%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN572-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n016.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 05:39:40 PM UTC 2026
% Result : Unsatisfiable 145.74s 67.79s
% Output : CNFRefutation 146.55s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_42)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p12_16,negated_conjecture,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_16) ).
cnf(p2_17,negated_conjecture,
p2(f3(X1,f3(X2,X3)),f3(f3(X1,X2),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
cnf(p12_15,negated_conjecture,
p12(f10(f3(X1,X2)),f11(f10(X1),f10(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_15) ).
cnf(p4_19,negated_conjecture,
( p4(f11(X1,X2),f11(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_19) ).
cnf(p2_20,negated_conjecture,
( p2(f3(X1,X2),f3(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
cnf(p2_5,negated_conjecture,
p2(f3(X1,f5(f7(f8(c13)))),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_11,negated_conjecture,
p2(f3(X1,f9(X1)),f5(f7(f8(c13)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
cnf(p12_18,negated_conjecture,
( p12(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p12(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_18) ).
cnf(p4_14,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_14) ).
cnf(p6_13,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_13) ).
cnf(p2_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p4_10,negated_conjecture,
( p4(f7(X1),f7(X2))
| ~ p6(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_10) ).
cnf(p4_9,negated_conjecture,
( p4(f10(X1),f10(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_9) ).
cnf(p6_6,negated_conjecture,
( p6(f8(X1),f8(X2))
| ~ p6(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_6) ).
cnf(p2_7,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
cnf(p2_8,negated_conjecture,
( p2(f9(X1),f9(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(p4_4,negated_conjecture,
p4(f10(f9(X1)),f10(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
cnf(p4_3,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_3) ).
cnf(p6_2,negated_conjecture,
p6(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_2) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(i_0_20,negated_conjecture,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
not_p12_16,
[final] ).
cnf(i_0_21,negated_conjecture,
p2(f3(X1,f3(X2,X3)),f3(f3(X1,X2),X3)),
p2_17,
[final] ).
cnf(i_0_22,negated_conjecture,
p12(f10(f3(X1,X2)),f11(f10(X1),f10(X2))),
p12_15,
[final] ).
cnf(i_0_23,negated_conjecture,
( p4(f11(X1,X2),f11(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
p4_19,
[final] ).
cnf(i_0_24,negated_conjecture,
( p2(f3(X1,X2),f3(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_20,
[final] ).
cnf(i_0_25,negated_conjecture,
p2(f3(X1,f5(f7(f8(c13)))),X1),
p2_5,
[final] ).
cnf(i_0_26,negated_conjecture,
p2(f3(X1,f9(X1)),f5(f7(f8(c13)))),
p2_11,
[final] ).
cnf(i_0_27,negated_conjecture,
( p12(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p12(X3,X4) ),
p12_18,
[final] ).
cnf(i_0_28,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_14,
[final] ).
cnf(i_0_29,negated_conjecture,
( p6(X1,X2)
| ~ p6(X3,X1)
| ~ p6(X3,X2) ),
p6_13,
[final] ).
cnf(i_0_30,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_12,
[final] ).
cnf(i_0_31,negated_conjecture,
( p4(f7(X1),f7(X2))
| ~ p6(X1,X2) ),
p4_10,
[final] ).
cnf(i_0_32,negated_conjecture,
( p4(f10(X1),f10(X2))
| ~ p2(X1,X2) ),
p4_9,
[final] ).
cnf(i_0_33,negated_conjecture,
( p6(f8(X1),f8(X2))
| ~ p6(X1,X2) ),
p6_6,
[final] ).
cnf(i_0_34,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p4(X1,X2) ),
p2_7,
[final] ).
cnf(i_0_35,negated_conjecture,
( p2(f9(X1),f9(X2))
| ~ p2(X1,X2) ),
p2_8,
[final] ).
cnf(i_0_36,negated_conjecture,
p4(f10(f9(X1)),f10(X1)),
p4_4,
[final] ).
cnf(i_0_37,negated_conjecture,
p4(X1,X1),
p4_3,
[final] ).
cnf(i_0_38,negated_conjecture,
p6(X1,X1),
p6_2,
[final] ).
cnf(i_0_39,negated_conjecture,
p2(X1,X1),
p2_1,
[final] ).
cnf(i_0_565,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_567,plain,
p2(f3(X1,f3(X2,f9(X2))),f3(X1,f5(f7(f8(c13))))),
inference(scs_inference,[],[i_0_26,i_0_39,i_0_24]) ).
cnf(i_0_625,plain,
p4(f11(X1,f10(f9(X2))),f11(X1,f10(X2))),
inference(scs_inference,[],[i_0_36,i_0_37,i_0_23]) ).
cnf(i_0_628,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_642,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_651,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_653,plain,
p4(f11(f10(f9(X1)),X2),f11(f10(X1),X2)),
inference(scs_inference,[],[i_0_36,i_0_37,i_0_23]) ).
cnf(i_0_658,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_664,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_665,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_674,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_681,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_687,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_708,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_723,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_738,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_745,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_766,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_781,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_782,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_916,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_980,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_1007,plain,
p4(f10(f9(X1)),f10(X1)),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_1011,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_1018,plain,
p12(f10(f3(X1,X2)),f11(f10(X1),f10(X2))),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_1034,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_1043,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_1055,plain,
p12(f10(f3(X1,X2)),f11(f10(X1),f10(X2))),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_1064,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_1077,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_1114,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_1118,plain,
p4(X1,X1),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_1158,plain,
p12(f10(f3(X1,X2)),f11(f10(X1),f10(X2))),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_46,plain,
~ p4(f10(c14),f10(f3(f3(c14,c15),c15))),
inference(scs_inference,[],[i_0_20,i_0_37,i_0_42,i_0_22,i_0_27,i_0_32,i_0_28]) ).
cnf(i_0_49,plain,
~ p2(c14,f3(f3(c14,c15),c15)),
inference(scs_inference,[],[i_0_20,i_0_37,i_0_42,i_0_39,i_0_22,i_0_27,i_0_32,i_0_28,i_0_30]) ).
cnf(i_0_52,plain,
~ p4(f10(f9(c14)),f10(f3(f3(c14,c15),c15))),
inference(scs_inference,[],[i_0_40,i_0_36,i_0_28]) ).
cnf(i_0_247,plain,
p2(f5(f11(f10(f9(X1)),f10(f9(X1)))),f5(f11(f10(X1),f10(X1)))),
inference(scs_inference,[],[i_0_233,i_0_34]) ).
cnf(i_0_249,plain,
p2(f9(f5(f10(f9(X1)))),f9(f5(f10(X1)))),
inference(scs_inference,[],[i_0_227,i_0_233,i_0_34,i_0_35]) ).
cnf(i_0_251,plain,
p4(f10(f5(f10(f9(X1)))),f10(f5(f10(X1)))),
inference(scs_inference,[],[i_0_227,i_0_233,i_0_34,i_0_35,i_0_32]) ).
cnf(i_0_279,plain,
p2(f5(f10(f3(X1,f9(X1)))),f5(f10(f5(f7(f8(c13)))))),
inference(scs_inference,[],[i_0_231,i_0_34]) ).
cnf(i_0_289,plain,
p2(f9(f9(f3(X1,f9(X1)))),f9(f9(f5(f7(f8(c13)))))),
inference(scs_inference,[],[i_0_229,i_0_35]) ).
cnf(i_0_291,plain,
p4(f10(f9(f3(X1,f9(X1)))),f10(f9(f5(f7(f8(c13)))))),
inference(scs_inference,[],[i_0_229,i_0_35,i_0_32]) ).
cnf(i_0_312,plain,
p2(f5(f10(f3(X1,f3(X2,X3)))),f5(f10(f3(f3(X1,X2),X3)))),
inference(scs_inference,[],[i_0_302,i_0_34]) ).
cnf(i_0_314,plain,
p2(f9(f9(f3(X1,f3(X2,X3)))),f9(f9(f3(f3(X1,X2),X3)))),
inference(scs_inference,[],[i_0_300,i_0_302,i_0_34,i_0_35]) ).
cnf(i_0_316,plain,
p4(f10(f9(f3(X1,f3(X2,X3)))),f10(f9(f3(f3(X1,X2),X3)))),
inference(scs_inference,[],[i_0_300,i_0_302,i_0_34,i_0_35,i_0_32]) ).
cnf(i_0_318,plain,
p4(f11(f10(f3(X1,f3(X2,X3))),X4),f11(f10(f3(f3(X1,X2),X3)),X4)),
inference(scs_inference,[],[i_0_300,i_0_302,i_0_37,i_0_34,i_0_35,i_0_32,i_0_23]) ).
cnf(i_0_346,plain,
p2(f9(f9(f3(X1,f5(f7(f8(c13)))))),f9(f9(X1))),
inference(scs_inference,[],[i_0_332,i_0_35]) ).
cnf(i_0_348,plain,
p4(f10(f9(f3(X1,f5(f7(f8(c13)))))),f10(f9(X1))),
inference(scs_inference,[],[i_0_332,i_0_35,i_0_32]) ).
cnf(i_0_350,plain,
p4(f11(X1,f10(f3(X2,f5(f7(f8(c13)))))),f11(X1,f10(X2))),
inference(scs_inference,[],[i_0_332,i_0_334,i_0_37,i_0_35,i_0_32,i_0_23]) ).
cnf(i_0_352,plain,
p2(f3(f3(X1,f3(X2,X3)),f3(X4,f5(f7(f8(c13))))),f3(f3(f3(X1,X2),X3),X4)),
inference(scs_inference,[],[i_0_21,i_0_332,i_0_334,i_0_25,i_0_37,i_0_35,i_0_32,i_0_23,i_0_24]) ).
cnf(i_0_354,plain,
~ p4(f10(f3(f3(f3(c14,c15),c15),f5(f7(f8(c13))))),f10(c14)),
inference(scs_inference,[],[i_0_21,i_0_332,i_0_334,i_0_40,i_0_25,i_0_37,i_0_35,i_0_32,i_0_23,i_0_24,i_0_28]) ).
cnf(i_0_355,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_358,plain,
p2(f9(f3(X1,f5(f7(f8(c13))))),f9(X1)),
inference(rename_variables,[],[i_0_332]) ).
cnf(i_0_361,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_378,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_381,plain,
p2(f9(f3(X1,f5(f7(f8(c13))))),f9(X1)),
inference(rename_variables,[],[i_0_332]) ).
cnf(i_0_398,plain,
p2(f9(f3(X1,f3(X2,f3(X3,X4)))),f9(f3(X1,f3(f3(X2,X3),X4)))),
inference(scs_inference,[],[i_0_389,i_0_35]) ).
cnf(i_0_400,plain,
p4(f10(f3(X1,f3(X2,f3(X3,X4)))),f10(f3(X1,f3(f3(X2,X3),X4)))),
inference(scs_inference,[],[i_0_389,i_0_35,i_0_32]) ).
cnf(i_0_403,plain,
p4(f10(f3(X1,f3(X2,X3))),f10(f3(f3(X1,X2),X3))),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_409,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_415,plain,
p4(f10(f3(X1,f3(X2,X3))),f10(f3(f3(X1,X2),X3))),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_423,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_432,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_435,plain,
p2(f9(f3(X1,f5(f7(f8(c13))))),f9(X1)),
inference(rename_variables,[],[i_0_332]) ).
cnf(i_0_438,plain,
p4(f10(f3(X1,f3(X2,X3))),f10(f3(f3(X1,X2),X3))),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_444,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_449,plain,
p2(f3(f3(f3(X1,f3(X2,X3)),X4),X5),f3(f3(f3(f3(X1,X2),X3),X4),X5)),
inference(scs_inference,[],[i_0_375,i_0_39,i_0_24]) ).
cnf(i_0_452,plain,
p4(f10(f3(X1,f3(X2,X3))),f10(f3(f3(X1,X2),X3))),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_460,plain,
~ p4(f10(f3(c14,f3(c15,c15))),f10(c14)),
inference(scs_inference,[],[i_0_40,i_0_302,i_0_28]) ).
cnf(i_0_461,plain,
p4(f10(f3(X1,f3(X2,X3))),f10(f3(f3(X1,X2),X3))),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_469,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_472,plain,
p2(f9(f3(X1,f3(X2,X3))),f9(f3(f3(X1,X2),X3))),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_478,plain,
p4(f10(f3(X1,f3(X2,X3))),f10(f3(f3(X1,X2),X3))),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_481,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_484,plain,
p2(f9(f3(X1,f3(X2,X3))),f9(f3(f3(X1,X2),X3))),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_487,plain,
p4(f10(f3(X1,f3(X2,X3))),f10(f3(f3(X1,X2),X3))),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_490,plain,
p2(f9(f3(X1,f5(f7(f8(c13))))),f9(X1)),
inference(rename_variables,[],[i_0_332]) ).
cnf(i_0_495,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_498,plain,
p2(f9(f3(X1,f3(X2,X3))),f9(f3(f3(X1,X2),X3))),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_501,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_504,plain,
p2(f9(f3(X1,f5(f7(f8(c13))))),f9(X1)),
inference(rename_variables,[],[i_0_332]) ).
cnf(i_0_507,plain,
p2(f9(f3(X1,f5(f7(f8(c13))))),f9(X1)),
inference(rename_variables,[],[i_0_332]) ).
cnf(i_0_521,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_538,plain,
p2(f9(f3(f3(X1,f5(f7(f8(c13)))),X2)),f9(f3(X1,X2))),
inference(scs_inference,[],[i_0_533,i_0_35]) ).
cnf(i_0_540,plain,
p4(f10(f3(f3(X1,f5(f7(f8(c13)))),X2)),f10(f3(X1,X2))),
inference(scs_inference,[],[i_0_533,i_0_35,i_0_32]) ).
cnf(i_0_543,plain,
p2(f3(X1,f3(X2,f5(f7(f8(c13))))),f3(X1,X2)),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_552,plain,
p2(f3(f3(X1,f3(X2,X3)),X4),f3(f3(f3(X1,X2),X3),X4)),
inference(rename_variables,[],[i_0_375]) ).
cnf(i_0_571,plain,
p2(f9(f3(X1,f3(X2,f9(X2)))),f9(f3(X1,f5(f7(f8(c13)))))),
inference(scs_inference,[],[i_0_567,i_0_35]) ).
cnf(i_0_573,plain,
p4(f10(f3(X1,f3(X2,f9(X2)))),f10(f3(X1,f5(f7(f8(c13)))))),
inference(scs_inference,[],[i_0_567,i_0_35,i_0_32]) ).
cnf(i_0_575,plain,
p2(f3(f3(X1,f9(X1)),X2),f3(f5(f7(f8(c13))),X2)),
inference(scs_inference,[],[i_0_26,i_0_567,i_0_39,i_0_35,i_0_32,i_0_24]) ).
cnf(i_0_578,plain,
p2(f3(X1,f3(X2,f9(X2))),f3(X1,f5(f7(f8(c13))))),
inference(rename_variables,[],[i_0_567]) ).
cnf(i_0_607,plain,
p4(f10(f3(X1,f5(f7(f8(c13))))),f10(X1)),
inference(rename_variables,[],[i_0_334]) ).
cnf(i_0_610,plain,
p2(f3(X1,f3(X2,f5(f7(f8(c13))))),f3(X1,X2)),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_619,plain,
p2(f3(X1,f3(X2,f5(f7(f8(c13))))),f3(X1,X2)),
inference(rename_variables,[],[i_0_523]) ).
cnf(i_0_631,plain,
p2(f3(f3(X1,f5(f7(f8(c13)))),X2),f3(X1,X2)),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_635,plain,
p2(f5(f11(X1,f10(f9(X2)))),f5(f11(X1,f10(X2)))),
inference(scs_inference,[],[i_0_625,i_0_34]) ).
cnf(i_0_637,plain,
p4(f10(f5(f11(X1,f10(f9(X2))))),f10(f5(f11(X1,f10(X2))))),
inference(scs_inference,[],[i_0_625,i_0_34,i_0_32]) ).
cnf(i_0_639,plain,
p4(f11(f11(X1,f10(f9(X2))),f11(X1,f10(f9(X2)))),f11(f11(X1,f10(X2)),f11(X1,f10(X2)))),
inference(scs_inference,[],[i_0_625,i_0_34,i_0_32,i_0_23]) ).
cnf(c_0_636,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
i_0_30 ).
cnf(c_0_637,negated_conjecture,
p2(X1,X1),
i_0_39 ).
cnf(c_0_638,negated_conjecture,
p2(f3(X1,f5(f7(f8(c13)))),X1),
i_0_25 ).
cnf(c_0_639,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_636,c_0_637]) ).
cnf(c_0_640,plain,
p2(f3(X1,f3(X2,f9(X2))),f3(X1,f5(f7(f8(c13))))),
i_0_567 ).
cnf(c_0_641,negated_conjecture,
( p12(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p12(X3,X4) ),
i_0_27 ).
cnf(c_0_642,plain,
p4(f11(X1,f10(f9(X2))),f11(X1,f10(X2))),
i_0_625 ).
cnf(c_0_643,negated_conjecture,
( p2(X1,X2)
| ~ p2(f3(X2,f5(f7(f8(c13)))),X1) ),
inference(spm,[status(thm)],[c_0_636,c_0_638]) ).
cnf(c_0_644,negated_conjecture,
p2(f3(X1,f5(f7(f8(c13)))),f3(X1,f3(X2,f9(X2)))),
inference(spm,[status(thm)],[c_0_639,c_0_640]) ).
cnf(c_0_645,plain,
( p12(X1,f11(X2,f10(X3)))
| ~ p4(X4,X1)
| ~ p12(X4,f11(X2,f10(f9(X3)))) ),
inference(spm,[status(thm)],[c_0_641,c_0_642]) ).
cnf(c_0_646,negated_conjecture,
p12(f10(f3(X1,X2)),f11(f10(X1),f10(X2))),
i_0_22 ).
cnf(c_0_647,negated_conjecture,
p2(f3(X1,f3(X2,f9(X2))),X1),
inference(spm,[status(thm)],[c_0_643,c_0_644]) ).
cnf(c_0_648,negated_conjecture,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
i_0_20 ).
cnf(c_0_649,negated_conjecture,
( p12(X1,f11(f10(X2),f10(X3)))
| ~ p4(f10(f3(X2,f9(X3))),X1) ),
inference(spm,[status(thm)],[c_0_645,c_0_646]) ).
cnf(c_0_650,negated_conjecture,
( p2(X1,X2)
| ~ p2(f3(X2,f3(X3,f9(X3))),X1) ),
inference(spm,[status(thm)],[c_0_636,c_0_647]) ).
cnf(c_0_651,negated_conjecture,
p2(f3(X1,f3(X2,X3)),f3(f3(X1,X2),X3)),
i_0_21 ).
cnf(c_0_652,negated_conjecture,
~ p4(f10(f3(f3(c14,c15),f9(c15))),f10(c14)),
inference(spm,[status(thm)],[c_0_648,c_0_649]) ).
cnf(c_0_653,negated_conjecture,
( p4(f10(X1),f10(X2))
| ~ p2(X1,X2) ),
i_0_32 ).
cnf(c_0_654,negated_conjecture,
p2(f3(f3(X1,X2),f9(X2)),X1),
inference(spm,[status(thm)],[c_0_650,c_0_651]) ).
cnf(c_0_655,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_652,c_0_653]),c_0_654])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN572-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n016.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 08:40:21 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 145.74/67.79 % Version : CSE_E---1.7
% 145.74/67.79 % Problem : theBenchmark.p
% 145.74/67.79 % SZS status Unsatisfiable for theBenchmark.p
% 145.74/67.79 % SZS output start CNFRefutation
% See solution above
% 146.55/68.53 % Total time : 65.046s
%------------------------------------------------------------------------------