%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP727-1 : TPTP v9.2.1. Released v4.0.0.
% 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 : n028.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 04:27:10 PM UTC 2026
% Result : Unsatisfiable 153.64s 77.66s
% Output : CNFRefutation 155.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_22)
% Comments :
%------------------------------------------------------------------------------
cnf(c16,axiom,
op_l(op_l(X1,X2,X3),X4,X5) = op_l(op_l(X1,X4,X5),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16) ).
cnf(c11,axiom,
op_l(X1,X2,X3) = mult(i(mult(X3,X2)),mult(X3,mult(X2,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
cnf(c15,axiom,
op_l(op_r(X1,X2,X3),X4,X5) = op_r(op_l(X1,X4,X5),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15) ).
cnf(c12,axiom,
op_r(X1,X2,X3) = rd(mult(mult(X1,X2),X3),mult(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).
cnf(c14,axiom,
op_r(op_r(X1,X2,X3),X4,X5) = op_r(op_r(X1,X4,X5),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c14) ).
cnf(c18,axiom,
op_t(op_l(X1,X2,X3),X4) = op_l(op_t(X1,X4),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).
cnf(c13,axiom,
op_t(X1,X2) = mult(i(X2),mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).
cnf(c17,axiom,
op_t(op_r(X1,X2,X3),X4) = op_r(op_t(X1,X4),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).
cnf(c19,axiom,
op_t(op_t(X1,X2),X3) = op_t(op_t(X1,X3),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c19) ).
cnf(c10,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,mult(X2,X3)),asoc(X1,X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
cnf(goals,negated_conjecture,
asoc(a,b,asoc(c,d,e)) != unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c09,axiom,
mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(c20,axiom,
asoc(asoc(X1,X2,X3),X4,X5) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c20) ).
cnf(c05,axiom,
i(mult(X1,X2)) = mult(i(X1),i(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c06,axiom,
mult(i(X1),mult(X1,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c07,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c08,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c04,axiom,
mult(i(X1),X1) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c03,axiom,
mult(X1,i(X1)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c01,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c02,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(i_0_21,axiom,
op_l(op_l(X1,X2,X3),X4,X5) = op_l(op_l(X1,X4,X5),X2,X3),
c16 ).
cnf(i_0_22,axiom,
op_l(X1,X2,X3) = mult(i(mult(X3,X2)),mult(X3,mult(X2,X1))),
c11 ).
cnf(i_0_23,axiom,
op_l(op_r(X1,X2,X3),X4,X5) = op_r(op_l(X1,X4,X5),X2,X3),
c15 ).
cnf(i_0_24,axiom,
op_r(X1,X2,X3) = rd(mult(mult(X1,X2),X3),mult(X2,X3)),
c12 ).
cnf(i_0_25,axiom,
op_r(op_r(X1,X2,X3),X4,X5) = op_r(op_r(X1,X4,X5),X2,X3),
c14 ).
cnf(i_0_26,axiom,
op_t(op_l(X1,X2,X3),X4) = op_l(op_t(X1,X4),X2,X3),
c18 ).
cnf(i_0_27,axiom,
op_t(X1,X2) = mult(i(X2),mult(X1,X2)),
c13 ).
cnf(i_0_28,axiom,
op_t(op_r(X1,X2,X3),X4) = op_r(op_t(X1,X4),X2,X3),
c17 ).
cnf(i_0_29,axiom,
op_t(op_t(X1,X2),X3) = op_t(op_t(X1,X3),X2),
c19 ).
cnf(i_0_30,plain,
mult(i(mult(X3,X2)),mult(X3,mult(X2,mult(i(mult(X5,X4)),mult(X5,mult(X4,X1)))))) = mult(i(mult(X5,X4)),mult(X5,mult(X4,mult(i(mult(X3,X2)),mult(X3,mult(X2,X1)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_21,c_0_22]),c_0_22]),c_0_22]),c_0_22]),
[final] ).
cnf(i_0_31,plain,
rd(mult(mult(mult(i(mult(X5,X4)),mult(X5,mult(X4,X1))),X2),X3),mult(X2,X3)) = mult(i(mult(X5,X4)),mult(X5,mult(X4,rd(mult(mult(X1,X2),X3),mult(X2,X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_23,c_0_24]),c_0_24]),c_0_22]),c_0_22]),
[final] ).
cnf(i_0_32,plain,
rd(mult(mult(rd(mult(mult(X1,X2),X3),mult(X2,X3)),X4),X5),mult(X4,X5)) = rd(mult(mult(rd(mult(mult(X1,X4),X5),mult(X4,X5)),X2),X3),mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_25,c_0_24]),c_0_24]),c_0_24]),c_0_24]),
[final] ).
cnf(i_0_33,plain,
mult(i(X4),mult(mult(i(mult(X3,X2)),mult(X3,mult(X2,X1))),X4)) = mult(i(mult(X3,X2)),mult(X3,mult(X2,mult(i(X4),mult(X1,X4))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_26,c_0_27]),c_0_27]),c_0_22]),c_0_22]),
[final] ).
cnf(i_0_34,plain,
mult(i(X4),mult(rd(mult(mult(X1,X2),X3),mult(X2,X3)),X4)) = rd(mult(mult(mult(i(X4),mult(X1,X4)),X2),X3),mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_28,c_0_27]),c_0_27]),c_0_24]),c_0_24]),
[final] ).
cnf(i_0_35,plain,
mult(i(X2),mult(mult(i(X3),mult(X1,X3)),X2)) = mult(i(X3),mult(mult(i(X2),mult(X1,X2)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_29,c_0_27]),c_0_27]),c_0_27]),c_0_27]),
[final] ).
cnf(i_0_36,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,mult(X2,X3)),asoc(X1,X2,X3)),
c10,
[final] ).
cnf(i_0_37,negated_conjecture,
asoc(a,b,asoc(c,d,e)) != unit,
goals,
[final] ).
cnf(i_0_38,axiom,
mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))),
c09,
[final] ).
cnf(i_0_39,axiom,
asoc(asoc(X1,X2,X3),X4,X5) = unit,
c20,
[final] ).
cnf(i_0_40,axiom,
i(mult(X1,X2)) = mult(i(X1),i(X2)),
c05,
[final] ).
cnf(i_0_41,axiom,
mult(i(X1),mult(X1,X2)) = X2,
c06,
[final] ).
cnf(i_0_42,axiom,
rd(mult(X1,X2),X2) = X1,
c07,
[final] ).
cnf(i_0_43,axiom,
mult(rd(X1,X2),X2) = X1,
c08,
[final] ).
cnf(i_0_44,axiom,
mult(i(X1),X1) = unit,
c04,
[final] ).
cnf(i_0_45,axiom,
mult(X1,i(X1)) = unit,
c03,
[final] ).
cnf(i_0_46,axiom,
mult(unit,X1) = X1,
c01,
[final] ).
cnf(i_0_47,axiom,
mult(X1,unit) = X1,
c02,
[final] ).
cnf(i_0_48,axiom,
X1 = X1 ).
cnf(i_0_49,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_50,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_51,axiom,
( X1 != X2
| mult(X1,X3) = mult(X2,X3) ) ).
cnf(i_0_52,axiom,
( X1 != X2
| mult(X3,X1) = mult(X3,X2) ) ).
cnf(i_0_53,axiom,
( X1 != X2
| i(X1) = i(X2) ) ).
cnf(i_0_54,axiom,
( X1 != X2
| rd(X1,X3) = rd(X2,X3) ) ).
cnf(i_0_55,axiom,
( X1 != X2
| rd(X3,X1) = rd(X3,X2) ) ).
cnf(i_0_56,axiom,
( X1 != X2
| asoc(X1,X3,X4) = asoc(X2,X3,X4) ) ).
cnf(i_0_57,axiom,
( X1 != X2
| asoc(X3,X1,X4) = asoc(X3,X2,X4) ) ).
cnf(i_0_58,axiom,
( X1 != X2
| asoc(X3,X4,X1) = asoc(X3,X4,X2) ) ).
cnf(i_0_59,plain,
X1 = mult(unit,X1),
inference(scs_inference,[],[i_0_46,i_0_49]) ).
cnf(i_0_60,plain,
asoc(a,b,asoc(c,d,e)) != mult(unit,unit),
inference(scs_inference,[],[i_0_37,i_0_46,i_0_49,i_0_50]) ).
cnf(i_0_61,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_62,plain,
X1 = mult(X1,unit),
inference(scs_inference,[],[i_0_47,i_0_49]) ).
cnf(i_0_63,plain,
mult(mult(mult(X1,X2),X3),unit) = mult(mult(X1,mult(X2,X3)),asoc(X1,X2,X3)),
inference(scs_inference,[],[i_0_47,i_0_36,i_0_49,i_0_50]) ).
cnf(i_0_64,plain,
mult(X1,unit) = X1,
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_67,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_70,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_77,plain,
X1 = mult(rd(X1,X2),X2),
inference(scs_inference,[],[i_0_43,i_0_49]) ).
cnf(i_0_80,plain,
unit = mult(i(X1),X1),
inference(scs_inference,[],[i_0_44,i_0_49]) ).
cnf(i_0_83,plain,
unit = mult(X1,i(X1)),
inference(scs_inference,[],[i_0_45,i_0_49]) ).
cnf(i_0_114,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
inference(scs_inference,[],[i_0_38,i_0_49]) ).
cnf(i_0_146,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_212,plain,
mult(mult(X1,mult(X2,X3)),asoc(X1,X2,X3)) = mult(mult(X1,X2),X3),
inference(scs_inference,[],[i_0_36,i_0_49]) ).
cnf(i_0_220,plain,
mult(i(X1),i(X2)) = i(mult(X1,X2)),
inference(scs_inference,[],[i_0_40,i_0_49]) ).
cnf(i_0_231,plain,
X1 = rd(mult(X1,X2),X2),
inference(scs_inference,[],[i_0_42,i_0_49]) ).
cnf(i_0_247,plain,
X1 = mult(i(X2),mult(X2,X1)),
inference(scs_inference,[],[i_0_41,i_0_49]) ).
cnf(i_0_385,plain,
asoc(a,b,asoc(c,d,e)) != mult(rd(unit,X1),X1),
inference(scs_inference,[],[i_0_37,i_0_43,i_0_50]) ).
cnf(i_0_386,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_387,plain,
asoc(a,b,asoc(c,d,e)) != rd(mult(unit,X1),X1),
inference(scs_inference,[],[i_0_37,i_0_42,i_0_50]) ).
cnf(i_0_388,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_389,plain,
asoc(a,b,asoc(c,d,e)) != mult(i(X1),mult(X1,unit)),
inference(scs_inference,[],[i_0_37,i_0_41,i_0_50]) ).
cnf(i_0_390,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_429,plain,
mult(i(X1),mult(mult(i(X2),mult(X3,X2)),X1)) = mult(i(X2),mult(mult(i(X1),mult(X3,X1)),X2)),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_433,plain,
mult(i(X1),mult(mult(i(X2),mult(X3,X2)),X1)) = mult(i(X2),mult(mult(i(X1),mult(X3,X1)),X2)),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_439,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_441,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_444,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_447,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_449,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_452,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_455,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_457,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_459,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_461,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_464,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_466,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_468,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_471,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_473,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_475,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_477,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_480,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_483,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_486,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_488,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_491,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_494,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_497,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_500,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_503,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_506,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_509,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_512,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_515,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_518,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_521,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_524,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_527,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_530,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_533,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_536,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_539,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_542,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_545,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_548,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_551,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_554,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_557,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_560,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_563,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_566,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_569,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_572,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_575,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_578,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_581,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_584,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_587,plain,
rd(mult(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_593,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_595,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_597,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_599,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_601,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_603,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_605,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_607,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_609,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_611,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_613,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_615,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_617,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_619,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_621,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_623,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_625,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_627,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_629,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_631,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_633,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_635,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_637,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_639,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_641,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_643,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_645,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_647,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_649,plain,
mult(rd(X1,X2),X2) = X1,
inference(rename_variables,[],[i_0_43]) ).
cnf(i_0_735,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_738,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_741,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_744,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_747,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_750,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_753,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_756,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_759,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_762,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_765,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_768,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_771,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_774,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_777,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_780,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_783,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_786,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_789,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_792,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_795,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_798,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_801,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_804,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_807,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_810,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_813,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_816,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_819,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_822,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_825,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_828,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_831,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_834,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_837,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_840,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_843,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_846,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_849,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_852,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_855,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_858,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_861,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_864,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_867,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_870,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_873,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_876,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_879,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_882,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_885,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_888,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_891,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_894,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_897,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_900,plain,
mult(unit,X1) = X1,
inference(rename_variables,[],[i_0_46]) ).
cnf(c_0_260,plain,
X1 = rd(mult(X1,X2),X2),
i_0_231 ).
cnf(c_0_261,plain,
unit = mult(i(X1),X1),
i_0_80 ).
cnf(c_0_262,plain,
X1 = mult(i(X2),mult(X2,X1)),
i_0_247 ).
cnf(c_0_263,plain,
i(X1) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_264,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,mult(X2,X3)),asoc(X1,X2,X3)),
i_0_36 ).
cnf(c_0_265,plain,
mult(rd(unit,X1),mult(X1,X2)) = X2,
inference(rw,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_266,plain,
X1 = mult(rd(X1,X2),X2),
i_0_77 ).
cnf(c_0_267,plain,
X1 = mult(unit,X1),
i_0_59 ).
cnf(c_0_268,plain,
mult(X1,asoc(rd(unit,X2),X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]),c_0_267]) ).
cnf(c_0_269,plain,
rd(X1,mult(X2,X1)) = rd(unit,X2),
inference(spm,[status(thm)],[c_0_260,c_0_265]) ).
cnf(c_0_270,plain,
asoc(rd(unit,X1),X1,X2) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_268]),c_0_266]) ).
cnf(c_0_271,plain,
rd(unit,rd(X1,X2)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_269,c_0_266]) ).
cnf(c_0_272,plain,
asoc(rd(X1,X2),rd(X2,X1),X3) = unit,
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_273,plain,
unit = mult(X1,i(X1)),
i_0_83 ).
cnf(c_0_274,axiom,
i(mult(X1,X2)) = mult(i(X1),i(X2)),
i_0_40 ).
cnf(c_0_275,plain,
X1 = mult(X1,unit),
i_0_62 ).
cnf(c_0_276,plain,
asoc(X1,rd(unit,X1),X2) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_269]),c_0_260]) ).
cnf(c_0_277,plain,
mult(X1,rd(unit,X1)) = unit,
inference(rw,[status(thm)],[c_0_273,c_0_263]) ).
cnf(c_0_278,plain,
mult(rd(unit,X1),rd(unit,X2)) = rd(unit,mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_263]),c_0_263]),c_0_263]) ).
cnf(c_0_279,plain,
rd(X1,unit) = X1,
inference(spm,[status(thm)],[c_0_275,c_0_266]) ).
cnf(c_0_280,plain,
mult(X1,mult(rd(unit,X1),X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_276]),c_0_275]),c_0_277]),c_0_267]) ).
cnf(c_0_281,plain,
mult(X1,rd(unit,mult(X1,X2))) = rd(unit,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_278]),c_0_271]),c_0_279]) ).
cnf(c_0_282,plain,
rd(unit,mult(rd(unit,X1),X2)) = mult(X1,rd(unit,X2)),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_283,axiom,
asoc(asoc(X1,X2,X3),X4,X5) = unit,
i_0_39 ).
cnf(c_0_284,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3),
i_0_114 ).
cnf(c_0_285,plain,
rd(unit,mult(X1,rd(unit,X2))) = mult(rd(unit,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_282]),c_0_279]) ).
cnf(c_0_286,plain,
mult(mult(asoc(X1,X2,X3),X4),X5) = mult(asoc(X1,X2,X3),mult(X4,X5)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_283]),c_0_275]) ).
cnf(c_0_287,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_260,c_0_284]) ).
cnf(c_0_288,plain,
mult(rd(rd(unit,X1),X2),X1) = rd(unit,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_266]),c_0_271]) ).
cnf(c_0_289,plain,
rd(mult(asoc(X1,X2,X3),mult(X4,X5)),X5) = mult(asoc(X1,X2,X3),X4),
inference(spm,[status(thm)],[c_0_260,c_0_286]) ).
cnf(c_0_290,plain,
rd(mult(X1,X2),rd(unit,X1)) = mult(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_277]),c_0_275]) ).
cnf(c_0_291,plain,
rd(X1,rd(unit,X2)) = rd(X2,rd(unit,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_288]),c_0_271]) ).
cnf(c_0_292,plain,
rd(asoc(X1,X2,X3),rd(unit,X4)) = mult(asoc(X1,X2,X3),X4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_277]),c_0_275]) ).
cnf(c_0_293,plain,
rd(X1,rd(unit,mult(X1,X2))) = mult(X1,mult(X2,X1)),
inference(rw,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_294,plain,
rd(unit,mult(X1,rd(X2,X3))) = mult(rd(unit,X1),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_278,c_0_271]) ).
cnf(c_0_295,plain,
mult(asoc(X1,X2,X3),rd(unit,X4)) = rd(asoc(X1,X2,X3),X4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_275]),c_0_267]),c_0_267]) ).
cnf(c_0_296,plain,
rd(mult(asoc(X1,X2,X3),X4),X5) = mult(asoc(X1,X2,X3),rd(X4,X5)),
inference(spm,[status(thm)],[c_0_289,c_0_266]) ).
cnf(c_0_297,plain,
mult(rd(unit,asoc(X1,X2,X3)),X4) = rd(X4,asoc(X1,X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_271]),c_0_279]) ).
cnf(c_0_298,plain,
mult(rd(X1,X2),rd(unit,X1)) = rd(unit,X2),
inference(spm,[status(thm)],[c_0_281,c_0_266]) ).
cnf(c_0_299,plain,
rd(rd(X1,X2),asoc(X3,X4,X5)) = rd(X1,mult(asoc(X3,X4,X5),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_296]),c_0_294]),c_0_297]) ).
cnf(c_0_300,plain,
rd(rd(unit,X1),rd(unit,X2)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_260,c_0_298]) ).
cnf(c_0_301,plain,
rd(mult(X1,X2),mult(asoc(X3,X4,X5),X2)) = rd(X1,asoc(X3,X4,X5)),
inference(spm,[status(thm)],[c_0_299,c_0_260]) ).
cnf(c_0_302,plain,
rd(rd(unit,X1),rd(X2,X3)) = rd(rd(X3,X2),X1),
inference(spm,[status(thm)],[c_0_300,c_0_271]) ).
cnf(c_0_303,plain,
rd(rd(X1,asoc(X2,X3,X4)),X5) = rd(X1,mult(asoc(X2,X3,X4),X5)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_298]),c_0_295]),c_0_302]),c_0_299]) ).
cnf(c_0_304,plain,
mult(rd(X1,mult(asoc(X2,X3,X4),X5)),X5) = rd(X1,asoc(X2,X3,X4)),
inference(spm,[status(thm)],[c_0_266,c_0_303]) ).
cnf(c_0_305,plain,
rd(mult(X1,rd(X2,asoc(X3,X4,X5))),X2) = rd(X1,asoc(X3,X4,X5)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_280]),c_0_297]) ).
cnf(c_0_306,plain,
mult(rd(X1,X2),rd(X2,asoc(X3,X4,X5))) = rd(X1,asoc(X3,X4,X5)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_280]),c_0_297]) ).
cnf(c_0_307,plain,
mult(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_284,c_0_266]) ).
cnf(c_0_308,plain,
mult(rd(X1,asoc(X2,X3,X4)),X5) = mult(X1,rd(X5,asoc(X2,X3,X4))),
inference(spm,[status(thm)],[c_0_266,c_0_305]) ).
cnf(c_0_309,plain,
mult(rd(X1,X2),rd(asoc(X3,X4,X5),X1)) = rd(asoc(X3,X4,X5),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_306]),c_0_271]),c_0_271]) ).
cnf(c_0_310,plain,
mult(rd(X1,X2),rd(X2,X1)) = unit,
inference(spm,[status(thm)],[c_0_266,c_0_271]) ).
cnf(c_0_311,plain,
mult(mult(X1,X2),rd(unit,X1)) = mult(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_277]),c_0_275]) ).
cnf(c_0_312,plain,
rd(mult(mult(X1,X2),X3),asoc(X1,X2,X3)) = mult(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_260,c_0_264]) ).
cnf(c_0_313,plain,
rd(mult(X1,X2),asoc(X3,X4,X5)) = mult(X1,rd(X2,asoc(X3,X4,X5))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_301]),c_0_308]) ).
cnf(c_0_314,plain,
mult(X1,rd(asoc(X2,X3,X4),mult(X1,X5))) = rd(asoc(X2,X3,X4),X5),
inference(spm,[status(thm)],[c_0_309,c_0_260]) ).
cnf(c_0_315,plain,
rd(asoc(X1,X2,X3),rd(X4,X5)) = mult(asoc(X1,X2,X3),rd(X5,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_310]),c_0_275]) ).
cnf(c_0_316,plain,
mult(X1,rd(mult(rd(unit,X1),X2),X1)) = mult(X2,rd(unit,X1)),
inference(spm,[status(thm)],[c_0_311,c_0_280]) ).
cnf(c_0_317,plain,
rd(X1,rd(unit,asoc(X2,X3,X4))) = mult(asoc(X2,X3,X4),X1),
inference(spm,[status(thm)],[c_0_291,c_0_292]) ).
cnf(c_0_318,plain,
mult(mult(X1,X2),rd(X3,asoc(X1,X2,X3))) = mult(X1,mult(X2,X3)),
inference(rw,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_319,plain,
rd(X1,rd(X2,asoc(X3,X4,X5))) = mult(asoc(X3,X4,X5),rd(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_303]),c_0_271]),c_0_296]) ).
cnf(c_0_320,plain,
mult(rd(X1,X2),mult(asoc(X3,X4,X5),X2)) = mult(asoc(X3,X4,X5),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_298]),c_0_315]),c_0_279]),c_0_315]),c_0_279]) ).
cnf(c_0_321,plain,
mult(asoc(X1,X2,X3),X4) = mult(X4,asoc(X1,X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_275]),c_0_317]),c_0_265]),c_0_275]) ).
cnf(c_0_322,plain,
rd(unit,rd(unit,X1)) = X1,
inference(spm,[status(thm)],[c_0_260,c_0_277]) ).
cnf(c_0_323,plain,
mult(asoc(X1,X2,X3),rd(mult(X1,mult(X2,X3)),X3)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_318]),c_0_319]) ).
cnf(c_0_324,plain,
mult(rd(X1,X2),mult(X2,asoc(X3,X4,X5))) = mult(asoc(X3,X4,X5),X1),
inference(spm,[status(thm)],[c_0_320,c_0_321]) ).
cnf(c_0_325,plain,
mult(asoc(X1,X2,X3),rd(X4,asoc(X1,X2,X3))) = X4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_295]),c_0_271]),c_0_322]) ).
cnf(c_0_326,plain,
mult(X1,asoc(rd(X1,X2),X2,asoc(X3,X4,X5))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_296]),c_0_325]),c_0_266]),c_0_321]) ).
cnf(c_0_327,plain,
asoc(rd(X1,X2),X2,asoc(X3,X4,X5)) = unit,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_326]),c_0_266]) ).
cnf(c_0_328,negated_conjecture,
asoc(a,b,asoc(c,d,e)) != unit,
i_0_37 ).
cnf(c_0_329,plain,
asoc(X1,X2,asoc(X3,X4,X5)) = unit,
inference(spm,[status(thm)],[c_0_327,c_0_260]) ).
cnf(c_0_330,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_328,c_0_329])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP727-1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % 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
% 0.14/0.32 % Computer : n028.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 19:03:45 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 153.64/77.66 % Version : CSE_E---1.7
% 153.64/77.66 % Problem : theBenchmark.p
% 153.64/77.66 % SZS status Unsatisfiable for theBenchmark.p
% 153.64/77.66 % SZS output start CNFRefutation
% See solution above
% 155.64/79.65 % Total time : 76.308s
%------------------------------------------------------------------------------