cnf(f_7_12,negated_conjecture,
( ~ greater(zero,growth_rate(first_movers,sK2))
| ~ greater(growth_rate(efficient_producers,sK2),zero) ),
inference(clausify,[status(thm)],[f_7_6]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( number_of_organizations(Eq_x_0,Eq_x_1) = number_of_organizations(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( equilibrium(Eq_x_0) = equilibrium(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( resources(Eq_x_0,Eq_x_1) = resources(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( growth_rate(Eq_x_0,Eq_x_1) = growth_rate(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( environment(Eq_y_0)
| ~ environment(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_9,axiom,
( subpopulations(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ subpopulations(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_10,axiom,
( in_environment(Eq_y_0,Eq_y_1)
| ~ in_environment(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( greater(Eq_y_0,Eq_y_1)
| ~ greater(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( greater_or_equal(Eq_y_0,Eq_y_1)
| ~ greater_or_equal(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( decreases(Eq_y_0)
| ~ decreases(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( constant(Eq_y_0)
| ~ constant(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( sP0(Eq_y_0,Eq_y_1)
| ~ sP0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( sP1(Eq_y_0,Eq_y_1)
| ~ sP1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( sP2(Eq_y_0)
| ~ sP2(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( sP3(Eq_y_0)
| ~ sP3(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,axiom,
( sP4(Eq_y_0)
| ~ sP4(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT024+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 19 16:18:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 30.26/30.59 % SZS status Theorem for theBenchmark
% 30.26/30.59 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------