%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT038-10 : TPTP v9.2.1. Released v7.5.0.
% 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 : n018.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 04:48:16 PM UTC 2026
% Result : Satisfiable 1.25s 1.73s
% Output : Saturation 1.25s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(l9_23,hypothesis,
ifeq(environment(X1),true,ifeq(stable(X1),true,greater(sk2(X1),appear(efficient_producers,X1)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l9_23) ).
cnf(prove_t7_27,negated_conjecture,
stable(sk3) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t7_27) ).
cnf(prove_t7_26,negated_conjecture,
environment(sk3) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t7_26) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(l9_24,hypothesis,
ifeq(environment(X1),true,ifeq(stable(X1),true,contracts_from(sk2(X1),first_movers),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l9_24) ).
cnf(mp_stable_first_movers_18,axiom,
ifeq(environment(X1),true,ifeq(stable(X1),true,in_environment(X1,appear(first_movers,X1)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_stable_first_movers_18) ).
cnf(mp_greater_transitivity_22,axiom,
ifeq(greater(X1,X2),true,ifeq(greater(X3,X1),true,greater(X3,X2),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_22) ).
cnf(mp_contracting_time_19,axiom,
ifeq(finite_set(X1),true,ifeq(contracts_from(X2,X1),true,greater(sk1(X2,X1),X2),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracting_time_19) ).
cnf(mp7_first_movers_exist_17,axiom,
finite_set(first_movers) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp7_first_movers_exist_17) ).
cnf(mp_long_stable_environments_21,axiom,
ifeq(greater(X1,X2),true,ifeq(in_environment(X3,X2),true,ifeq(environment(X3),true,ifeq(stable(X3),true,in_environment(X3,X1),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_long_stable_environments_21) ).
cnf(a13_25,hypothesis,
ifeq(environment(X1),true,greater(appear(efficient_producers,e),appear(first_movers,X1)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_25) ).
cnf(mp_contracting_time_20,axiom,
ifeq2(finite_set(X1),true,ifeq2(contracts_from(X2,X1),true,cardinality_at_time(s,t2),zero),zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracting_time_20) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(prove_t7_28,negated_conjecture,
tuple(cardinality_at_time(first_movers,to),in_environment(sk3,X1),greater(X1,appear(first_movers,sk3))) != tuple(zero,true,true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t7_28) ).
cnf(c_0_14,hypothesis,
ifeq(environment(X1),true,ifeq(stable(X1),true,greater(sk2(X1),appear(efficient_producers,X1)),true),true) = true,
l9_23,
[final] ).
cnf(c_0_15,negated_conjecture,
stable(sk3) = true,
prove_t7_27,
[final] ).
cnf(c_0_16,negated_conjecture,
environment(sk3) = true,
prove_t7_26,
[final] ).
cnf(c_0_17,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001,
[final] ).
cnf(c_0_18,hypothesis,
ifeq(environment(X1),true,ifeq(stable(X1),true,contracts_from(sk2(X1),first_movers),true),true) = true,
l9_24,
[final] ).
cnf(c_0_19,axiom,
ifeq(environment(X1),true,ifeq(stable(X1),true,in_environment(X1,appear(first_movers,X1)),true),true) = true,
mp_stable_first_movers_18,
[final] ).
cnf(c_0_20,axiom,
ifeq(greater(X1,X2),true,ifeq(greater(X3,X1),true,greater(X3,X2),true),true) = true,
mp_greater_transitivity_22,
[final] ).
cnf(c_0_21,negated_conjecture,
greater(sk2(sk3),appear(efficient_producers,sk3)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),c_0_17]),
[final] ).
cnf(c_0_22,axiom,
ifeq(finite_set(X1),true,ifeq(contracts_from(X2,X1),true,greater(sk1(X2,X1),X2),true),true) = true,
mp_contracting_time_19,
[final] ).
cnf(c_0_23,negated_conjecture,
contracts_from(sk2(sk3),first_movers) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_16]),c_0_17]),c_0_17]),
[final] ).
cnf(c_0_24,axiom,
finite_set(first_movers) = true,
mp7_first_movers_exist_17,
[final] ).
cnf(c_0_25,axiom,
ifeq(greater(X1,X2),true,ifeq(in_environment(X3,X2),true,ifeq(environment(X3),true,ifeq(stable(X3),true,in_environment(X3,X1),true),true),true),true) = true,
mp_long_stable_environments_21,
[final] ).
cnf(c_0_26,negated_conjecture,
in_environment(sk3,appear(first_movers,sk3)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_16]),c_0_17]),c_0_17]),
[final] ).
cnf(c_0_27,hypothesis,
ifeq(environment(X1),true,greater(appear(efficient_producers,e),appear(first_movers,X1)),true) = true,
a13_25,
[final] ).
cnf(c_0_28,negated_conjecture,
ifeq(greater(X1,sk2(sk3)),true,greater(X1,appear(efficient_producers,sk3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]),
[final] ).
cnf(c_0_29,negated_conjecture,
greater(sk1(sk2(sk3),first_movers),sk2(sk3)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_17]),c_0_17]),
[final] ).
cnf(c_0_30,negated_conjecture,
ifeq(greater(X1,appear(first_movers,sk3)),true,in_environment(sk3,X1),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_16]),c_0_15]),c_0_17]),c_0_17]),c_0_17]),
[final] ).
cnf(c_0_31,negated_conjecture,
greater(appear(efficient_producers,e),appear(first_movers,sk3)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_16]),c_0_17]),
[final] ).
cnf(c_0_32,axiom,
ifeq2(finite_set(X1),true,ifeq2(contracts_from(X2,X1),true,cardinality_at_time(s,t2),zero),zero) = zero,
mp_contracting_time_20 ).
cnf(c_0_33,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom,
[final] ).
cnf(c_0_34,negated_conjecture,
tuple(cardinality_at_time(first_movers,to),in_environment(sk3,X1),greater(X1,appear(first_movers,sk3))) != tuple(zero,true,true),
prove_t7_28,
[final] ).
cnf(c_0_35,negated_conjecture,
greater(sk1(sk2(sk3),first_movers),appear(efficient_producers,sk3)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_17]),
[final] ).
cnf(c_0_36,negated_conjecture,
in_environment(sk3,appear(efficient_producers,e)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_17]),
[final] ).
cnf(c_0_37,negated_conjecture,
cardinality_at_time(s,t2) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_23]),c_0_24]),c_0_33]),c_0_33]),
[final] ).
cnf(c_0_38,negated_conjecture,
tuple(cardinality_at_time(first_movers,to),in_environment(sk3,appear(efficient_producers,e)),true) != tuple(zero,true,true),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
ifeq(greater(appear(efficient_producers,sk3),X1),true,greater(sk1(sk2(sk3),first_movers),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_35]),c_0_17]),
[final] ).
cnf(c_0_40,negated_conjecture,
ifeq(greater(X1,sk1(sk2(sk3),first_movers)),true,greater(X1,appear(efficient_producers,sk3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_35]),c_0_17]),
[final] ).
cnf(c_0_41,negated_conjecture,
ifeq(greater(X1,sk1(sk2(sk3),first_movers)),true,greater(X1,sk2(sk3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_29]),c_0_17]),
[final] ).
cnf(c_0_42,negated_conjecture,
ifeq(greater(appear(efficient_producers,sk3),X1),true,greater(sk2(sk3),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]),
[final] ).
cnf(c_0_43,negated_conjecture,
ifeq(greater(X1,X2),true,ifeq(in_environment(sk3,X2),true,in_environment(sk3,X1),true),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_15]),c_0_16]),c_0_17]),c_0_17]),
[final] ).
cnf(c_0_44,negated_conjecture,
ifeq(greater(X1,appear(efficient_producers,e)),true,in_environment(sk3,X1),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_36]),c_0_16]),c_0_15]),c_0_17]),c_0_17]),c_0_17]),
[final] ).
cnf(c_0_45,negated_conjecture,
ifeq(greater(appear(first_movers,sk3),X1),true,ifeq(in_environment(sk3,X1),true,true,true),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_16]),c_0_15]),c_0_17]),c_0_17]) ).
cnf(c_0_46,plain,
ifeq2(finite_set(X1),true,ifeq2(contracts_from(X2,X1),true,zero,zero),zero) = zero,
inference(rw,[status(thm)],[c_0_32,c_0_37]),
[final] ).
cnf(c_0_47,negated_conjecture,
tuple(cardinality_at_time(first_movers,to),true,true) != tuple(zero,true,true),
inference(rw,[status(thm)],[c_0_38,c_0_36]),
[final] ).
cnf(c_0_48,negated_conjecture,
tuple(cardinality_at_time(first_movers,to),true,greater(appear(first_movers,sk3),appear(first_movers,sk3))) != tuple(zero,true,true),
inference(spm,[status(thm)],[c_0_34,c_0_26]),
[final] ).
cnf(c_0_49,negated_conjecture,
ifeq(in_environment(X1,appear(efficient_producers,sk3)),true,ifeq(environment(X1),true,ifeq(stable(X1),true,in_environment(X1,sk1(sk2(sk3),first_movers)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_35]),c_0_17]),
[final] ).
cnf(c_0_50,negated_conjecture,
ifeq(in_environment(X1,sk2(sk3)),true,ifeq(environment(X1),true,ifeq(stable(X1),true,in_environment(X1,sk1(sk2(sk3),first_movers)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_29]),c_0_17]),
[final] ).
cnf(c_0_51,negated_conjecture,
ifeq(in_environment(X1,appear(first_movers,sk3)),true,ifeq(environment(X1),true,ifeq(stable(X1),true,in_environment(X1,appear(efficient_producers,e)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_31]),c_0_17]),
[final] ).
cnf(c_0_52,negated_conjecture,
ifeq(in_environment(X1,appear(efficient_producers,sk3)),true,ifeq(environment(X1),true,ifeq(stable(X1),true,in_environment(X1,sk2(sk3)),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21]),c_0_17]),
[final] ).
cnf(c_0_53,negated_conjecture,
ifeq(greater(X1,appear(efficient_producers,sk3)),true,ifeq(greater(sk1(sk2(sk3),first_movers),X1),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_20,c_0_35]),
[final] ).
cnf(c_0_54,negated_conjecture,
ifeq(greater(X1,sk2(sk3)),true,ifeq(greater(sk1(sk2(sk3),first_movers),X1),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_20,c_0_29]),
[final] ).
cnf(c_0_55,negated_conjecture,
ifeq(greater(X1,appear(first_movers,sk3)),true,ifeq(greater(appear(efficient_producers,e),X1),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_20,c_0_31]),
[final] ).
cnf(c_0_56,negated_conjecture,
ifeq(greater(X1,appear(efficient_producers,sk3)),true,ifeq(greater(sk2(sk3),X1),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_20,c_0_21]),
[final] ).
cnf(c_0_57,negated_conjecture,
ifeq(greater(appear(efficient_producers,e),X1),true,ifeq(in_environment(sk3,X1),true,true,true),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_36]),c_0_16]),c_0_15]),c_0_17]),c_0_17]),
[final] ).
cnf(c_0_58,plain,
ifeq(greater(appear(first_movers,X1),X2),true,ifeq(in_environment(X1,X2),true,true,true),true) = true,
inference(spm,[status(thm)],[c_0_25,c_0_19]),
[final] ).
cnf(c_0_59,negated_conjecture,
ifeq(greater(appear(efficient_producers,sk3),sk2(sk3)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_39,c_0_29]),
[final] ).
cnf(c_0_60,negated_conjecture,
ifeq(greater(sk2(sk3),sk1(sk2(sk3),first_movers)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_40,c_0_21]),
[final] ).
cnf(c_0_61,negated_conjecture,
ifeq(greater(sk1(sk2(sk3),first_movers),sk1(sk2(sk3),first_movers)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_41,c_0_29]),
[final] ).
cnf(c_0_62,negated_conjecture,
ifeq(greater(sk2(sk3),X1),true,greater(sk1(sk2(sk3),first_movers),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_29]),c_0_17]),
[final] ).
cnf(c_0_63,negated_conjecture,
ifeq(greater(appear(first_movers,sk3),X1),true,greater(appear(efficient_producers,e),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_31]),c_0_17]),
[final] ).
cnf(c_0_64,negated_conjecture,
ifeq(greater(X1,appear(efficient_producers,e)),true,greater(X1,appear(first_movers,sk3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_31]),c_0_17]),
[final] ).
cnf(c_0_65,negated_conjecture,
ifeq(greater(appear(efficient_producers,sk3),appear(efficient_producers,sk3)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_42,c_0_21]),
[final] ).
cnf(c_0_66,negated_conjecture,
ifeq(in_environment(sk3,appear(efficient_producers,sk3)),true,in_environment(sk3,sk1(sk2(sk3),first_movers)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_17]),
[final] ).
cnf(c_0_67,negated_conjecture,
ifeq(in_environment(sk3,sk2(sk3)),true,in_environment(sk3,sk1(sk2(sk3),first_movers)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_29]),c_0_17]),
[final] ).
cnf(c_0_68,negated_conjecture,
ifeq(greater(sk2(sk3),sk2(sk3)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_28,c_0_21]),
[final] ).
cnf(c_0_69,negated_conjecture,
ifeq(greater(appear(efficient_producers,e),appear(efficient_producers,e)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_44,c_0_36]),
[final] ).
cnf(c_0_70,negated_conjecture,
ifeq(in_environment(sk3,appear(efficient_producers,sk3)),true,in_environment(sk3,sk2(sk3)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_21]),c_0_17]),
[final] ).
cnf(c_0_71,negated_conjecture,
ifeq(greater(appear(first_movers,sk3),appear(efficient_producers,e)),true,true,true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_36]),c_0_17]),
[final] ).
cnf(c_0_72,negated_conjecture,
ifeq(greater(appear(first_movers,sk3),appear(first_movers,sk3)),true,true,true) = true,
inference(spm,[status(thm)],[c_0_30,c_0_26]),
[final] ).
cnf(c_0_73,plain,
ifeq(contracts_from(X1,first_movers),true,greater(sk1(X1,first_movers),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_24]),c_0_17]),
[final] ).
cnf(c_0_74,plain,
ifeq2(contracts_from(X1,first_movers),true,zero,zero) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_24]),c_0_33]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT038-10 : TPTP v9.2.1. Released v7.5.0.
% 0.12/0.12 % 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 : n018.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 23:28:47 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.25/1.73 % Version : CSE_E---1.7
% 1.25/1.73 % Problem : theBenchmark.p
% 1.25/1.73 % SZS status Satisfiable for theBenchmark.p
% 1.25/1.73 % SZS output start Saturation
% See solution above
% 1.25/1.73 % Total time : 1.373s
%------------------------------------------------------------------------------