%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT038+1 : TPTP v9.2.1. Bugfixed v9.3.0.
% 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 : n020.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 : CounterSatisfiable 1.27s 1.72s
% Output : Saturation 1.27s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(mp_greater_transitivity,axiom,
! [X6,X7,X8] :
( ( greater(X6,X7)
& greater(X7,X8) )
=> greater(X6,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(a13,hypothesis,
! [X1] :
( environment(X1)
=> greater(appear(efficient_producers,X1),appear(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13) ).
fof(l9,hypothesis,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X3] :
( greater(X3,appear(efficient_producers,X1))
& contracts_from(X3,first_movers) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l9) ).
fof(mp_contracting_time,axiom,
! [X2,X3] :
( ( finite_set(X2)
& contracts_from(X3,X2) )
=> ? [X4] :
( greater(X4,X3)
& cardinality_at_time(s,X4) = zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracting_time) ).
fof(mp7_first_movers_exist,axiom,
finite_set(first_movers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp7_first_movers_exist) ).
fof(mp_long_stable_environments,axiom,
! [X1,X5,X4] :
( ( environment(X1)
& stable(X1)
& in_environment(X1,X5)
& greater(X4,X5) )
=> in_environment(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_long_stable_environments) ).
fof(mp_stable_first_movers,axiom,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> in_environment(X1,appear(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_stable_first_movers) ).
fof(prove_t7,conjecture,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X3] :
( in_environment(X1,X3)
& greater(X3,appear(first_movers,X1))
& cardinality_at_time(first_movers,X3) = zero ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t7) ).
fof(c_0_8,plain,
! [X31,X32,X33] :
( ~ greater(X31,X32)
| ~ greater(X32,X33)
| greater(X31,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_transitivity])]) ).
fof(c_0_9,hypothesis,
! [X36] :
( ~ environment(X36)
| greater(appear(efficient_producers,X36),appear(first_movers,X36)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a13])]) ).
cnf(c_0_10,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]),
[final] ).
cnf(c_0_11,hypothesis,
( greater(appear(efficient_producers,X1),appear(first_movers,X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]),
[final] ).
fof(c_0_12,hypothesis,
! [X34] :
( ( greater(esk2_1(X34),appear(efficient_producers,X34))
| ~ environment(X34)
| ~ stable(X34) )
& ( contracts_from(esk2_1(X34),first_movers)
| ~ environment(X34)
| ~ stable(X34) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l9])])])]) ).
cnf(c_0_13,hypothesis,
( greater(X1,appear(first_movers,X2))
| ~ greater(X1,appear(efficient_producers,X2))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]),
[final] ).
cnf(c_0_14,hypothesis,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]),
[final] ).
fof(c_0_15,plain,
! [X25,X26] :
( ( greater(esk1_2(X25,X26),X26)
| ~ finite_set(X25)
| ~ contracts_from(X26,X25) )
& ( cardinality_at_time(s,esk1_2(X25,X26)) = zero
| ~ finite_set(X25)
| ~ contracts_from(X26,X25) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_contracting_time])])])]) ).
cnf(c_0_16,hypothesis,
( greater(esk2_1(X1),appear(first_movers,X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]),
[final] ).
cnf(c_0_17,plain,
( greater(esk1_2(X1,X2),X2)
| ~ finite_set(X1)
| ~ contracts_from(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
cnf(c_0_18,hypothesis,
( contracts_from(esk2_1(X1),first_movers)
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]),
[final] ).
cnf(c_0_19,plain,
finite_set(first_movers),
inference(split_conjunct,[status(thm)],[mp7_first_movers_exist]),
[final] ).
fof(c_0_20,plain,
! [X28,X29,X30] :
( ~ environment(X28)
| ~ stable(X28)
| ~ in_environment(X28,X29)
| ~ greater(X30,X29)
| in_environment(X28,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_long_stable_environments])]) ).
cnf(c_0_21,hypothesis,
( greater(X1,appear(first_movers,X2))
| ~ greater(X1,esk2_1(X2))
| ~ stable(X2)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_16]),
[final] ).
cnf(c_0_22,hypothesis,
( greater(esk1_2(first_movers,esk2_1(X1)),esk2_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
[final] ).
cnf(c_0_23,plain,
( in_environment(X1,X3)
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,X2)
| ~ greater(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]),
[final] ).
fof(c_0_24,plain,
! [X24] :
( ~ environment(X24)
| ~ stable(X24)
| in_environment(X24,appear(first_movers,X24)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_stable_first_movers])]) ).
cnf(c_0_25,hypothesis,
( greater(X1,appear(efficient_producers,X2))
| ~ greater(X1,esk2_1(X2))
| ~ stable(X2)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_14]),
[final] ).
cnf(c_0_26,hypothesis,
( greater(esk1_2(first_movers,esk2_1(X1)),appear(first_movers,X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]),
[final] ).
cnf(c_0_27,hypothesis,
( in_environment(X1,appear(efficient_producers,X2))
| ~ in_environment(X1,appear(first_movers,X2))
| ~ stable(X1)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_11]),
[final] ).
cnf(c_0_28,plain,
( in_environment(X1,appear(first_movers,X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]),
[final] ).
fof(c_0_29,negated_conjecture,
~ ! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X3] :
( in_environment(X1,X3)
& greater(X3,appear(first_movers,X1))
& cardinality_at_time(first_movers,X3) = zero ) ),
inference(assume_negation,[status(cth)],[prove_t7]) ).
cnf(c_0_30,hypothesis,
( greater(esk1_2(first_movers,esk2_1(X1)),appear(efficient_producers,X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_22]),
[final] ).
cnf(c_0_31,hypothesis,
( in_environment(X1,esk1_2(first_movers,esk2_1(X2)))
| ~ in_environment(X1,appear(first_movers,X2))
| ~ stable(X1)
| ~ stable(X2)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_26]),
[final] ).
cnf(c_0_32,hypothesis,
( in_environment(X1,esk2_1(X2))
| ~ in_environment(X1,appear(efficient_producers,X2))
| ~ stable(X1)
| ~ stable(X2)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_14]),
[final] ).
cnf(c_0_33,hypothesis,
( in_environment(X1,appear(efficient_producers,X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]),
[final] ).
cnf(c_0_34,plain,
( cardinality_at_time(s,esk1_2(X1,X2)) = zero
| ~ finite_set(X1)
| ~ contracts_from(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]),
[final] ).
fof(c_0_35,negated_conjecture,
! [X38] :
( environment(esk3_0)
& stable(esk3_0)
& ( ~ in_environment(esk3_0,X38)
| ~ greater(X38,appear(first_movers,esk3_0))
| cardinality_at_time(first_movers,X38) != zero ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
cnf(c_0_36,hypothesis,
( in_environment(X1,esk1_2(first_movers,esk2_1(X2)))
| ~ in_environment(X1,appear(efficient_producers,X2))
| ~ stable(X1)
| ~ stable(X2)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_30]),
[final] ).
cnf(c_0_37,hypothesis,
( in_environment(X1,esk1_2(first_movers,esk2_1(X2)))
| ~ in_environment(X1,esk2_1(X2))
| ~ stable(X1)
| ~ stable(X2)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]),
[final] ).
cnf(c_0_38,hypothesis,
( in_environment(X1,esk1_2(first_movers,esk2_1(X1)))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_28]),
[final] ).
cnf(c_0_39,hypothesis,
( greater(X1,appear(efficient_producers,X2))
| ~ greater(X1,esk1_2(first_movers,esk2_1(X2)))
| ~ stable(X2)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_30]),
[final] ).
cnf(c_0_40,hypothesis,
( in_environment(X1,esk2_1(X2))
| ~ in_environment(X1,appear(first_movers,X2))
| ~ stable(X1)
| ~ stable(X2)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_16]),
[final] ).
cnf(c_0_41,hypothesis,
( greater(X1,esk2_1(X2))
| ~ greater(X1,esk1_2(first_movers,esk2_1(X2)))
| ~ stable(X2)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_22]),
[final] ).
cnf(c_0_42,hypothesis,
( greater(X1,appear(first_movers,X2))
| ~ greater(X1,esk1_2(first_movers,esk2_1(X2)))
| ~ stable(X2)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_26]),
[final] ).
cnf(c_0_43,hypothesis,
( in_environment(X1,esk2_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]),
[final] ).
cnf(c_0_44,hypothesis,
( cardinality_at_time(s,esk1_2(first_movers,esk2_1(X1))) = zero
| ~ stable(X1)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_18]),c_0_19])]),
[final] ).
cnf(c_0_45,negated_conjecture,
( ~ in_environment(esk3_0,X1)
| ~ greater(X1,appear(first_movers,esk3_0))
| cardinality_at_time(first_movers,X1) != zero ),
inference(split_conjunct,[status(thm)],[c_0_35]),
[final] ).
cnf(c_0_46,negated_conjecture,
stable(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]),
[final] ).
cnf(c_0_47,negated_conjecture,
environment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_35]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT038+1 : TPTP v9.2.1. Bugfixed v9.3.0.
% 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 : n020.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 23:31:05 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status CounterSatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start Saturation
% See solution above
% 1.27/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------