TSTP Solution File: ALG020+1 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : ALG020+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n029.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 : Thu Jul 14 17:58:20 EDT 2022
% Result : Theorem 150.40s 19.27s
% Output : Proof 150.40s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( sPE(h(e10),e20)
| sPE(h(e10),e21)
| sPE(h(e10),e22)
| sPE(h(e10),e23) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g1,plain,
( sPE(h(e11),e20)
| sPE(h(e11),e21)
| sPE(h(e11),e22)
| sPE(h(e11),e23) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g2,plain,
( sPE(h(e12),e20)
| sPE(h(e12),e21)
| sPE(h(e12),e22)
| sPE(h(e12),e23) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g3,plain,
( sPE(h(e13),e20)
| sPE(h(e13),e21)
| sPE(h(e13),e22)
| sPE(h(e13),e23) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g4,plain,
( sPE(j(e20),e10)
| sPE(j(e20),e11)
| sPE(j(e20),e12)
| sPE(j(e20),e13) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g5,plain,
( sPE(j(e22),e10)
| sPE(j(e22),e11)
| sPE(j(e22),e12)
| sPE(j(e22),e13) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g6,plain,
sPE(h(op1(e10,e10)),op2(h(e10),h(e10))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g7,plain,
sPE(h(op1(e10,e11)),op2(h(e10),h(e11))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g8,plain,
sPE(h(op1(e10,e12)),op2(h(e10),h(e12))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g9,plain,
sPE(h(op1(e11,e10)),op2(h(e11),h(e10))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g10,plain,
sPE(h(op1(e11,e11)),op2(h(e11),h(e11))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g11,plain,
sPE(h(op1(e11,e12)),op2(h(e11),h(e12))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g12,plain,
sPE(h(op1(e11,e13)),op2(h(e11),h(e13))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g13,plain,
sPE(h(op1(e12,e12)),op2(h(e12),h(e12))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g14,plain,
sPE(h(op1(e12,e13)),op2(h(e12),h(e13))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g15,plain,
sPE(h(op1(e13,e12)),op2(h(e13),h(e12))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g16,plain,
sPE(h(op1(e13,e13)),op2(h(e13),h(e13))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g17,plain,
sPE(h(j(e20)),e20),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g18,plain,
sPE(h(j(e22)),e22),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g19,plain,
sPE(h(j(e23)),e23),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g20,plain,
sPE(j(h(e10)),e10),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g21,plain,
sPE(j(h(e11)),e11),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g22,plain,
sPE(j(h(e12)),e12),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g23,plain,
sPE(j(h(e13)),e13),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)]) ).
cnf(g24,plain,
( ~ sPE(e22,e22)
| ~ sPE(h(e10),e23)
| sPE(op2(e22,h(e10)),op2(e22,e23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ sPE(h(e10),e22)
| ~ sPE(h(e10),e22)
| sPE(op2(h(e10),h(e10)),op2(e22,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(h(e11),e22)
| sPE(j(h(e11)),j(e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
( ~ sPE(h(e12),e22)
| sPE(e22,h(e12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ sPE(e22,e22)
| ~ sPE(h(e13),e21)
| sPE(op2(e22,h(e13)),op2(e22,e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ sPE(j(e22),e11)
| sPE(h(j(e22)),h(e11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(h(op1(e10,e12)),op2(h(e10),h(e12)))
| sPE(op2(h(e10),h(e12)),h(op1(e10,e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(h(op1(e11,e10)),op2(h(e11),h(e10)))
| sPE(op2(h(e11),h(e10)),h(op1(e11,e10))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(h(op1(e11,e11)),op2(h(e11),h(e11)))
| sPE(op2(h(e11),h(e11)),h(op1(e11,e11))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ sPE(h(op1(e11,e13)),op2(h(e11),h(e13)))
| sPE(op2(h(e11),h(e13)),h(op1(e11,e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(h(op1(e12,e12)),op2(h(e12),h(e12)))
| sPE(op2(h(e12),h(e12)),h(op1(e12,e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ sPE(h(op1(e12,e13)),op2(h(e12),h(e13)))
| ~ sPE(op2(h(e12),h(e13)),e22)
| sPE(h(op1(e12,e13)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( ~ sPE(h(op1(e13,e12)),op2(h(e13),h(e12)))
| sPE(op2(h(e13),h(e12)),h(op1(e13,e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
( ~ sPE(h(op1(e13,e13)),op2(h(e13),h(e13)))
| sPE(op2(h(e13),h(e13)),h(op1(e13,e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ sPE(h(j(e20)),e20)
| sPE(e20,h(j(e20))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g39,plain,
( ~ sPE(e22,h(j(e22)))
| ~ sPE(h(j(e22)),e22)
| sPE(e22,e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
( ~ sPE(h(j(e22)),e22)
| sPE(e22,h(j(e22))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g41,plain,
( ~ sPE(h(j(e23)),e23)
| ~ sPE(e22,e22)
| sPE(op2(h(j(e23)),e22),op2(e23,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
( ~ sPE(e22,e22)
| ~ sPE(h(j(e23)),e23)
| sPE(op2(e22,h(j(e23))),op2(e22,e23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g43,plain,
( ~ sPE(h(j(e23)),e23)
| sPE(e23,h(j(e23))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g44,plain,
( ~ sPE(j(h(e10)),e10)
| sPE(h(j(h(e10))),h(e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g45,plain,
( ~ sPE(j(h(e11)),e11)
| sPE(e11,j(h(e11))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g46,plain,
( ~ sPE(j(h(e11)),e11)
| sPE(h(j(h(e11))),h(e11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g47,plain,
( ~ sPE(e22,e22)
| ~ sPE(h(e10),e21)
| sPE(op2(e22,h(e10)),op2(e22,e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g48,plain,
( ~ sPE(h(e10),e22)
| sPE(e22,h(e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g49,plain,
( ~ sPE(h(e13),e23)
| sPE(e23,h(e13)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g50,plain,
( ~ sPE(j(e20),e12)
| sPE(h(j(e20)),h(e12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g51,plain,
( ~ sPE(j(e22),e10)
| sPE(h(j(e22)),h(e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g52,plain,
( ~ sPE(j(e22),e12)
| sPE(e12,j(e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g53,plain,
( ~ sPE(j(e22),e12)
| sPE(h(j(e22)),h(e12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g54,plain,
( ~ sPE(h(e11),e20)
| ~ sPE(e22,e22)
| sPE(op2(h(e11),e22),op2(e20,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g55,plain,
( ~ sPE(j(e21),e10)
| sPE(e10,j(e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g56,plain,
( ~ sPE(h(e13),e22)
| sPE(e22,h(e13)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g57,plain,
( ~ sPE(j(e22),e13)
| sPE(h(j(e22)),h(e13)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g58,plain,
( ~ sPE(h(e12),e20)
| ~ sPE(e22,e22)
| sPE(op2(h(e12),e22),op2(e20,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g59,plain,
( ~ sPE(h(e13),e20)
| ~ sPE(e22,e22)
| sPE(op2(h(e13),e22),op2(e20,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g60,plain,
( ~ sPE(e22,h(e12))
| ~ sPE(h(e12),e20)
| sPE(e22,e20) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g61,plain,
( ~ sPE(j(e20),e13)
| sPE(h(j(e20)),h(e13)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g62,plain,
( ~ sPE(h(e10),e21)
| sPE(j(h(e10)),j(e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g63,plain,
( ~ sPE(j(e20),e11)
| sPE(h(j(e20)),h(e11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g64,plain,
( ~ sPE(e22,e20)
| sPE(e20,e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g65,plain,
~ sPE(e20,e22),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).
cnf(g66,plain,
( ~ sPE(j(e20),e10)
| sPE(h(j(e20)),h(e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g67,plain,
( ~ sPE(h(op1(e10,e10)),op2(h(e10),h(e10)))
| ~ sPE(op2(h(e10),h(e10)),op2(e22,e22))
| sPE(h(op1(e10,e10)),op2(e22,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g68,plain,
( ~ sPE(e22,op2(h(e10),h(e12)))
| ~ sPE(op2(h(e10),h(e12)),h(op1(e10,e12)))
| sPE(e22,h(op1(e10,e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g69,plain,
( ~ sPE(h(op1(e11,e10)),e22)
| sPE(e22,h(op1(e11,e10))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g70,plain,
( ~ sPE(e22,op2(h(e11),h(e10)))
| ~ sPE(op2(h(e11),h(e10)),h(op1(e11,e10)))
| sPE(e22,h(op1(e11,e10))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g71,plain,
( ~ sPE(e22,e22)
| ~ sPE(op2(h(e11),h(e11)),h(op1(e11,e11)))
| sPE(op2(e22,op2(h(e11),h(e11))),op2(e22,h(op1(e11,e11)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g72,plain,
( ~ sPE(e22,op2(h(e11),h(e13)))
| ~ sPE(op2(h(e11),h(e13)),h(op1(e11,e13)))
| sPE(e22,h(op1(e11,e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g73,plain,
( ~ sPE(e22,e22)
| ~ sPE(op2(h(e12),h(e12)),h(op1(e12,e12)))
| sPE(op2(e22,op2(h(e12),h(e12))),op2(e22,h(op1(e12,e12)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g74,plain,
( ~ sPE(e22,op2(h(e12),h(e12)))
| ~ sPE(op2(h(e12),h(e12)),h(op1(e12,e12)))
| sPE(e22,h(op1(e12,e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g75,plain,
( ~ sPE(e22,op2(h(e13),h(e12)))
| ~ sPE(op2(h(e13),h(e12)),h(op1(e13,e12)))
| sPE(e22,h(op1(e13,e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g76,plain,
( ~ sPE(e22,e22)
| ~ sPE(op2(h(e13),h(e13)),h(op1(e13,e13)))
| sPE(op2(e22,op2(h(e13),h(e13))),op2(e22,h(op1(e13,e13)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g77,plain,
( ~ sPE(e22,e22)
| ~ sPE(e20,h(j(e20)))
| sPE(op2(e22,e20),op2(e22,h(j(e20)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g78,plain,
( ~ sPE(e20,h(j(e20)))
| ~ sPE(h(j(e20)),e22)
| sPE(e20,e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g79,plain,
( ~ sPE(e20,h(j(e20)))
| ~ sPE(e22,e22)
| sPE(op2(e20,e22),op2(h(j(e20)),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g80,plain,
( ~ sPE(e22,e21)
| sPE(e21,e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g81,plain,
( ~ sPE(e22,h(j(e22)))
| ~ sPE(e22,e22)
| sPE(op2(e22,e22),op2(h(j(e22)),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g82,plain,
~ sPE(e21,e22),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).
cnf(g83,plain,
( ~ sPE(e23,h(j(e23)))
| ~ sPE(e22,e22)
| sPE(op2(e23,e22),op2(h(j(e23)),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g84,plain,
( ~ sPE(e22,e22)
| ~ sPE(e23,h(j(e23)))
| sPE(op2(e22,e23),op2(e22,h(j(e23)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g85,plain,
( ~ sPE(h(j(h(e10))),h(e10))
| sPE(h(e10),h(j(h(e10)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g86,plain,
( ~ sPE(e11,j(h(e11)))
| sPE(h(e11),h(j(h(e11)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g87,plain,
( ~ sPE(j(e22),j(h(e11)))
| ~ sPE(j(h(e11)),e11)
| sPE(j(e22),e11) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g88,plain,
( ~ sPE(e22,h(e11))
| sPE(j(e22),j(h(e11))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g89,plain,
( ~ sPE(h(j(h(e11))),h(e11))
| sPE(j(h(j(h(e11)))),j(h(e11))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g90,plain,
( ~ sPE(j(e22),j(h(e12)))
| ~ sPE(j(h(e12)),e12)
| sPE(j(e22),e12) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g91,plain,
( ~ sPE(e22,h(e12))
| sPE(j(e22),j(h(e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g92,plain,
( ~ sPE(j(e22),j(h(e13)))
| ~ sPE(j(h(e13)),e13)
| sPE(j(e22),e13) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g93,plain,
( ~ sPE(e22,h(e13))
| sPE(j(e22),j(h(e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g94,plain,
( ~ sPE(j(h(e10)),j(e21))
| sPE(j(e21),j(h(e10))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g95,plain,
( ~ sPE(e22,op2(e22,h(e10)))
| ~ sPE(op2(e22,h(e10)),op2(e22,e23))
| sPE(e22,op2(e22,e23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g96,plain,
( ~ sPE(j(h(e11)),j(e22))
| sPE(j(e22),j(h(e11))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g97,plain,
( ~ sPE(e22,op2(e22,h(e13)))
| ~ sPE(op2(e22,h(e13)),op2(e22,e21))
| sPE(e22,op2(e22,e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g98,plain,
( ~ sPE(h(j(e20)),h(e12))
| ~ sPE(h(e12),e22)
| sPE(h(j(e20)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g99,plain,
( ~ sPE(e22,h(j(e22)))
| ~ sPE(h(j(e22)),h(e10))
| sPE(e22,h(e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g100,plain,
( ~ sPE(h(e11),e21)
| sPE(j(h(e11)),j(e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g101,plain,
( ~ sPE(op2(h(e12),e22),op2(e20,e22))
| ~ sPE(op2(e20,e22),e22)
| sPE(op2(h(e12),e22),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g102,plain,
( ~ sPE(e22,op2(e22,h(e10)))
| ~ sPE(op2(e22,h(e10)),op2(e22,e21))
| sPE(e22,op2(e22,e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g103,plain,
( ~ sPE(e22,e22)
| ~ sPE(e23,h(e13))
| sPE(op2(e22,e23),op2(e22,h(e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g104,plain,
( ~ sPE(e22,h(j(e22)))
| ~ sPE(h(j(e22)),h(e13))
| sPE(e22,h(e13)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g105,plain,
~ sPE(e22,e23),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)]) ).
cnf(g106,plain,
( ~ sPE(j(h(e11)),j(e21))
| sPE(j(e21),j(h(e11))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g107,plain,
( ~ sPE(e22,h(j(e22)))
| ~ sPE(h(j(e22)),h(e12))
| sPE(e22,h(e12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g108,plain,
( ~ sPE(h(j(e22)),h(e13))
| ~ sPE(e22,e22)
| sPE(op2(h(j(e22)),e22),op2(h(e13),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g109,plain,
( ~ sPE(e22,h(j(e22)))
| ~ sPE(h(j(e22)),h(e11))
| sPE(e22,h(e11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g110,plain,
( ~ sPE(e22,h(e13))
| sPE(h(e13),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g111,plain,
( ~ sPE(e22,e22)
| ~ sPE(e22,h(e13))
| sPE(op2(e22,e22),op2(e22,h(e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g112,plain,
( ~ sPE(e22,e22)
| ~ sPE(h(j(e20)),h(e10))
| sPE(op2(e22,h(j(e20))),op2(e22,h(e10))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g113,plain,
( ~ sPE(op2(h(e13),e22),op2(e20,e22))
| ~ sPE(op2(e20,e22),e22)
| sPE(op2(h(e13),e22),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g114,plain,
( ~ sPE(e22,e22)
| ~ sPE(h(j(e20)),h(e13))
| sPE(op2(e22,h(j(e20))),op2(e22,h(e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g115,plain,
( ~ sPE(h(j(e20)),h(e11))
| ~ sPE(e22,e22)
| sPE(op2(h(j(e20)),e22),op2(h(e11),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g116,plain,
( ~ sPE(op2(h(e11),e22),op2(e20,e22))
| ~ sPE(op2(e20,e22),e22)
| sPE(op2(h(e11),e22),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g117,plain,
( ~ sPE(e22,h(e11))
| sPE(h(e11),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g118,plain,
sPE(op2(e23,e22),e21),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).
cnf(g119,plain,
sPE(op1(e10,e12),e12),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).
cnf(g120,plain,
sPE(op1(e10,e11),e11),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).
cnf(g121,plain,
( ~ sPE(e22,h(e10))
| sPE(h(e10),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g122,plain,
sPE(h(e11),h(e11)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g123,plain,
( ~ sPE(op2(h(e10),h(e12)),e22)
| sPE(e22,op2(h(e10),h(e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g124,plain,
( ~ sPE(h(op1(e11,e10)),op2(h(e11),h(e10)))
| ~ sPE(op2(h(e11),h(e10)),op2(e22,e21))
| sPE(h(op1(e11,e10)),op2(e22,e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g125,plain,
( ~ sPE(h(e11),e22)
| ~ sPE(h(e10),e21)
| sPE(op2(h(e11),h(e10)),op2(e22,e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g126,plain,
( ~ sPE(op2(e22,op2(h(e11),h(e11))),op2(e22,h(op1(e11,e11))))
| ~ sPE(op2(e22,h(op1(e11,e11))),e22)
| sPE(op2(e22,op2(h(e11),h(e11))),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g127,plain,
( ~ sPE(e22,h(e11))
| ~ sPE(e22,h(e11))
| sPE(op2(e22,e22),op2(h(e11),h(e11))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g128,plain,
( ~ sPE(h(op1(e11,e12)),op2(h(e11),h(e12)))
| ~ sPE(op2(h(e11),h(e12)),op2(h(e11),e22))
| sPE(h(op1(e11,e12)),op2(h(e11),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g129,plain,
( ~ sPE(h(e11),h(e11))
| ~ sPE(h(e12),e22)
| sPE(op2(h(e11),h(e12)),op2(h(e11),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g130,plain,
( ~ sPE(e22,h(e12))
| sPE(h(e12),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g131,plain,
( ~ sPE(h(op1(e11,e12)),op2(h(e11),h(e12)))
| ~ sPE(op2(h(e11),h(e12)),op2(h(e11),e21))
| sPE(h(op1(e11,e12)),op2(h(e11),e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g132,plain,
( ~ sPE(h(e11),h(e11))
| ~ sPE(h(e12),e21)
| sPE(op2(h(e11),h(e12)),op2(h(e11),e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g133,plain,
( ~ sPE(e22,h(op1(e11,e12)))
| ~ sPE(h(op1(e11,e12)),op2(h(e11),e21))
| sPE(e22,op2(h(e11),e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g134,plain,
sPE(op1(e10,e10),e10),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).
cnf(g135,plain,
( ~ sPE(op2(h(e11),h(e13)),e22)
| sPE(e22,op2(h(e11),h(e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g136,plain,
sPE(h(e13),h(e13)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g137,plain,
sPE(h(e12),h(e12)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g138,plain,
( ~ sPE(op2(h(e12),h(e12)),e22)
| sPE(e22,op2(h(e12),h(e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g139,plain,
( ~ sPE(e22,h(e12))
| ~ sPE(e22,h(e12))
| sPE(op2(e22,e22),op2(h(e12),h(e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g140,plain,
( ~ sPE(op2(e22,op2(h(e12),h(e12))),op2(e22,h(op1(e12,e12))))
| ~ sPE(op2(e22,h(op1(e12,e12))),e22)
| sPE(op2(e22,op2(h(e12),h(e12))),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g141,plain,
( ~ sPE(h(e12),h(e12))
| ~ sPE(h(e13),e22)
| sPE(op2(h(e12),h(e13)),op2(h(e12),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g142,plain,
( ~ sPE(op2(h(e13),h(e12)),e22)
| sPE(e22,op2(h(e13),h(e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g143,plain,
( ~ sPE(h(e13),h(e13))
| ~ sPE(h(e12),e22)
| sPE(op2(h(e13),h(e12)),op2(h(e13),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g144,plain,
( ~ sPE(e22,h(e13))
| ~ sPE(e22,h(e13))
| sPE(op2(e22,e22),op2(h(e13),h(e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g145,plain,
( ~ sPE(op2(e22,op2(h(e13),h(e13))),op2(e22,h(op1(e13,e13))))
| ~ sPE(op2(e22,h(op1(e13,e13))),e22)
| sPE(op2(e22,op2(h(e13),h(e13))),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g146,plain,
( ~ sPE(op2(e22,e20),e22)
| sPE(e22,op2(e22,e20)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g147,plain,
( ~ sPE(e22,h(j(e20)))
| sPE(h(j(e20)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g148,plain,
( ~ sPE(e22,op2(e20,e22))
| ~ sPE(op2(e20,e22),op2(h(j(e20)),e22))
| sPE(e22,op2(h(j(e20)),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g149,plain,
( ~ sPE(e22,op2(e22,e20))
| ~ sPE(op2(e22,e20),op2(e22,h(j(e20))))
| sPE(e22,op2(e22,h(j(e20)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g150,plain,
sPE(op2(e21,e21),e23),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).
cnf(g151,plain,
sPE(op2(e22,e22),e23),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).
cnf(g152,plain,
( ~ sPE(op2(e22,e22),op2(h(j(e22)),e22))
| ~ sPE(op2(h(j(e22)),e22),e22)
| sPE(op2(e22,e22),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g153,plain,
( ~ sPE(op2(e21,e21),e23)
| sPE(e23,op2(e21,e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g154,plain,
( ~ sPE(e22,op2(e21,e21))
| sPE(op2(e21,e21),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g155,plain,
( ~ sPE(e23,op2(e21,e21))
| ~ sPE(op2(e21,e21),e22)
| sPE(e23,e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g156,plain,
( ~ sPE(e22,op2(e22,e23))
| ~ sPE(op2(e22,e23),op2(e22,h(j(e23))))
| sPE(e22,op2(e22,h(j(e23)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g157,plain,
( ~ sPE(op2(e22,h(j(e23))),e22)
| sPE(e22,op2(e22,h(j(e23)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g158,plain,
sPE(op2(e22,e23),e21),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).
cnf(g159,plain,
( ~ sPE(op2(e22,e23),e22)
| sPE(e22,op2(e22,e23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g160,plain,
( ~ sPE(e22,h(e11))
| ~ sPE(h(e11),h(j(h(e11))))
| sPE(e22,h(j(h(e11)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g161,plain,
( ~ sPE(j(e21),j(h(e11)))
| ~ sPE(j(h(e11)),e11)
| sPE(j(e21),e11) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g162,plain,
( ~ sPE(op1(e10,e12),e12)
| sPE(h(op1(e10,e12)),h(e12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g163,plain,
( ~ sPE(e22,h(op1(e10,e12)))
| ~ sPE(h(op1(e10,e12)),h(e12))
| sPE(e22,h(e12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g164,plain,
sPE(op1(e12,e12),e10),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).
cnf(g165,plain,
sPE(op2(e23,e21),e22),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).
cnf(g166,plain,
sPE(op1(e13,e12),e11),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).
cnf(g167,plain,
sPE(op1(e11,e13),e12),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).
cnf(g168,plain,
( ~ sPE(h(op1(e10,e10)),op2(e22,e22))
| ~ sPE(op2(e22,e22),e23)
| sPE(h(op1(e10,e10)),e23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g169,plain,
( ~ sPE(e22,h(op1(e10,e10)))
| ~ sPE(h(op1(e10,e10)),e23)
| sPE(e22,e23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g170,plain,
sPE(op2(e22,e20),e22),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).
cnf(g171,plain,
( ~ sPE(op2(h(e11),h(e10)),e22)
| sPE(e22,op2(h(e11),h(e10))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g172,plain,
sPE(op1(e11,e10),e11),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).
cnf(g173,plain,
( ~ sPE(op2(e22,e21),e20)
| ~ sPE(e20,h(j(e20)))
| sPE(op2(e22,e21),h(j(e20))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g174,plain,
sPE(op2(e22,e21),e20),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).
cnf(g175,plain,
( ~ sPE(e22,op2(e22,e21))
| ~ sPE(op2(e22,e21),h(j(e20)))
| sPE(e22,h(j(e20))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g176,plain,
( ~ sPE(e23,e22)
| sPE(e22,e23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g177,plain,
( ~ sPE(op2(e22,e22),e23)
| sPE(e23,op2(e22,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g178,plain,
( ~ sPE(e22,e22)
| ~ sPE(h(j(e23)),op2(e22,e22))
| sPE(op2(e22,h(j(e23))),op2(e22,op2(e22,e22))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g179,plain,
( ~ sPE(op2(e22,h(j(e23))),op2(e22,op2(e22,e22)))
| ~ sPE(op2(e22,op2(e22,e22)),e22)
| sPE(op2(e22,h(j(e23))),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g180,plain,
( ~ sPE(e23,op2(e22,e22))
| ~ sPE(op2(e22,e22),e22)
| sPE(e23,e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g181,plain,
( ~ sPE(op2(e22,e22),h(j(e23)))
| sPE(h(j(e23)),op2(e22,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g182,plain,
( ~ sPE(e22,op2(e23,e22))
| ~ sPE(op2(e23,e22),op2(h(j(e23)),e22))
| sPE(e22,op2(h(j(e23)),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g183,plain,
( ~ sPE(op2(e22,e22),e23)
| ~ sPE(e23,h(j(e23)))
| sPE(op2(e22,e22),h(j(e23))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g184,plain,
sPE(op1(e11,e12),e13),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).
cnf(g185,plain,
sPE(op1(e12,e13),e11),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).
cnf(g186,plain,
( ~ sPE(e12,j(e22))
| ~ sPE(j(e22),e13)
| sPE(e12,e13) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g187,plain,
( ~ sPE(e22,h(op1(e11,e10)))
| ~ sPE(h(op1(e11,e10)),op2(e22,e21))
| sPE(e22,op2(e22,e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g188,plain,
sPE(op2(e20,e22),e22),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).
cnf(g189,plain,
( ~ sPE(e22,h(e10))
| ~ sPE(h(e10),h(j(h(e10))))
| sPE(e22,h(j(h(e10)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g190,plain,
sPE(op1(e11,e11),e10),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).
cnf(g191,plain,
( ~ sPE(e10,j(e21))
| ~ sPE(j(e21),e11)
| sPE(e10,e11) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g192,plain,
( ~ sPE(op1(e12,e12),e10)
| sPE(h(op1(e12,e12)),h(e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g193,plain,
( ~ sPE(e22,h(op1(e12,e12)))
| ~ sPE(h(op1(e12,e12)),h(e10))
| sPE(e22,h(e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g194,plain,
( ~ sPE(h(e11),h(e11))
| ~ sPE(h(e13),e22)
| sPE(op2(h(e11),h(e13)),op2(h(e11),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g195,plain,
( ~ sPE(op2(e22,h(j(e23))),op2(e22,e23))
| ~ sPE(op2(e22,e23),e21)
| sPE(op2(e22,h(j(e23))),e21) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g196,plain,
( ~ sPE(e22,op2(e22,h(j(e23))))
| ~ sPE(op2(e22,h(j(e23))),e21)
| sPE(e22,e21) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g197,plain,
( ~ sPE(h(e12),e23)
| ~ sPE(h(e12),h(e12))
| sPE(op2(h(e12),h(e12)),op2(e23,h(e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g198,plain,
( ~ sPE(op1(e11,e10),e11)
| sPE(e11,op1(e11,e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g199,plain,
( ~ sPE(op1(e11,e10),e11)
| sPE(h(op1(e11,e10)),h(e11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g200,plain,
( ~ sPE(e22,h(op1(e11,e10)))
| ~ sPE(h(op1(e11,e10)),h(e11))
| sPE(e22,h(e11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g201,plain,
( ~ sPE(h(op1(e11,e10)),op2(h(e11),h(e10)))
| ~ sPE(op2(h(e11),h(e10)),op2(e21,e23))
| sPE(h(op1(e11,e10)),op2(e21,e23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g202,plain,
( ~ sPE(h(e11),e21)
| ~ sPE(h(e10),e23)
| sPE(op2(h(e11),h(e10)),op2(e21,e23)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g203,plain,
( ~ sPE(h(op1(e11,e10)),op2(e21,e23))
| ~ sPE(op2(e21,e23),e22)
| sPE(h(op1(e11,e10)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g204,plain,
sPE(op2(e21,e23),e22),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)]) ).
cnf(g205,plain,
( ~ sPE(e22,op2(h(e11),e21))
| sPE(op2(h(e11),e21),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g206,plain,
( ~ sPE(e22,e22)
| ~ sPE(op2(e22,e22),op2(h(e12),h(e12)))
| sPE(op2(e22,op2(e22,e22)),op2(e22,op2(h(e12),h(e12)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g207,plain,
( ~ sPE(op2(e22,op2(e22,e22)),op2(e22,op2(h(e12),h(e12))))
| ~ sPE(op2(e22,op2(h(e12),h(e12))),e22)
| sPE(op2(e22,op2(e22,e22)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g208,plain,
( ~ sPE(j(h(e11)),e11)
| ~ sPE(e11,op1(e12,e13))
| sPE(j(h(e11)),op1(e12,e13)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g209,plain,
( ~ sPE(op1(e12,e13),e11)
| sPE(e11,op1(e12,e13)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g210,plain,
( ~ sPE(j(h(e11)),op1(e12,e13))
| sPE(h(j(h(e11))),h(op1(e12,e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g211,plain,
( ~ sPE(h(j(h(e11))),h(op1(e12,e13)))
| ~ sPE(h(op1(e12,e13)),e22)
| sPE(h(j(h(e11))),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g212,plain,
( ~ sPE(j(h(j(h(e11)))),j(h(e11)))
| ~ sPE(j(h(e11)),e11)
| sPE(j(h(j(h(e11)))),e11) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g213,plain,
( ~ sPE(h(j(h(e11))),e22)
| sPE(e22,h(j(h(e11)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g214,plain,
sPE(op1(e13,e13),e10),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)]) ).
cnf(g215,plain,
( ~ sPE(op1(e13,e12),e11)
| sPE(h(op1(e13,e12)),h(e11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g216,plain,
( ~ sPE(e22,h(op1(e13,e12)))
| ~ sPE(h(op1(e13,e12)),h(e11))
| sPE(e22,h(e11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g217,plain,
( ~ sPE(op2(h(j(e22)),e22),op2(h(e13),e22))
| ~ sPE(op2(h(e13),e22),e22)
| sPE(op2(h(j(e22)),e22),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g218,plain,
( ~ sPE(op2(h(e11),h(e13)),op2(h(e11),e22))
| ~ sPE(op2(h(e11),e22),e22)
| sPE(op2(h(e11),h(e13)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g219,plain,
( ~ sPE(j(e22),j(h(j(h(e11)))))
| ~ sPE(j(h(j(h(e11)))),e11)
| sPE(j(e22),e11) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g220,plain,
( ~ sPE(e22,h(j(h(e11))))
| sPE(j(e22),j(h(j(h(e11))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g221,plain,
( ~ sPE(e22,op2(e23,h(e12)))
| sPE(op2(e23,h(e12)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g222,plain,
( ~ sPE(op2(h(e12),h(e12)),op2(e23,h(e12)))
| ~ sPE(op2(e23,h(e12)),e22)
| sPE(op2(h(e12),h(e12)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g223,plain,
( ~ sPE(op2(h(j(e23)),e22),op2(e23,e22))
| ~ sPE(op2(e23,e22),e21)
| sPE(op2(h(j(e23)),e22),e21) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g224,plain,
( ~ sPE(e22,op2(h(j(e23)),e22))
| ~ sPE(op2(h(j(e23)),e22),e21)
| sPE(e22,e21) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g225,plain,
( ~ sPE(j(e21),j(h(e10)))
| ~ sPE(j(h(e10)),e10)
| sPE(j(e21),e10) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g226,plain,
( ~ sPE(op1(e13,e13),e10)
| sPE(h(op1(e13,e13)),h(e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g227,plain,
( ~ sPE(h(e12),e23)
| ~ sPE(e23,op2(e21,e21))
| sPE(h(e12),op2(e21,e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g228,plain,
( ~ sPE(h(e12),op2(e21,e21))
| ~ sPE(op2(e21,e21),e23)
| sPE(h(e12),e23) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g229,plain,
( ~ sPE(e22,h(e12))
| ~ sPE(h(e12),op2(e21,e21))
| sPE(e22,op2(e21,e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g230,plain,
( ~ sPE(op1(e11,e13),e12)
| sPE(h(op1(e11,e13)),h(e12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g231,plain,
( ~ sPE(e22,h(op1(e11,e13)))
| ~ sPE(h(op1(e11,e13)),h(e12))
| sPE(e22,h(e12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g232,plain,
( ~ sPE(h(op1(e11,e12)),op2(h(e11),h(e12)))
| ~ sPE(op2(h(e11),h(e12)),op2(e23,h(e12)))
| sPE(h(op1(e11,e12)),op2(e23,h(e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g233,plain,
( ~ sPE(h(e11),e23)
| ~ sPE(h(e12),h(e12))
| sPE(op2(h(e11),h(e12)),op2(e23,h(e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g234,plain,
( ~ sPE(e22,h(op1(e11,e12)))
| ~ sPE(h(op1(e11,e12)),op2(e23,h(e12)))
| sPE(e22,op2(e23,h(e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g235,plain,
( ~ sPE(op2(h(e12),h(e13)),op2(h(e12),e22))
| ~ sPE(op2(h(e12),e22),e22)
| sPE(op2(h(e12),h(e13)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g236,plain,
( ~ sPE(e22,e22)
| ~ sPE(op2(e22,e22),op2(h(e13),h(e13)))
| sPE(op2(e22,op2(e22,e22)),op2(e22,op2(h(e13),h(e13)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g237,plain,
( ~ sPE(op2(e22,op2(e22,e22)),op2(e22,op2(h(e13),h(e13))))
| ~ sPE(op2(e22,op2(h(e13),h(e13))),e22)
| sPE(op2(e22,op2(e22,e22)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g238,plain,
( ~ sPE(op2(e20,e22),e22)
| sPE(e22,op2(e20,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g239,plain,
( ~ sPE(j(h(e11)),e11)
| ~ sPE(e11,op1(e10,e11))
| sPE(j(h(e11)),op1(e10,e11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g240,plain,
( ~ sPE(op1(e10,e11),e11)
| sPE(e11,op1(e10,e11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g241,plain,
( ~ sPE(j(h(e11)),op1(e10,e11))
| sPE(h(j(h(e11))),h(op1(e10,e11))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g242,plain,
( ~ sPE(e22,h(j(h(e11))))
| ~ sPE(h(j(h(e11))),h(op1(e10,e11)))
| sPE(e22,h(op1(e10,e11))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g243,plain,
( ~ sPE(h(e10),e23)
| ~ sPE(h(e12),e21)
| sPE(op2(h(e10),h(e12)),op2(e23,e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g244,plain,
( ~ sPE(op2(h(e10),h(e12)),op2(e23,e21))
| ~ sPE(op2(e23,e21),e22)
| sPE(op2(h(e10),h(e12)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g245,plain,
( ~ sPE(op2(e22,e22),op2(e22,h(e13)))
| ~ sPE(op2(e22,h(e13)),e22)
| sPE(op2(e22,e22),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g246,plain,
( ~ sPE(j(e22),e13)
| ~ sPE(e13,op1(e11,e12))
| sPE(j(e22),op1(e11,e12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g247,plain,
( ~ sPE(op1(e11,e12),e13)
| sPE(e13,op1(e11,e12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g248,plain,
( ~ sPE(j(e22),op1(e11,e12))
| sPE(h(j(e22)),h(op1(e11,e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g249,plain,
( ~ sPE(e22,h(j(e22)))
| ~ sPE(h(j(e22)),h(op1(e11,e12)))
| sPE(e22,h(op1(e11,e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g250,plain,
( ~ sPE(op1(e10,e10),e10)
| sPE(e10,op1(e10,e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g251,plain,
( ~ sPE(j(h(e10)),e10)
| ~ sPE(e10,op1(e10,e10))
| sPE(j(h(e10)),op1(e10,e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g252,plain,
( ~ sPE(j(h(e10)),op1(e10,e10))
| sPE(h(j(h(e10))),h(op1(e10,e10))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g253,plain,
( ~ sPE(e22,h(j(h(e10))))
| ~ sPE(h(j(h(e10))),h(op1(e10,e10)))
| sPE(e22,h(op1(e10,e10))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g254,plain,
( ~ sPE(h(e10),e23)
| ~ sPE(h(e11),e22)
| sPE(op2(h(e10),h(e11)),op2(e23,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g255,plain,
( ~ sPE(h(op1(e10,e11)),op2(h(e10),h(e11)))
| ~ sPE(op2(h(e10),h(e11)),op2(e23,e22))
| sPE(h(op1(e10,e11)),op2(e23,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g256,plain,
( ~ sPE(e22,h(op1(e10,e11)))
| ~ sPE(h(op1(e10,e11)),op2(e23,e22))
| sPE(e22,op2(e23,e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g257,plain,
( ~ sPE(j(e22),e11)
| ~ sPE(e11,op1(e11,e10))
| sPE(j(e22),op1(e11,e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g258,plain,
( ~ sPE(j(e22),op1(e11,e10))
| sPE(h(j(e22)),h(op1(e11,e10))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g259,plain,
( ~ sPE(e22,h(j(e22)))
| ~ sPE(h(j(e22)),h(op1(e11,e10)))
| sPE(e22,h(op1(e11,e10))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g260,plain,
( ~ sPE(op2(h(e13),h(e12)),op2(h(e13),e22))
| ~ sPE(op2(h(e13),e22),e22)
| sPE(op2(h(e13),h(e12)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g261,plain,
( ~ sPE(op2(e22,e23),op2(e22,h(e13)))
| ~ sPE(op2(e22,h(e13)),e22)
| sPE(op2(e22,e23),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g262,plain,
( ~ sPE(op2(e22,h(e13)),e22)
| sPE(e22,op2(e22,h(e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g263,plain,
( ~ sPE(e22,op2(e22,h(e13)))
| sPE(op2(e22,h(e13)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g264,plain,
( ~ sPE(e22,e22)
| ~ sPE(op2(e22,e22),op2(h(e11),h(e11)))
| sPE(op2(e22,op2(e22,e22)),op2(e22,op2(h(e11),h(e11)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g265,plain,
( ~ sPE(op2(e22,op2(e22,e22)),op2(e22,op2(h(e11),h(e11))))
| ~ sPE(op2(e22,op2(h(e11),h(e11))),e22)
| sPE(op2(e22,op2(e22,e22)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g266,plain,
( ~ sPE(h(op1(e13,e13)),h(e10))
| ~ sPE(h(e10),e20)
| sPE(h(op1(e13,e13)),e20) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g267,plain,
( ~ sPE(e22,e22)
| ~ sPE(h(op1(e13,e13)),e20)
| sPE(op2(e22,h(op1(e13,e13))),op2(e22,e20)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g268,plain,
( ~ sPE(op2(e22,h(op1(e13,e13))),op2(e22,e20))
| ~ sPE(op2(e22,e20),e22)
| sPE(op2(e22,h(op1(e13,e13))),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g269,plain,
~ sPE(e10,e11),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)]) ).
cnf(g270,plain,
( ~ sPE(h(op1(e11,e11)),h(e10))
| ~ sPE(h(e10),e20)
| sPE(h(op1(e11,e11)),e20) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g271,plain,
( ~ sPE(op1(e11,e11),e10)
| sPE(h(op1(e11,e11)),h(e10)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g272,plain,
( ~ sPE(e22,e22)
| ~ sPE(h(op1(e11,e11)),e20)
| sPE(op2(e22,h(op1(e11,e11))),op2(e22,e20)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g273,plain,
( ~ sPE(op2(e22,h(op1(e11,e11))),op2(e22,e20))
| ~ sPE(op2(e22,e20),e22)
| sPE(op2(e22,h(op1(e11,e11))),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g274,plain,
( ~ sPE(h(e11),h(e11))
| ~ sPE(h(e10),e21)
| sPE(op2(h(e11),h(e10)),op2(h(e11),e21)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g275,plain,
( ~ sPE(op2(h(e11),h(e10)),op2(h(e11),e21))
| ~ sPE(op2(h(e11),e21),e22)
| sPE(op2(h(e11),h(e10)),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g276,plain,
( ~ sPE(h(op1(e11,e12)),op2(h(e11),e22))
| sPE(op2(h(e11),e22),h(op1(e11,e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g277,plain,
( ~ sPE(e22,op2(h(e11),e22))
| ~ sPE(op2(h(e11),e22),h(op1(e11,e12)))
| sPE(e22,h(op1(e11,e12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g278,plain,
( ~ sPE(e22,op2(h(j(e20)),e22))
| ~ sPE(op2(h(j(e20)),e22),op2(h(e11),e22))
| sPE(e22,op2(h(e11),e22)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g279,plain,
~ sPE(e12,e13),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)]) ).
cnf(g280,plain,
( ~ sPE(e22,op2(e22,h(j(e20))))
| ~ sPE(op2(e22,h(j(e20))),op2(e22,h(e13)))
| sPE(e22,op2(e22,h(e13))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g281,plain,
( ~ sPE(e22,op2(e22,h(j(e20))))
| ~ sPE(op2(e22,h(j(e20))),op2(e22,h(e10)))
| sPE(e22,op2(e22,h(e10))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g282,plain,
( ~ sPE(op1(e11,e12),e13)
| sPE(h(op1(e11,e12)),h(e13)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g283,plain,
( ~ sPE(e22,h(op1(e11,e12)))
| ~ sPE(h(op1(e11,e12)),h(e13))
| sPE(e22,h(e13)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g284,plain,
( ~ sPE(h(op1(e12,e12)),h(e10))
| ~ sPE(h(e10),e20)
| sPE(h(op1(e12,e12)),e20) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g285,plain,
( ~ sPE(e22,e22)
| ~ sPE(h(op1(e12,e12)),e20)
| sPE(op2(e22,h(op1(e12,e12))),op2(e22,e20)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g286,plain,
( ~ sPE(op2(e22,h(op1(e12,e12))),op2(e22,e20))
| ~ sPE(op2(e22,e20),e22)
| sPE(op2(e22,h(op1(e12,e12))),e22) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG020+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n029.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 Jun 8 19:02:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 150.40/19.27 % symbols: 14
% 150.40/19.27 % clauses: 115
% 150.40/19.27 % start clauses: 48
% 150.40/19.27 % iterative deepening steps: 540
% 150.40/19.27 % maximum path limit: 3
% 150.40/19.27 % literal attempts: 3107561
% 150.40/19.27 % depth failures: 2558028
% 150.40/19.27 % regularity failures: 50841
% 150.40/19.27 % tautology failures: 229894
% 150.40/19.27 % reductions: 53582
% 150.40/19.27 % extensions: 3034092
% 150.40/19.27 % SAT variables: 403980
% 150.40/19.27 % SAT clauses: 481663
% 150.40/19.27 % WalkSAT solutions: 478678
% 150.40/19.27 % CDCL solutions: 2978
% 150.40/19.27 % SZS status Theorem for theBenchmark
% 150.40/19.27 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------