%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT038-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:25:47 PM UTC 2026
% Result : Satisfiable 0.09s 5.59s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq2(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
finite_set(first_movers) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : ifeq(environment(A),true,ifeq(stable(A),true,in_environment(A,appear(first_movers,A)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] : ifeq(finite_set(A),true,ifeq(contracts_from(B,A),true,greater(sk1(B,A),B),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B] : ifeq2(finite_set(A),true,ifeq2(contracts_from(B,A),true,cardinality_at_time(s,t2),zero),zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [C,B,A] : ifeq(greater(C,B),true,ifeq(in_environment(A,B),true,ifeq(environment(A),true,ifeq(stable(A),true,in_environment(A,C),true),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [B,C,A] : ifeq(greater(B,C),true,ifeq(greater(A,B),true,greater(A,C),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [A] : ifeq(environment(A),true,ifeq(stable(A),true,greater(sk2(A),appear(efficient_producers,A)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [A] : ifeq(environment(A),true,ifeq(stable(A),true,contracts_from(sk2(A),first_movers),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [A] : ifeq(environment(A),true,greater(appear(efficient_producers,e),appear(first_movers,A)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
environment(sk3) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
stable(sk3) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [A] : tuple(cardinality_at_time(first_movers,to),in_environment(sk3,A),greater(A,appear(first_movers,sk3))) != tuple(zero,true,true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
finite_set(first_movers) = true,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
! [X0] : ifeq(environment(X0),true,ifeq(stable(X0),true,in_environment(X0,appear(first_movers,X0)),true),true) = true,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [X0,X1] : ifeq(finite_set(X0),true,ifeq(contracts_from(X1,X0),true,greater(sk1(X1,X0),X1),true),true) = true,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
! [X0,X1] : ifeq2(finite_set(X0),true,ifeq2(contracts_from(X1,X0),true,cardinality_at_time(s,t2),zero),zero) = zero,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : ifeq(greater(X0,X1),true,ifeq(in_environment(X2,X1),true,ifeq(environment(X2),true,ifeq(stable(X2),true,in_environment(X2,X0),true),true),true),true) = true,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f22,plain,
! [X0,X1,X2] : ifeq(greater(X0,X1),true,ifeq(greater(X2,X0),true,greater(X2,X1),true),true) = true,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0] : ifeq(environment(X0),true,ifeq(stable(X0),true,greater(sk2(X0),appear(efficient_producers,X0)),true),true) = true,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
! [X0] : ifeq(environment(X0),true,ifeq(stable(X0),true,contracts_from(sk2(X0),first_movers),true),true) = true,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f25,plain,
! [X0] : ifeq(environment(X0),true,greater(appear(efficient_producers,e),appear(first_movers,X0)),true) = true,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
environment(sk3) = true,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f27,plain,
stable(sk3) = true,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f28,plain,
! [X0] : tuple(cardinality_at_time(first_movers,to),in_environment(sk3,X0),greater(X0,appear(first_movers,sk3))) != tuple(zero,true,true),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f29,definition,
sF1_fnc = cardinality_at_time(first_movers,to),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f30,definition,
! [X0] : sF2_fnc(X0) = in_environment(sk3,X0),
introduced(definition,[new_symbols(definition,[sF2_fnc(X0)])],[function_definition]) ).
fof(f31,definition,
sF4_fnc = appear(first_movers,sk3),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f32,definition,
! [X0] : sF3_fnc(X0) = greater(X0,sF4_fnc),
introduced(definition,[new_symbols(definition,[sF3_fnc(X0)])],[function_definition]) ).
fof(f33,definition,
! [X0] : sF0_fnc(X0) = tuple(sF1_fnc,sF2_fnc(X0),sF3_fnc(X0)),
introduced(definition,[new_symbols(definition,[sF0_fnc(X0)])],[function_definition]) ).
fof(f34,definition,
sF5_fnc = tuple(zero,true,true),
introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).
fof(f35,plain,
! [X0] : sF0_fnc(X0) != sF5_fnc,
inference(definition_folding,[],[f28,f34,f33,f32,f31,f30,f29]) ).
fof(f36,plain,
! [X0,X1] : ifeq(sF3_fnc(X0),true,ifeq(greater(X1,X0),true,greater(X1,sF4_fnc),true),true) = true,
inference(paramodulation,[status(thm)],[f32,f22]) ).
fof(f37,plain,
! [X0,X1] : ifeq(greater(sF4_fnc,X0),true,ifeq(sF3_fnc(X1),true,greater(X1,X0),true),true) = true,
inference(paramodulation,[status(thm)],[f32,f22]) ).
fof(f39,plain,
! [X0,X1] : ifeq(sF3_fnc(X0),true,ifeq(greater(X1,X0),true,sF3_fnc(X1),true),true) = true,
inference(forward_demodulation,[status(thm)],[f32,f36]) ).
fof(f41,plain,
ifeq(true,true,ifeq(stable(sk3),true,in_environment(sk3,appear(first_movers,sk3)),true),true) = true,
inference(paramodulation,[status(thm)],[f26,f18]) ).
fof(f45,plain,
ifeq(true,true,ifeq(true,true,in_environment(sk3,appear(first_movers,sk3)),true),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f41]) ).
fof(f46,plain,
ifeq(true,true,ifeq(true,true,sF2_fnc(appear(first_movers,sk3)),true),true) = true,
inference(forward_demodulation,[status(thm)],[f30,f45]) ).
fof(f47,plain,
ifeq(true,true,ifeq(true,true,sF2_fnc(sF4_fnc),true),true) = true,
inference(forward_demodulation,[status(thm)],[f31,f46]) ).
fof(f57,plain,
! [X0,X1] : ifeq(sF3_fnc(X0),true,ifeq(in_environment(X1,sF4_fnc),true,ifeq(environment(X1),true,ifeq(stable(X1),true,in_environment(X1,X0),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f32,f21]) ).
fof(f58,plain,
! [X0,X1] : ifeq(greater(X0,X1),true,ifeq(sF2_fnc(X1),true,ifeq(environment(sk3),true,ifeq(stable(sk3),true,in_environment(sk3,X0),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f30,f21]) ).
fof(f59,plain,
! [X0,X1] : ifeq(greater(appear(first_movers,X0),X1),true,ifeq(in_environment(X0,X1),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f18,f21]) ).
fof(f63,plain,
! [X0,X1] : ifeq(greater(X0,X1),true,ifeq(sF2_fnc(X1),true,ifeq(true,true,ifeq(stable(sk3),true,in_environment(sk3,X0),true),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f26,f58]) ).
fof(f64,plain,
! [X0,X1] : ifeq(greater(X0,X1),true,ifeq(sF2_fnc(X1),true,ifeq(true,true,ifeq(true,true,in_environment(sk3,X0),true),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f63]) ).
fof(f65,plain,
! [X0,X1] : ifeq(greater(X0,X1),true,ifeq(sF2_fnc(X1),true,ifeq(true,true,ifeq(true,true,sF2_fnc(X0),true),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f30,f64]) ).
fof(f75,plain,
ifeq(true,true,sF2_fnc(sF4_fnc),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f47]) ).
fof(f76,plain,
sF2_fnc(sF4_fnc) = true,
inference(forward_demodulation,[status(thm)],[f16,f75]) ).
fof(f77,plain,
sF0_fnc(sF4_fnc) = tuple(sF1_fnc,true,sF3_fnc(sF4_fnc)),
inference(paramodulation,[status(thm)],[f76,f33]) ).
fof(f84,plain,
ifeq(true,true,greater(appear(efficient_producers,e),appear(first_movers,sk3)),true) = true,
inference(paramodulation,[status(thm)],[f26,f25]) ).
fof(f86,plain,
greater(appear(efficient_producers,e),appear(first_movers,sk3)) = true,
inference(forward_demodulation,[status(thm)],[f16,f84]) ).
fof(f87,plain,
greater(appear(efficient_producers,e),sF4_fnc) = true,
inference(forward_demodulation,[status(thm)],[f31,f86]) ).
fof(f88,plain,
sF3_fnc(appear(efficient_producers,e)) = true,
inference(forward_demodulation,[status(thm)],[f32,f87]) ).
fof(f92,plain,
! [X0] : ifeq(true,true,ifeq(contracts_from(X0,first_movers),true,greater(sk1(X0,first_movers),X0),true),true) = true,
inference(paramodulation,[status(thm)],[f17,f19]) ).
fof(f93,plain,
! [X0] : ifeq(finite_set(X0),true,ifeq(contracts_from(sF4_fnc,X0),true,sF3_fnc(sk1(sF4_fnc,X0)),true),true) = true,
inference(paramodulation,[status(thm)],[f32,f19]) ).
fof(f94,plain,
! [X0] : ifeq(contracts_from(X0,first_movers),true,greater(sk1(X0,first_movers),X0),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f92]) ).
fof(f95,plain,
! [X0] : ifeq2(true,true,ifeq2(contracts_from(X0,first_movers),true,cardinality_at_time(s,t2),zero),zero) = zero,
inference(paramodulation,[status(thm)],[f17,f20]) ).
fof(f96,plain,
! [X0] : ifeq2(contracts_from(X0,first_movers),true,cardinality_at_time(s,t2),zero) = zero,
inference(forward_demodulation,[status(thm)],[f15,f95]) ).
fof(f97,plain,
ifeq(true,true,ifeq(stable(sk3),true,greater(sk2(sk3),appear(efficient_producers,sk3)),true),true) = true,
inference(paramodulation,[status(thm)],[f26,f23]) ).
fof(f99,plain,
ifeq(stable(sk3),true,greater(sk2(sk3),appear(efficient_producers,sk3)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f97]) ).
fof(f100,plain,
ifeq(true,true,greater(sk2(sk3),appear(efficient_producers,sk3)),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f99]) ).
fof(f101,plain,
greater(sk2(sk3),appear(efficient_producers,sk3)) = true,
inference(forward_demodulation,[status(thm)],[f16,f100]) ).
fof(f105,plain,
sF0_fnc(appear(efficient_producers,e)) = tuple(sF1_fnc,sF2_fnc(appear(efficient_producers,e)),true),
inference(paramodulation,[status(thm)],[f88,f33]) ).
fof(f107,plain,
! [X0] : ifeq(true,true,ifeq(in_environment(X0,appear(efficient_producers,sk3)),true,ifeq(environment(X0),true,ifeq(stable(X0),true,in_environment(X0,sk2(sk3)),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f101,f21]) ).
fof(f108,plain,
! [X0] : ifeq(greater(X0,appear(efficient_producers,sk3)),true,ifeq(greater(sk2(sk3),X0),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f101,f22]) ).
fof(f109,plain,
! [X0] : ifeq(greater(appear(efficient_producers,sk3),X0),true,ifeq(true,true,greater(sk2(sk3),X0),true),true) = true,
inference(paramodulation,[status(thm)],[f101,f22]) ).
fof(f110,plain,
! [X0] : ifeq(true,true,ifeq(greater(X0,sk2(sk3)),true,greater(X0,appear(efficient_producers,sk3)),true),true) = true,
inference(paramodulation,[status(thm)],[f101,f22]) ).
fof(f114,plain,
! [X0] : ifeq(in_environment(X0,appear(efficient_producers,sk3)),true,ifeq(environment(X0),true,ifeq(stable(X0),true,in_environment(X0,sk2(sk3)),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f107]) ).
fof(f115,plain,
! [X0] : ifeq(greater(appear(efficient_producers,sk3),X0),true,greater(sk2(sk3),X0),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f109]) ).
fof(f116,plain,
! [X0] : ifeq(greater(X0,sk2(sk3)),true,greater(X0,appear(efficient_producers,sk3)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f110]) ).
fof(f117,plain,
! [X0] : ifeq(true,true,ifeq(greater(X0,appear(efficient_producers,e)),true,sF3_fnc(X0),true),true) = true,
inference(paramodulation,[status(thm)],[f88,f39]) ).
fof(f118,plain,
ifeq(sF3_fnc(appear(efficient_producers,sk3)),true,ifeq(true,true,sF3_fnc(sk2(sk3)),true),true) = true,
inference(paramodulation,[status(thm)],[f101,f39]) ).
fof(f119,plain,
! [X0] : ifeq(sF3_fnc(sF4_fnc),true,ifeq(sF3_fnc(X0),true,sF3_fnc(X0),true),true) = true,
inference(paramodulation,[status(thm)],[f32,f39]) ).
fof(f120,plain,
! [X0] : ifeq(sF3_fnc(X0),true,ifeq(greater(appear(efficient_producers,e),X0),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f88,f39]) ).
fof(f121,plain,
! [X0] : ifeq(greater(X0,appear(efficient_producers,e)),true,sF3_fnc(X0),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f117]) ).
fof(f122,plain,
ifeq(sF3_fnc(appear(efficient_producers,sk3)),true,sF3_fnc(sk2(sk3)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f118]) ).
fof(f123,plain,
ifeq(greater(appear(efficient_producers,e),appear(efficient_producers,e)),true,true,true) = true,
inference(paramodulation,[status(thm)],[f88,f121]) ).
fof(f127,plain,
ifeq(greater(appear(efficient_producers,sk3),appear(efficient_producers,sk3)),true,true,true) = true,
inference(paramodulation,[status(thm)],[f101,f115]) ).
fof(f132,plain,
! [X0] : ifeq(greater(sF4_fnc,X0),true,ifeq(true,true,greater(appear(efficient_producers,e),X0),true),true) = true,
inference(paramodulation,[status(thm)],[f88,f37]) ).
fof(f133,plain,
ifeq(greater(sF4_fnc,appear(efficient_producers,sk3)),true,ifeq(sF3_fnc(sk2(sk3)),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f101,f37]) ).
fof(f136,plain,
! [X0] : ifeq(greater(sF4_fnc,X0),true,greater(appear(efficient_producers,e),X0),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f132]) ).
fof(f138,plain,
! [X0] : ifeq(true,true,ifeq(in_environment(X0,sF4_fnc),true,ifeq(environment(X0),true,ifeq(stable(X0),true,in_environment(X0,appear(efficient_producers,e)),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f88,f57]) ).
fof(f139,plain,
! [X0] : ifeq(sF3_fnc(X0),true,ifeq(sF2_fnc(sF4_fnc),true,ifeq(environment(sk3),true,ifeq(stable(sk3),true,in_environment(sk3,X0),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f30,f57]) ).
fof(f140,plain,
! [X0] : ifeq(sF3_fnc(appear(first_movers,X0)),true,ifeq(in_environment(X0,sF4_fnc),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f18,f57]) ).
fof(f144,plain,
! [X0] : ifeq(in_environment(X0,sF4_fnc),true,ifeq(environment(X0),true,ifeq(stable(X0),true,in_environment(X0,appear(efficient_producers,e)),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f138]) ).
fof(f145,plain,
! [X0] : ifeq(sF3_fnc(X0),true,ifeq(true,true,ifeq(environment(sk3),true,ifeq(stable(sk3),true,in_environment(sk3,X0),true),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f76,f139]) ).
fof(f146,plain,
! [X0] : ifeq(sF3_fnc(X0),true,ifeq(environment(sk3),true,ifeq(stable(sk3),true,in_environment(sk3,X0),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f145]) ).
fof(f147,plain,
! [X0] : ifeq(sF3_fnc(X0),true,ifeq(true,true,ifeq(stable(sk3),true,in_environment(sk3,X0),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f26,f146]) ).
fof(f148,plain,
! [X0] : ifeq(sF3_fnc(X0),true,ifeq(stable(sk3),true,in_environment(sk3,X0),true),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f147]) ).
fof(f149,plain,
! [X0] : ifeq(sF3_fnc(X0),true,ifeq(true,true,in_environment(sk3,X0),true),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f148]) ).
fof(f150,plain,
! [X0] : ifeq(sF3_fnc(X0),true,in_environment(sk3,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f149]) ).
fof(f151,plain,
! [X0] : ifeq(sF3_fnc(X0),true,sF2_fnc(X0),true) = true,
inference(forward_demodulation,[status(thm)],[f30,f150]) ).
fof(f173,plain,
ifeq(true,true,sF2_fnc(appear(efficient_producers,e)),true) = true,
inference(paramodulation,[status(thm)],[f88,f151]) ).
fof(f174,plain,
ifeq(sF3_fnc(sF4_fnc),true,true,true) = true,
inference(paramodulation,[status(thm)],[f76,f151]) ).
fof(f175,plain,
sF2_fnc(appear(efficient_producers,e)) = true,
inference(forward_demodulation,[status(thm)],[f16,f173]) ).
fof(f176,plain,
sF0_fnc(appear(efficient_producers,e)) = tuple(sF1_fnc,true,true),
inference(backward_demodulation,[status(thm)],[f175,f105]) ).
fof(f183,plain,
ifeq(true,true,ifeq(stable(sk3),true,contracts_from(sk2(sk3),first_movers),true),true) = true,
inference(paramodulation,[status(thm)],[f26,f24]) ).
fof(f185,plain,
ifeq(stable(sk3),true,contracts_from(sk2(sk3),first_movers),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f183]) ).
fof(f186,plain,
ifeq(true,true,contracts_from(sk2(sk3),first_movers),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f185]) ).
fof(f187,plain,
contracts_from(sk2(sk3),first_movers) = true,
inference(forward_demodulation,[status(thm)],[f16,f186]) ).
fof(f191,plain,
! [X0,X1] : ifeq(greater(X0,X1),true,ifeq(sF2_fnc(X1),true,ifeq(true,true,sF2_fnc(X0),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f65]) ).
fof(f192,plain,
! [X0,X1] : ifeq(greater(X0,X1),true,ifeq(sF2_fnc(X1),true,sF2_fnc(X0),true),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f191]) ).
fof(f193,plain,
ifeq(true,true,ifeq(sF2_fnc(appear(efficient_producers,sk3)),true,sF2_fnc(sk2(sk3)),true),true) = true,
inference(paramodulation,[status(thm)],[f101,f192]) ).
fof(f195,plain,
! [X0] : ifeq(greater(X0,appear(efficient_producers,e)),true,ifeq(true,true,sF2_fnc(X0),true),true) = true,
inference(paramodulation,[status(thm)],[f175,f192]) ).
fof(f197,plain,
! [X0] : ifeq(greater(appear(efficient_producers,e),X0),true,ifeq(sF2_fnc(X0),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f175,f192]) ).
fof(f198,plain,
! [X0] : ifeq(greater(sF4_fnc,X0),true,ifeq(sF2_fnc(X0),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f76,f192]) ).
fof(f199,plain,
ifeq(sF2_fnc(appear(efficient_producers,sk3)),true,sF2_fnc(sk2(sk3)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f193]) ).
fof(f202,plain,
! [X0] : ifeq(greater(X0,appear(efficient_producers,e)),true,sF2_fnc(X0),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f195]) ).
fof(f211,plain,
ifeq2(true,true,cardinality_at_time(s,t2),zero) = zero,
inference(paramodulation,[status(thm)],[f187,f96]) ).
fof(f213,plain,
ifeq(finite_set(first_movers),true,ifeq(true,true,greater(sk1(sk2(sk3),first_movers),sk2(sk3)),true),true) = true,
inference(paramodulation,[status(thm)],[f187,f19]) ).
fof(f217,plain,
cardinality_at_time(s,t2) = zero,
inference(forward_demodulation,[status(thm)],[f15,f211]) ).
fof(f221,plain,
ifeq(true,true,ifeq(true,true,greater(sk1(sk2(sk3),first_movers),sk2(sk3)),true),true) = true,
inference(forward_demodulation,[status(thm)],[f17,f213]) ).
fof(f222,plain,
ifeq(true,true,greater(sk1(sk2(sk3),first_movers),sk2(sk3)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f221]) ).
fof(f223,plain,
greater(sk1(sk2(sk3),first_movers),sk2(sk3)) = true,
inference(forward_demodulation,[status(thm)],[f16,f222]) ).
fof(f224,plain,
! [X0] : ifeq2(contracts_from(X0,first_movers),true,zero,zero) = zero,
inference(backward_demodulation,[status(thm)],[f217,f96]) ).
fof(f225,plain,
! [X0,X1] : ifeq2(finite_set(X0),true,ifeq2(contracts_from(X1,X0),true,zero,zero),zero) = zero,
inference(backward_demodulation,[status(thm)],[f217,f20]) ).
fof(f235,plain,
ifeq(true,true,ifeq(sF2_fnc(sk2(sk3)),true,sF2_fnc(sk1(sk2(sk3),first_movers)),true),true) = true,
inference(paramodulation,[status(thm)],[f223,f192]) ).
fof(f236,plain,
ifeq(greater(sF4_fnc,sk2(sk3)),true,ifeq(sF3_fnc(sk1(sk2(sk3),first_movers)),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f223,f37]) ).
fof(f237,plain,
ifeq(sF3_fnc(sk2(sk3)),true,ifeq(true,true,sF3_fnc(sk1(sk2(sk3),first_movers)),true),true) = true,
inference(paramodulation,[status(thm)],[f223,f39]) ).
fof(f238,plain,
! [X0] : ifeq(true,true,ifeq(in_environment(X0,sk2(sk3)),true,ifeq(environment(X0),true,ifeq(stable(X0),true,in_environment(X0,sk1(sk2(sk3),first_movers)),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f223,f21]) ).
fof(f239,plain,
! [X0] : ifeq(greater(X0,sk2(sk3)),true,ifeq(greater(sk1(sk2(sk3),first_movers),X0),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f223,f22]) ).
fof(f240,plain,
! [X0] : ifeq(greater(sk2(sk3),X0),true,ifeq(true,true,greater(sk1(sk2(sk3),first_movers),X0),true),true) = true,
inference(paramodulation,[status(thm)],[f223,f22]) ).
fof(f241,plain,
! [X0] : ifeq(true,true,ifeq(greater(X0,sk1(sk2(sk3),first_movers)),true,greater(X0,sk2(sk3)),true),true) = true,
inference(paramodulation,[status(thm)],[f223,f22]) ).
fof(f245,plain,
ifeq(sF2_fnc(sk2(sk3)),true,sF2_fnc(sk1(sk2(sk3),first_movers)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f235]) ).
fof(f246,plain,
ifeq(sF3_fnc(sk2(sk3)),true,sF3_fnc(sk1(sk2(sk3),first_movers)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f237]) ).
fof(f247,plain,
! [X0] : ifeq(in_environment(X0,sk2(sk3)),true,ifeq(environment(X0),true,ifeq(stable(X0),true,in_environment(X0,sk1(sk2(sk3),first_movers)),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f238]) ).
fof(f248,plain,
! [X0] : ifeq(greater(sk2(sk3),X0),true,greater(sk1(sk2(sk3),first_movers),X0),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f240]) ).
fof(f249,plain,
! [X0] : ifeq(greater(X0,sk1(sk2(sk3),first_movers)),true,greater(X0,sk2(sk3)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f241]) ).
fof(f251,plain,
ifeq(greater(sF4_fnc,appear(efficient_producers,e)),true,true,true) = true,
inference(paramodulation,[status(thm)],[f76,f202]) ).
fof(f258,plain,
ifeq(contracts_from(sF4_fnc,first_movers),true,sF3_fnc(sk1(sF4_fnc,first_movers)),true) = true,
inference(paramodulation,[status(thm)],[f32,f94]) ).
fof(f271,plain,
ifeq(true,true,greater(sk1(sk2(sk3),first_movers),appear(efficient_producers,sk3)),true) = true,
inference(paramodulation,[status(thm)],[f223,f116]) ).
fof(f272,plain,
ifeq(greater(sk2(sk3),sk2(sk3)),true,true,true) = true,
inference(paramodulation,[status(thm)],[f101,f116]) ).
fof(f274,plain,
greater(sk1(sk2(sk3),first_movers),appear(efficient_producers,sk3)) = true,
inference(forward_demodulation,[status(thm)],[f16,f271]) ).
fof(f277,plain,
ifeq(true,true,ifeq(sF2_fnc(appear(efficient_producers,sk3)),true,sF2_fnc(sk1(sk2(sk3),first_movers)),true),true) = true,
inference(paramodulation,[status(thm)],[f274,f192]) ).
fof(f278,plain,
ifeq(greater(sF4_fnc,appear(efficient_producers,sk3)),true,ifeq(sF3_fnc(sk1(sk2(sk3),first_movers)),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f274,f37]) ).
fof(f279,plain,
ifeq(sF3_fnc(appear(efficient_producers,sk3)),true,ifeq(true,true,sF3_fnc(sk1(sk2(sk3),first_movers)),true),true) = true,
inference(paramodulation,[status(thm)],[f274,f39]) ).
fof(f280,plain,
! [X0] : ifeq(true,true,ifeq(in_environment(X0,appear(efficient_producers,sk3)),true,ifeq(environment(X0),true,ifeq(stable(X0),true,in_environment(X0,sk1(sk2(sk3),first_movers)),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f274,f21]) ).
fof(f281,plain,
! [X0] : ifeq(greater(X0,appear(efficient_producers,sk3)),true,ifeq(greater(sk1(sk2(sk3),first_movers),X0),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f274,f22]) ).
fof(f282,plain,
! [X0] : ifeq(greater(appear(efficient_producers,sk3),X0),true,ifeq(true,true,greater(sk1(sk2(sk3),first_movers),X0),true),true) = true,
inference(paramodulation,[status(thm)],[f274,f22]) ).
fof(f283,plain,
! [X0] : ifeq(true,true,ifeq(greater(X0,sk1(sk2(sk3),first_movers)),true,greater(X0,appear(efficient_producers,sk3)),true),true) = true,
inference(paramodulation,[status(thm)],[f274,f22]) ).
fof(f285,plain,
ifeq(sF2_fnc(appear(efficient_producers,sk3)),true,sF2_fnc(sk1(sk2(sk3),first_movers)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f277]) ).
fof(f286,plain,
ifeq(sF3_fnc(appear(efficient_producers,sk3)),true,sF3_fnc(sk1(sk2(sk3),first_movers)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f279]) ).
fof(f287,plain,
! [X0] : ifeq(in_environment(X0,appear(efficient_producers,sk3)),true,ifeq(environment(X0),true,ifeq(stable(X0),true,in_environment(X0,sk1(sk2(sk3),first_movers)),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f280]) ).
fof(f288,plain,
! [X0] : ifeq(greater(appear(efficient_producers,sk3),X0),true,greater(sk1(sk2(sk3),first_movers),X0),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f282]) ).
fof(f289,plain,
! [X0] : ifeq(greater(X0,sk1(sk2(sk3),first_movers)),true,greater(X0,appear(efficient_producers,sk3)),true) = true,
inference(forward_demodulation,[status(thm)],[f16,f283]) ).
fof(f328,plain,
ifeq(true,true,ifeq(greater(sk2(sk3),sk1(sk2(sk3),first_movers)),true,true,true),true) = true,
inference(paramodulation,[status(thm)],[f274,f108]) ).
fof(f333,plain,
ifeq(greater(sk2(sk3),sk1(sk2(sk3),first_movers)),true,true,true) = true,
inference(forward_demodulation,[status(thm)],[f16,f328]) ).
fof(f365,plain,
ifeq(greater(sk1(sk2(sk3),first_movers),sk1(sk2(sk3),first_movers)),true,true,true) = true,
inference(paramodulation,[status(thm)],[f223,f249]) ).
fof(f390,plain,
ifeq(greater(appear(efficient_producers,sk3),sk2(sk3)),true,true,true) = true,
inference(paramodulation,[status(thm)],[f223,f288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT038-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.57 % Computer : n008.cluster.edu
% 0.09/5.57 % Model : x86_64 x86_64
% 0.09/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57 % Memory : 8046.5625MB
% 0.09/5.57 % OS : Linux 6.8.0-71-generic
% 0.09/5.57 % CPULimit : 300
% 0.09/5.57 % WCLimit : 300
% 0.09/5.57 % DateTime : Mon Sep 21 01:24:00 UTC 2026
% 0.09/5.58 % CPUTime :
% 0.09/5.58 % Drodi V4.1.1
% 0.09/5.59 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.09/5.59 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/5.62 % Elapsed time: 0.033260 seconds
% 0.14/5.62 % CPU time: 0.109482 seconds
% 0.14/5.62 % Total memory used: 4.705 MB
% 0.14/5.62 % Net memory used: 4.675 MB
%------------------------------------------------------------------------------