TSTP Solution File: NUM858+1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : NUM858+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n027.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 : 600s
% DateTime : Mon Jul 18 14:05:07 EDT 2022
% Result : Theorem 6.21s 1.18s
% Output : Proof 6.86s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( minsol_model_max(sK2,sK3,sK4)
| minsol_model_ub(sK2,sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1)]) ).
cnf(g1,plain,
( ~ minsol_model_max(sK2,sK3,sK4)
| ~ minsol_model_ub(sK2,sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ub_1)]) ).
cnf(g2,plain,
( ~ model_ub(sK2,sK3,sK3)
| ~ minsol_model_ub(sK2,sK3,sK4)
| lesseq(sK4,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)]) ).
cnf(g3,plain,
( ~ minsol_model_ub(sK2,sK3,sK4)
| model_ub(sK2,sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)]) ).
cnf(g4,plain,
( ~ minsol_model_max(sK2,sK3,sK4)
| model_max(sK2,sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max)]) ).
cnf(g5,plain,
( ~ model_max(sK2,sK3,sK4)
| model_max(sK2,sK3,sK0(sK2,sK3,sK4))
| minsol_model_max(sK2,sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max)]) ).
cnf(g6,plain,
( ~ model_ub(sK2,sK3,sK4)
| model_ub(sK2,sK3,sK1(sK2,sK3,sK4))
| minsol_model_ub(sK2,sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)]) ).
cnf(g7,plain,
( ~ lesseq(sK4,sK1(sK2,sK3,sK4))
| ~ model_ub(sK2,sK3,sK4)
| minsol_model_ub(sK2,sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)]) ).
cnf(g8,plain,
( ~ ub(sK2,sK3,sK3)
| model_ub(sK2,sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g9,plain,
( ~ minsol_model_ub(sK2,sK3,sK3)
| model_ub(sK2,sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)]) ).
cnf(g10,plain,
sPE(sK4,sK4),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
sPE(sK3,sK3),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ model_max(sK2,sK3,sK4)
| sPE(sK4,max(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_1)]) ).
cnf(g13,plain,
( ~ lesseq(sK4,sK0(sK2,sK3,sK4))
| ~ model_max(sK2,sK3,sK4)
| minsol_model_max(sK2,sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max)]) ).
cnf(g14,plain,
( ~ lesseq(sK3,sK2)
| sPE(max(sK2,sK3),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1)]) ).
cnf(g15,plain,
( ~ sPE(sK2,sK2)
| ~ sPE(sK3,sK3)
| ~ sPE(sK3,sK4)
| ~ minsol_model_ub(sK2,sK3,sK3)
| minsol_model_ub(sK2,sK3,sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
sPE(sK2,sK2),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(sK4,sK3)
| sPE(sK3,sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
( ~ lesseq(sK4,sK3)
| ~ lesseq(sK3,sK4)
| sPE(sK4,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_antisymmetric)]) ).
cnf(g19,plain,
( ~ model_ub(sK3,sK3,sK1(sK2,sK3,sK4))
| ~ minsol_model_ub(sK3,sK3,sK4)
| lesseq(sK4,sK1(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)]) ).
cnf(g20,plain,
( ~ lesseq(sK3,sK4)
| sPE(max(sK4,sK3),sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1)]) ).
cnf(g21,plain,
( ~ sPE(sK3,sK3)
| ~ sPE(sK3,sK3)
| ~ sPE(sK3,sK4)
| ~ minsol_model_ub(sK3,sK3,sK3)
| minsol_model_ub(sK3,sK3,sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ lesseq(sK3,sK1(sK3,sK3,sK3))
| ~ model_ub(sK3,sK3,sK3)
| minsol_model_ub(sK3,sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)]) ).
cnf(g23,plain,
( ~ model_ub(sK3,sK3,sK3)
| model_ub(sK3,sK3,sK1(sK3,sK3,sK3))
| minsol_model_ub(sK3,sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)]) ).
cnf(g24,plain,
( lesseq(sK3,sK4)
| lesseq(sK4,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total)]) ).
cnf(g25,plain,
( lesseq(sK3,sK2)
| lesseq(sK2,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total)]) ).
cnf(g26,plain,
( ~ sPE(max(sK2,sK3),sK2)
| sPE(sK2,max(sK2,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE(sK2,sK2)
| ~ sPE(sK3,sK3)
| ~ sPE(sK4,max(sK2,sK3))
| ~ minsol_model_max(sK2,sK3,sK4)
| minsol_model_max(sK2,sK3,max(sK2,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
sPE(max(sK2,sK3),max(sK2,sK3)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ model_max(sK2,sK3,sK4)
| ~ minsol_model_max(sK2,sK3,max(sK2,sK3))
| lesseq(max(sK2,sK3),sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max)]) ).
cnf(g30,plain,
( ~ model_ub(sK2,sK3,sK4)
| ub(sK2,sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g31,plain,
( ~ ub(sK2,sK3,sK4)
| lesseq(sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g32,plain,
( ~ ub(sK2,sK3,sK4)
| lesseq(sK2,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g33,plain,
( ~ lesseq(sK2,sK3)
| ~ lesseq(sK3,sK3)
| ub(sK2,sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g34,plain,
( ~ model_ub(sK2,sK3,sK3)
| ub(sK2,sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g35,plain,
( ~ sPE(sK4,sK3)
| ~ sPE(sK4,sK4)
| ~ lesseq(sK4,sK4)
| lesseq(sK3,sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( ~ sPE(sK2,sK2)
| ~ sPE(sK3,sK3)
| ~ sPE(sK4,sK3)
| ~ minsol_model_ub(sK2,sK3,sK4)
| minsol_model_ub(sK2,sK3,sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
( ~ lesseq(sK3,sK3)
| ~ lesseq(sK3,sK3)
| ub(sK3,sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g38,plain,
( ~ lesseq(sK4,sK3)
| ~ lesseq(sK3,sK3)
| ub(sK4,sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g39,plain,
( ~ model_max(sK2,sK3,sK0(sK2,sK3,sK4))
| sPE(sK0(sK2,sK3,sK4),max(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_1)]) ).
cnf(g40,plain,
( ~ model_ub(sK2,sK3,sK1(sK2,sK3,sK4))
| ub(sK2,sK3,sK1(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g41,plain,
( ~ sPE(max(sK2,sK3),sK2)
| ~ sPE(sK3,sK3)
| ~ sPE(sK3,sK3)
| ~ model_ub(max(sK2,sK3),sK3,sK3)
| model_ub(sK2,sK3,sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
sPE(sK1(sK2,sK3,sK4),sK1(sK2,sK3,sK4)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g43,plain,
( ~ ub(sK2,sK3,sK1(sK2,sK3,sK4))
| lesseq(sK3,sK1(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g44,plain,
( ~ ub(sK3,sK3,sK3)
| model_ub(sK3,sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g45,plain,
( ~ ub(max(sK2,sK3),sK3,sK3)
| model_ub(max(sK2,sK3),sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g46,plain,
( ~ lesseq(sK3,sK1(sK2,sK3,sK4))
| ~ lesseq(sK3,sK1(sK2,sK3,sK4))
| ub(sK3,sK3,sK1(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g47,plain,
( lesseq(sK3,sK3)
| lesseq(sK3,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total)]) ).
cnf(g48,plain,
( ~ ub(sK3,sK3,sK1(sK2,sK3,sK4))
| model_ub(sK3,sK3,sK1(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g49,plain,
( ~ sPE(sK4,max(sK2,sK3))
| ~ sPE(sK3,sK3)
| ~ sPE(sK3,sK3)
| ~ ub(sK4,sK3,sK3)
| ub(max(sK2,sK3),sK3,sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g50,plain,
( ~ sPE(sK4,max(sK2,sK3))
| ~ sPE(max(sK2,sK3),sK3)
| sPE(sK4,sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g51,plain,
( ~ ub(sK2,sK3,sK3)
| lesseq(sK2,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g52,plain,
( ~ lesseq(max(sK2,sK3),sK4)
| ~ lesseq(sK3,sK4)
| ub(max(sK2,sK3),sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g53,plain,
( ~ lesseq(sK2,sK3)
| sPE(max(sK2,sK3),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2)]) ).
cnf(g54,plain,
( ~ sPE(sK2,sK2)
| ~ sPE(sK3,sK3)
| ~ sPE(sK3,sK4)
| ~ model_ub(sK2,sK3,sK3)
| model_ub(sK2,sK3,sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g55,plain,
( ~ sPE(max(sK2,sK3),sK2)
| ~ sPE(sK3,sK3)
| ~ sPE(sK4,sK4)
| ~ model_ub(max(sK2,sK3),sK3,sK4)
| model_ub(sK2,sK3,sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g56,plain,
( ~ ub(max(sK2,sK3),sK3,sK4)
| model_ub(max(sK2,sK3),sK3,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g57,plain,
( lesseq(sK2,sK2)
| lesseq(sK2,sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total)]) ).
cnf(g58,plain,
( lesseq(sK0(sK2,sK3,sK4),sK3)
| lesseq(sK3,sK0(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total)]) ).
cnf(g59,plain,
lesseq(sK4,sK4),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_ref)]) ).
cnf(g60,plain,
( ~ sPE(sK0(sK2,sK3,sK4),max(sK2,sK3))
| ~ sPE(max(sK2,sK3),sK3)
| sPE(sK0(sK2,sK3,sK4),sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g61,plain,
( ~ sPE(sK0(sK2,sK3,sK4),max(sK2,sK3))
| ~ sPE(sK3,sK3)
| ~ lesseq(sK0(sK2,sK3,sK4),sK3)
| lesseq(max(sK2,sK3),sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g62,plain,
( ~ model_ub(sK2,sK3,sK0(sK2,sK3,sK4))
| ~ minsol_model_ub(sK2,sK3,sK4)
| lesseq(sK4,sK0(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)]) ).
cnf(g63,plain,
( ~ sPE(max(sK4,sK3),sK3)
| sPE(sK3,max(sK4,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g64,plain,
sPE(sK0(sK2,sK3,sK4),sK0(sK2,sK3,sK4)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g65,plain,
( lesseq(sK0(sK2,sK3,sK4),sK0(sK2,sK3,sK4))
| lesseq(sK0(sK2,sK3,sK4),sK0(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_total)]) ).
cnf(g66,plain,
( ~ model_ub(sK3,sK3,sK1(sK3,sK3,sK3))
| ub(sK3,sK3,sK1(sK3,sK3,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g67,plain,
( ~ ub(sK3,sK3,sK1(sK3,sK3,sK3))
| lesseq(sK3,sK1(sK3,sK3,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g68,plain,
( ~ sPE(sK0(sK2,sK3,sK4),sK3)
| sPE(sK3,sK0(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g69,plain,
( ~ lesseq(sK2,sK4)
| sPE(max(sK4,sK2),sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1)]) ).
cnf(g70,plain,
( ~ lesseq(sK2,sK4)
| sPE(max(sK2,sK4),sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2)]) ).
cnf(g71,plain,
( ~ model_ub(sK2,sK3,sK2)
| ~ minsol_model_ub(sK2,sK3,sK4)
| lesseq(sK4,sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_ub)]) ).
cnf(g72,plain,
( ~ ub(sK2,sK3,sK2)
| model_ub(sK2,sK3,sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g73,plain,
( ~ lesseq(sK2,sK2)
| ~ lesseq(sK3,sK2)
| ub(sK2,sK3,sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g74,plain,
( ~ lesseq(sK4,sK2)
| sPE(max(sK4,sK2),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_2)]) ).
cnf(g75,plain,
( ~ sPE(max(sK4,sK2),sK2)
| sPE(sK2,max(sK4,sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g76,plain,
( ~ sPE(sK3,sK3)
| ~ sPE(sK2,max(sK4,sK2))
| ~ lesseq(sK3,sK2)
| lesseq(sK3,max(sK4,sK2)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g77,plain,
( ~ sPE(max(sK4,sK3),sK4)
| ~ sPE(sK4,sK3)
| sPE(max(sK4,sK3),sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g78,plain,
( ~ sPE(max(sK4,sK3),sK4)
| ~ sPE(sK3,sK0(sK2,sK3,sK4))
| ~ lesseq(max(sK4,sK3),sK3)
| lesseq(sK4,sK0(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g79,plain,
( ~ sPE(max(sK2,sK3),sK2)
| ~ sPE(sK3,sK3)
| ~ lesseq(max(sK2,sK3),sK3)
| lesseq(sK2,sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g80,plain,
( ~ sPE(sK3,max(sK4,sK3))
| ~ sPE(sK3,sK3)
| ~ lesseq(sK3,sK3)
| lesseq(max(sK4,sK3),sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g81,plain,
( ~ lesseq(sK3,max(sK4,sK2))
| sPE(max(max(sK4,sK2),sK3),max(sK4,sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_1)]) ).
cnf(g82,plain,
( ~ sPE(max(sK2,sK3),max(sK2,sK3))
| model_max(sK2,sK3,max(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_1)]) ).
cnf(g83,plain,
( ~ sPE(sK2,sK2)
| ~ sPE(sK4,sK3)
| ~ sPE(max(sK2,sK4),sK4)
| ~ model_max(sK2,sK4,max(sK2,sK4))
| model_max(sK2,sK3,sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g84,plain,
( ~ sPE(max(sK2,sK4),max(sK2,sK4))
| model_max(sK2,sK4,max(sK2,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_1)]) ).
cnf(g85,plain,
sPE(max(sK2,sK4),max(sK2,sK4)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g86,plain,
( ~ sPE(max(sK4,sK2),sK2)
| ~ sPE(sK3,sK3)
| ~ sPE(max(max(sK4,sK2),sK3),sK4)
| ~ model_max(max(sK4,sK2),sK3,max(max(sK4,sK2),sK3))
| model_max(sK2,sK3,sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g87,plain,
( ~ sPE(max(max(sK4,sK2),sK3),max(sK4,sK2))
| ~ sPE(max(sK4,sK2),sK4)
| sPE(max(max(sK4,sK2),sK3),sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g88,plain,
( ~ sPE(max(max(sK4,sK2),sK3),max(max(sK4,sK2),sK3))
| model_max(max(sK4,sK2),sK3,max(max(sK4,sK2),sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_max_1)]) ).
cnf(g89,plain,
sPE(max(max(sK4,sK2),sK3),max(max(sK4,sK2),sK3)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g90,plain,
( ~ sPE(sK0(sK2,sK3,sK4),max(sK2,sK3))
| ~ sPE(sK0(sK2,sK3,sK4),sK0(sK2,sK3,sK4))
| ~ lesseq(sK0(sK2,sK3,sK4),sK0(sK2,sK3,sK4))
| lesseq(max(sK2,sK3),sK0(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g91,plain,
( ~ lesseq(max(sK2,sK3),sK0(sK2,sK3,sK4))
| ~ lesseq(sK3,sK0(sK2,sK3,sK4))
| ub(max(sK2,sK3),sK3,sK0(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g92,plain,
( ~ model_max(sK2,sK3,max(sK2,sK3))
| ~ minsol_model_max(sK2,sK3,sK4)
| lesseq(sK4,max(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',minsol_model_max)]) ).
cnf(g93,plain,
( ~ sPE(sK2,max(sK2,sK3))
| ~ sPE(sK3,sK3)
| ~ sPE(sK1(sK2,sK3,sK4),sK1(sK2,sK3,sK4))
| ~ model_ub(sK2,sK3,sK1(sK2,sK3,sK4))
| model_ub(max(sK2,sK3),sK3,sK1(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g94,plain,
( ~ model_ub(max(sK2,sK3),sK3,sK1(sK2,sK3,sK4))
| ub(max(sK2,sK3),sK3,sK1(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g95,plain,
( ~ ub(max(sK2,sK3),sK3,sK1(sK2,sK3,sK4))
| lesseq(max(sK2,sK3),sK1(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ub)]) ).
cnf(g96,plain,
( ~ sPE(max(sK2,sK3),sK2)
| ~ sPE(sK3,sK3)
| ~ sPE(sK0(sK2,sK3,sK4),sK0(sK2,sK3,sK4))
| ~ model_ub(max(sK2,sK3),sK3,sK0(sK2,sK3,sK4))
| model_ub(sK2,sK3,sK0(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g97,plain,
( ~ ub(max(sK2,sK3),sK3,sK0(sK2,sK3,sK4))
| model_ub(max(sK2,sK3),sK3,sK0(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',model_ub_1)]) ).
cnf(g98,plain,
( ~ lesseq(sK4,max(sK2,sK3))
| ~ lesseq(max(sK2,sK3),sK1(sK2,sK3,sK4))
| lesseq(sK4,sK1(sK2,sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lesseq_trans)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM858+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jul 6 14:36:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.21/1.18 % symbols: 16
% 6.21/1.18 % clauses: 41
% 6.21/1.18 % start clauses: 2
% 6.21/1.18 % iterative deepening steps: 584
% 6.21/1.18 % maximum path limit: 4
% 6.21/1.18 % literal attempts: 514728
% 6.21/1.18 % depth failures: 406366
% 6.21/1.18 % regularity failures: 24200
% 6.21/1.18 % tautology failures: 32474
% 6.21/1.18 % reductions: 14402
% 6.21/1.18 % extensions: 499700
% 6.21/1.18 % SAT variables: 68635
% 6.21/1.18 % SAT clauses: 100992
% 6.21/1.18 % WalkSAT solutions: 100260
% 6.21/1.18 % CDCL solutions: 727
% 6.21/1.18 % SZS status Theorem for theBenchmark
% 6.21/1.18 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------