%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT038-1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n015.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 1.72s
% Output : Saturation 1.25s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_greater_transitivity_22,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_22) ).
cnf(l9_23,hypothesis,
( greater(sk2(X1),appear(efficient_producers,X1))
| ~ environment(X1)
| ~ stable(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l9_23) ).
cnf(mp_contracting_time_19,axiom,
( greater(sk1(X2,X1),X2)
| ~ finite_set(X1)
| ~ contracts_from(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracting_time_19) ).
cnf(l9_24,hypothesis,
( contracts_from(sk2(X1),first_movers)
| ~ environment(X1)
| ~ stable(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l9_24) ).
cnf(mp7_first_movers_exist_17,axiom,
finite_set(first_movers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp7_first_movers_exist_17) ).
cnf(mp_long_stable_environments_21,axiom,
( in_environment(X1,X3)
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,X2)
| ~ greater(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_long_stable_environments_21) ).
cnf(a13_25,hypothesis,
( greater(appear(efficient_producers,e),appear(first_movers,X1))
| ~ environment(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_25) ).
cnf(mp_stable_first_movers_18,axiom,
( in_environment(X1,appear(first_movers,X1))
| ~ environment(X1)
| ~ stable(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_stable_first_movers_18) ).
cnf(mp_contracting_time_20,axiom,
( cardinality_at_time(s,t2) = zero
| ~ finite_set(X1)
| ~ contracts_from(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracting_time_20) ).
cnf(prove_t7_28,negated_conjecture,
( ~ in_environment(sk3,X1)
| ~ greater(X1,appear(first_movers,sk3))
| cardinality_at_time(first_movers,to) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t7_28) ).
cnf(prove_t7_27,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t7_27) ).
cnf(prove_t7_26,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t7_26) ).
cnf(c_0_12,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
mp_greater_transitivity_22,
[final] ).
cnf(c_0_13,hypothesis,
( greater(sk2(X1),appear(efficient_producers,X1))
| ~ environment(X1)
| ~ stable(X1) ),
l9_23,
[final] ).
cnf(c_0_14,axiom,
( greater(sk1(X2,X1),X2)
| ~ finite_set(X1)
| ~ contracts_from(X2,X1) ),
mp_contracting_time_19,
[final] ).
cnf(c_0_15,hypothesis,
( contracts_from(sk2(X1),first_movers)
| ~ environment(X1)
| ~ stable(X1) ),
l9_24,
[final] ).
cnf(c_0_16,axiom,
finite_set(first_movers),
mp7_first_movers_exist_17,
[final] ).
cnf(c_0_17,hypothesis,
( greater(X1,appear(efficient_producers,X2))
| ~ greater(X1,sk2(X2))
| ~ stable(X2)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]),
[final] ).
cnf(c_0_18,hypothesis,
( greater(sk1(sk2(X1),first_movers),sk2(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[final] ).
cnf(c_0_19,axiom,
( in_environment(X1,X3)
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,X2)
| ~ greater(X3,X2) ),
mp_long_stable_environments_21,
[final] ).
cnf(c_0_20,hypothesis,
( greater(appear(efficient_producers,e),appear(first_movers,X1))
| ~ environment(X1) ),
a13_25,
[final] ).
cnf(c_0_21,hypothesis,
( greater(sk1(sk2(X1),first_movers),appear(efficient_producers,X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]),
[final] ).
cnf(c_0_22,hypothesis,
( in_environment(X1,appear(efficient_producers,e))
| ~ in_environment(X1,appear(first_movers,X2))
| ~ stable(X1)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,axiom,
( in_environment(X1,appear(first_movers,X1))
| ~ environment(X1)
| ~ stable(X1) ),
mp_stable_first_movers_18,
[final] ).
cnf(c_0_24,hypothesis,
( in_environment(X1,sk1(sk2(X2),first_movers))
| ~ in_environment(X1,appear(efficient_producers,X2))
| ~ stable(X1)
| ~ stable(X2)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_21]),
[final] ).
cnf(c_0_25,hypothesis,
( in_environment(X1,appear(efficient_producers,e))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]),
[final] ).
cnf(c_0_26,hypothesis,
( in_environment(X1,sk2(X2))
| ~ in_environment(X1,appear(efficient_producers,X2))
| ~ stable(X1)
| ~ stable(X2)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_13]),
[final] ).
cnf(c_0_27,hypothesis,
( greater(X1,appear(first_movers,X2))
| ~ greater(X1,appear(efficient_producers,e))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]),
[final] ).
cnf(c_0_28,axiom,
( cardinality_at_time(s,t2) = zero
| ~ finite_set(X1)
| ~ contracts_from(X2,X1) ),
mp_contracting_time_20,
[final] ).
cnf(c_0_29,hypothesis,
( in_environment(X1,sk1(sk2(e),first_movers))
| ~ stable(e)
| ~ stable(X1)
| ~ environment(e)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]),
[final] ).
cnf(c_0_30,hypothesis,
( in_environment(X1,sk1(sk2(X2),first_movers))
| ~ in_environment(X1,sk2(X2))
| ~ stable(X1)
| ~ stable(X2)
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]),
[final] ).
cnf(c_0_31,hypothesis,
( in_environment(X1,sk2(e))
| ~ stable(e)
| ~ stable(X1)
| ~ environment(e)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_25]),
[final] ).
cnf(c_0_32,hypothesis,
( greater(X1,appear(efficient_producers,X2))
| ~ greater(X1,sk1(sk2(X2),first_movers))
| ~ stable(X2)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_21]),
[final] ).
cnf(c_0_33,hypothesis,
( greater(X1,sk2(X2))
| ~ greater(X1,sk1(sk2(X2),first_movers))
| ~ stable(X2)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_18]),
[final] ).
cnf(c_0_34,hypothesis,
( greater(sk1(sk2(e),first_movers),appear(first_movers,X1))
| ~ stable(e)
| ~ environment(e)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_21]),
[final] ).
cnf(c_0_35,hypothesis,
( greater(sk2(e),appear(first_movers,X1))
| ~ stable(e)
| ~ environment(e)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_13]),
[final] ).
cnf(c_0_36,hypothesis,
( cardinality_at_time(s,t2) = zero
| ~ stable(X1)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_15]),c_0_16])]),
[final] ).
cnf(c_0_37,negated_conjecture,
( ~ in_environment(sk3,X1)
| ~ greater(X1,appear(first_movers,sk3))
| cardinality_at_time(first_movers,to) != zero ),
prove_t7_28,
[final] ).
cnf(c_0_38,negated_conjecture,
stable(sk3),
prove_t7_27,
[final] ).
cnf(c_0_39,negated_conjecture,
environment(sk3),
prove_t7_26,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT038-1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n015.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
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 4 23:31:02 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start Saturation
% See solution above
% 1.25/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------