%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP727-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:35:18 PM UTC 2026
% Result : Unsatisfiable 164.85s 26.87s
% Output : CNFRefutation 164.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 14
% Syntax : Number of formulae : 141 ( 141 unt; 2 def)
% Number of atoms : 319 ( 140 equ)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 223 ( 0 sgn 223 !; 0 ?; 193 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0] : mult(X0,i(X0)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f4,plain,
! [X0] : unit = mult(X0,i(X0)),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f6,plain,
! [X0] : unit = mult(i(X0),X0),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] : i(mult(X0,X1)) = mult(i(X0),i(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f8,axiom,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f9,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f10,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f11,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X1,X0)),X2) = mult(X0,mult(X1,mult(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
fof(f12,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
fof(f22,axiom,
! [X2,X3,X0,X1,X4] : asoc(asoc(X0,X1,X2),X3,X4) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c20) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] : unit = asoc(asoc(X0,X1,X2),X3,X4),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
asoc(a,b,asoc(c,d,e)) != unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f25,plain,
unit != asoc(a,b,asoc(c,d,e)),
inference(reorient_equations,[],[f24]) ).
tcf(c_70,plain,
! [X0: $i] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_71,plain,
! [X0: $i] : mult(X0,unit) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_72,plain,
! [X0: $i] : mult(X0,i(X0)) = unit,
inference(cnf_transformation,[],[f4]) ).
tcf(c_73,plain,
! [X0: $i] : mult(i(X0),X0) = unit,
inference(cnf_transformation,[],[f6]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : mult(i(X0),i(X1)) = i(mult(X0,X1)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : mult(i(X0),mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f8]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f9]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,X0)),X2) = mult(X0,mult(X1,mult(X0,X2))),
inference(cnf_transformation,[],[f11]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)) = mult(mult(X0,X1),X2),
inference(cnf_transformation,[],[f12]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : asoc(asoc(X0,X1,X2),X3,X4) = unit,
inference(cnf_transformation,[],[f23]) ).
tcf(c_87,negated_conjecture,
asoc(a,b,asoc(c,d,e)) != unit,
inference(cnf_transformation,[],[f25]) ).
tcf(c_146,definition,
iPr_def_10 = asoc(c,d,e),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_147,definition,
iPr_def_11 = asoc(a,b,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_148,negated_conjecture,
iPr_def_11 != unit,
inference(demodulation,[status(thm)],[c_87,c_146,c_147]) ).
tcf(c_234,plain,
i(unit) = unit,
inference(superposition,[status(thm)],[c_70,c_72]) ).
tcf(c_251,plain,
! [X0: $i] : rd(X0,X0) = unit,
inference(superposition,[status(thm)],[c_70,c_76]) ).
tcf(c_253,plain,
! [X0: $i] : rd(unit,i(X0)) = X0,
inference(superposition,[status(thm)],[c_72,c_76]) ).
tcf(c_254,plain,
! [X0: $i] : rd(unit,X0) = i(X0),
inference(superposition,[status(thm)],[c_73,c_76]) ).
tcf(c_296,plain,
! [X0: $i] : i(i(X0)) = X0,
inference(superposition,[status(thm)],[c_254,c_253]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i] : i(mult(X0,i(X1))) = mult(i(X0),X1),
inference(superposition,[status(thm)],[c_296,c_74]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i] : mult(X0,mult(i(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_296,c_75]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i] : mult(i(rd(X0,X1)),X0) = X1,
inference(superposition,[status(thm)],[c_77,c_75]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i] : rd(X0,mult(X1,X0)) = i(X1),
inference(superposition,[status(thm)],[c_75,c_76]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i] : mult(X0,i(mult(X0,X1))) = i(X1),
inference(superposition,[status(thm)],[c_74,c_337]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] : rd(X0,mult(i(X1),X0)) = X1,
inference(superposition,[status(thm)],[c_337,c_76]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,mult(rd(X1,X0),mult(X0,X2))) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_77,c_78]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X1,mult(X0,i(mult(X0,mult(X1,X0)))))) = unit,
inference(superposition,[status(thm)],[c_78,c_72]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(X0,mult(X1,mult(X2,mult(X1,X0)))),X3) = mult(X0,mult(mult(X1,mult(X2,X1)),mult(X0,X3))),
inference(superposition,[status(thm)],[c_78,c_78]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(X0,mult(X1,mult(X2,mult(X1,X0)))),X3) = mult(X0,mult(X1,mult(X2,mult(X1,mult(X0,X3))))),
inference(demodulation,[status(thm)],[c_436,c_78]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i] : i(rd(X0,X1)) = rd(X1,X0),
inference(superposition,[status(thm)],[c_344,c_76]) ).
tcf(c_473,plain,
! [X0: $i,X1: $i] : i(mult(rd(i(X0),X1),X0)) = X1,
inference(superposition,[status(thm)],[c_344,c_74]) ).
tcf(c_499,plain,
! [X0: $i,X1: $i] : rd(i(X0),i(mult(X1,X0))) = i(i(X1)),
inference(superposition,[status(thm)],[c_74,c_346]) ).
tcf(c_507,plain,
! [X0: $i,X1: $i] : rd(i(X0),i(mult(X1,X0))) = X1,
inference(demodulation,[status(thm)],[c_499,c_296]) ).
tcf(c_563,plain,
! [X0: $i,X1: $i,X2: $i] : mult(rd(X0,X1),mult(rd(X1,X0),X2)) = X2,
inference(superposition,[status(thm)],[c_472,c_337]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i] : asoc(iPr_def_10,X0,X1) = unit,
inference(superposition,[status(thm)],[c_146,c_86]) ).
tcf(c_581,plain,
! [X0: $i,X1: $i] : asoc(iPr_def_11,X0,X1) = unit,
inference(superposition,[status(thm)],[c_147,c_86]) ).
tcf(c_655,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,asoc(rd(X0,mult(X1,X2)),X1,X2)) = mult(mult(rd(X0,mult(X1,X2)),X1),X2),
inference(superposition,[status(thm)],[c_77,c_79]) ).
tcf(c_672,plain,
! [X0: $i,X1: $i] : mult(mult(iPr_def_10,mult(X0,X1)),unit) = mult(mult(iPr_def_10,X0),X1),
inference(superposition,[status(thm)],[c_580,c_79]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i] : mult(mult(iPr_def_11,mult(X0,X1)),unit) = mult(mult(iPr_def_11,X0),X1),
inference(superposition,[status(thm)],[c_581,c_79]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(mult(X0,mult(mult(X1,X2),X3)),asoc(X0,mult(X1,mult(X2,X3)),asoc(X1,X2,X3))) = mult(mult(X0,mult(X1,mult(X2,X3))),asoc(X1,X2,X3)),
inference(superposition,[status(thm)],[c_79,c_79]) ).
tcf(c_680,plain,
! [X0: $i,X1: $i] : mult(mult(iPr_def_11,X0),X1) = mult(iPr_def_11,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_673,c_71]) ).
tcf(c_681,plain,
! [X0: $i,X1: $i] : mult(mult(iPr_def_10,X0),X1) = mult(iPr_def_10,mult(X0,X1)),
inference(demodulation,[status(thm)],[c_672,c_71]) ).
tcf(c_736,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(X0,mult(X1,X2)),i(mult(mult(X0,X1),X2))) = i(asoc(X0,X1,X2)),
inference(superposition,[status(thm)],[c_79,c_367]) ).
tcf(c_805,plain,
! [X0: $i,X1: $i] : mult(rd(i(X0),X1),X0) = i(X1),
inference(superposition,[status(thm)],[c_473,c_296]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i] : rd(X0,i(mult(X1,i(X0)))) = X1,
inference(superposition,[status(thm)],[c_296,c_507]) ).
tcf(c_856,plain,
! [X0: $i,X1: $i] : rd(i(X0),i(X1)) = rd(X1,X0),
inference(superposition,[status(thm)],[c_77,c_507]) ).
tcf(c_5354,plain,
! [X0: $i] : mult(iPr_def_11,mult(X0,i(mult(iPr_def_11,X0)))) = unit,
inference(superposition,[status(thm)],[c_680,c_72]) ).
tcf(c_5580,plain,
! [X0: $i] : rd(unit,mult(X0,i(mult(iPr_def_11,X0)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_5354,c_76]) ).
tcf(c_5604,plain,
! [X0: $i] : mult(i(X0),mult(iPr_def_11,X0)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_5580,c_254,c_308]) ).
tcf(c_5654,plain,
! [X0: $i] : mult(X0,mult(iPr_def_11,i(X0))) = iPr_def_11,
inference(superposition,[status(thm)],[c_296,c_5604]) ).
tcf(c_5696,plain,
! [X0: $i] : mult(X0,iPr_def_11) = mult(iPr_def_11,X0),
inference(superposition,[status(thm)],[c_5604,c_337]) ).
tcf(c_5697,plain,
! [X0: $i] : rd(mult(iPr_def_11,X0),iPr_def_11) = X0,
inference(superposition,[status(thm)],[c_5604,c_372]) ).
tcf(c_6249,plain,
! [X0: $i] : mult(iPr_def_11,rd(X0,iPr_def_11)) = X0,
inference(superposition,[status(thm)],[c_5696,c_77]) ).
tcf(c_6292,plain,
! [X0: $i] : rd(mult(X0,iPr_def_11),X0) = iPr_def_11,
inference(superposition,[status(thm)],[c_5696,c_76]) ).
tcf(c_6623,plain,
! [X0: $i] : mult(i(iPr_def_11),X0) = rd(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_337,c_5697]) ).
tcf(c_6655,plain,
! [X0: $i] : mult(iPr_def_11,i(X0)) = i(rd(X0,iPr_def_11)),
inference(superposition,[status(thm)],[c_6249,c_367]) ).
tcf(c_6675,plain,
! [X0: $i,X1: $i] : mult(iPr_def_11,mult(rd(X0,iPr_def_11),X1)) = mult(X0,X1),
inference(superposition,[status(thm)],[c_6249,c_680]) ).
tcf(c_6676,plain,
! [X0: $i] : mult(iPr_def_11,i(X0)) = rd(iPr_def_11,X0),
inference(demodulation,[status(thm)],[c_6655,c_472]) ).
tcf(c_6706,plain,
! [X0: $i] : rd(i(X0),rd(i(iPr_def_11),X0)) = iPr_def_11,
inference(superposition,[status(thm)],[c_805,c_6292]) ).
tcf(c_6877,plain,
! [X0: $i] : mult(X0,rd(iPr_def_11,X0)) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_5654,c_6676]) ).
tcf(c_6884,plain,
! [X0: $i] : mult(mult(X0,iPr_def_11),i(X0)) = iPr_def_11,
inference(superposition,[status(thm)],[c_346,c_6877]) ).
tcf(c_9702,plain,
! [X0: $i] : rd(X0,i(iPr_def_11)) = mult(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_6884,c_848]) ).
tcf(c_10735,plain,
! [X0: $i] : i(mult(X0,iPr_def_11)) = rd(i(iPr_def_11),X0),
inference(superposition,[status(thm)],[c_9702,c_472]) ).
tcf(c_11547,plain,
! [X0: $i,X1: $i] : mult(mult(iPr_def_11,X0),rd(X1,iPr_def_11)) = mult(iPr_def_11,mult(rd(X0,iPr_def_11),X1)),
inference(superposition,[status(thm)],[c_6249,c_429]) ).
tcf(c_11618,plain,
! [X0: $i,X1: $i] : mult(iPr_def_11,mult(rd(X0,iPr_def_11),X1)) = mult(iPr_def_11,mult(X0,rd(X1,iPr_def_11))),
inference(demodulation,[status(thm)],[c_11547,c_680]) ).
tcf(c_11619,plain,
! [X0: $i,X1: $i] : mult(iPr_def_11,mult(X0,rd(X1,iPr_def_11))) = mult(X0,X1),
inference(light_normalisation,[status(thm)],[c_11618,c_6675]) ).
tcf(c_12602,plain,
! [X0: $i] : rd(i(X0),i(mult(X0,iPr_def_11))) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_6706,c_10735]) ).
tcf(c_17894,plain,
! [X0: $i] : mult(iPr_def_10,mult(X0,i(mult(iPr_def_10,X0)))) = unit,
inference(superposition,[status(thm)],[c_681,c_72]) ).
tcf(c_17975,plain,
! [X0: $i] : mult(iPr_def_10,mult(X0,iPr_def_11)) = mult(iPr_def_11,mult(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_681,c_5696]) ).
tcf(c_19001,plain,
! [X0: $i] : rd(unit,mult(X0,i(mult(iPr_def_10,X0)))) = iPr_def_10,
inference(superposition,[status(thm)],[c_17894,c_76]) ).
tcf(c_19039,plain,
! [X0: $i] : mult(i(X0),mult(iPr_def_10,X0)) = iPr_def_10,
inference(demodulation,[status(thm)],[c_19001,c_254,c_308]) ).
tcf(c_19120,plain,
! [X0: $i] : mult(X0,mult(iPr_def_10,i(X0))) = iPr_def_10,
inference(superposition,[status(thm)],[c_296,c_19039]) ).
tcf(c_19144,plain,
! [X0: $i] : mult(i(X0),i(iPr_def_10)) = i(mult(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_19039,c_367]) ).
tcf(c_19191,plain,
! [X0: $i] : mult(X0,iPr_def_10) = mult(iPr_def_10,X0),
inference(superposition,[status(thm)],[c_19039,c_337]) ).
tcf(c_19198,plain,
! [X0: $i] : i(mult(X0,iPr_def_10)) = i(mult(iPr_def_10,X0)),
inference(demodulation,[status(thm)],[c_19144,c_74]) ).
tcf(c_19827,plain,
! [X0: $i] : mult(iPr_def_10,rd(X0,iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_19191,c_77]) ).
tcf(c_19901,plain,
! [X0: $i] : mult(i(iPr_def_10),mult(X0,iPr_def_10)) = X0,
inference(superposition,[status(thm)],[c_19191,c_75]) ).
tcf(c_19928,plain,
! [X0: $i,X1: $i] : mult(mult(X0,iPr_def_10),X1) = mult(iPr_def_10,mult(X0,X1)),
inference(superposition,[status(thm)],[c_19191,c_681]) ).
tcf(c_20167,plain,
! [X0: $i] : mult(iPr_def_10,i(X0)) = i(rd(X0,iPr_def_10)),
inference(superposition,[status(thm)],[c_19827,c_367]) ).
tcf(c_20196,plain,
! [X0: $i] : mult(iPr_def_10,i(X0)) = rd(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_20167,c_472]) ).
tcf(c_21190,plain,
! [X0: $i] : mult(X0,rd(iPr_def_10,X0)) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_19120,c_20196]) ).
tcf(c_21201,plain,
! [X0: $i] : mult(mult(X0,iPr_def_10),i(X0)) = iPr_def_10,
inference(superposition,[status(thm)],[c_346,c_21190]) ).
tcf(c_21260,plain,
! [X0: $i] : rd(iPr_def_10,i(X0)) = mult(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_21190,c_337]) ).
tcf(c_21617,plain,
! [X0: $i] : mult(mult(X0,iPr_def_10),mult(i(iPr_def_10),mult(mult(X0,iPr_def_10),i(mult(mult(X0,iPr_def_10),X0))))) = unit,
inference(superposition,[status(thm)],[c_19901,c_433]) ).
tcf(c_21672,plain,
! [X0: $i] : mult(mult(X0,iPr_def_10),i(mult(iPr_def_10,X0))) = unit,
inference(demodulation,[status(thm)],[c_21617,c_74,c_367]) ).
tcf(c_22674,plain,
! [X0: $i] : i(mult(X0,iPr_def_10)) = rd(i(X0),iPr_def_10),
inference(superposition,[status(thm)],[c_21201,c_346]) ).
tcf(c_23377,plain,
! [X0: $i,X1: $i] : mult(rd(i(X0),iPr_def_10),mult(mult(X0,iPr_def_10),X1)) = X1,
inference(superposition,[status(thm)],[c_21260,c_563]) ).
tcf(c_23400,plain,
! [X0: $i,X1: $i] : mult(i(mult(X0,iPr_def_10)),mult(iPr_def_10,mult(X0,X1))) = X1,
inference(light_normalisation,[status(thm)],[c_23377,c_19928,c_22674]) ).
tcf(c_24764,plain,
! [X0: $i] : rd(i(mult(X0,iPr_def_10)),i(mult(mult(iPr_def_10,X0),iPr_def_11))) = iPr_def_11,
inference(superposition,[status(thm)],[c_19198,c_12602]) ).
tcf(c_24775,plain,
! [X0: $i,X1: $i] : rd(i(mult(X0,iPr_def_10)),i(X1)) = rd(X1,mult(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_19198,c_856]) ).
tcf(c_24786,plain,
! [X0: $i] : mult(i(mult(X0,iPr_def_10)),mult(iPr_def_10,X0)) = unit,
inference(superposition,[status(thm)],[c_19198,c_73]) ).
tcf(c_24837,plain,
! [X0: $i,X1: $i] : rd(X0,mult(X1,iPr_def_10)) = rd(X0,mult(iPr_def_10,X1)),
inference(demodulation,[status(thm)],[c_24775,c_856]) ).
tcf(c_24840,plain,
! [X0: $i] : rd(mult(iPr_def_10,mult(X0,iPr_def_11)),mult(X0,iPr_def_10)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_24764,c_681,c_856]) ).
tcf(c_26811,plain,
! [X0: $i,X1: $i] : mult(X0,asoc(rd(X0,X1),X1,unit)) = mult(mult(rd(X0,X1),X1),unit),
inference(superposition,[status(thm)],[c_71,c_655]) ).
tcf(c_26944,plain,
! [X0: $i,X1: $i] : mult(X0,asoc(rd(X0,X1),X1,unit)) = X0,
inference(demodulation,[status(thm)],[c_26811,c_71,c_77]) ).
tcf(c_30318,plain,
! [X0: $i] : mult(mult(X0,iPr_def_10),i(unit)) = i(i(mult(iPr_def_10,X0))),
inference(superposition,[status(thm)],[c_21672,c_367]) ).
tcf(c_30369,plain,
! [X0: $i] : mult(mult(X0,iPr_def_10),i(unit)) = mult(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_30318,c_296]) ).
tcf(c_30370,plain,
! [X0: $i] : mult(mult(X0,iPr_def_10),unit) = mult(iPr_def_10,X0),
inference(light_normalisation,[status(thm)],[c_30369,c_234]) ).
tcf(c_33788,plain,
! [X0: $i,X1: $i] : mult(X0,mult(iPr_def_10,mult(i(mult(X0,iPr_def_10)),mult(iPr_def_10,mult(X0,X1))))) = mult(mult(X0,mult(iPr_def_10,unit)),X1),
inference(superposition,[status(thm)],[c_24786,c_441]) ).
tcf(c_33833,plain,
! [X0: $i,X1: $i] : mult(X0,mult(iPr_def_10,mult(i(mult(X0,iPr_def_10)),mult(iPr_def_10,mult(X0,X1))))) = mult(mult(X0,iPr_def_10),X1),
inference(demodulation,[status(thm)],[c_33788,c_71]) ).
tcf(c_33834,plain,
! [X0: $i,X1: $i] : mult(X0,mult(iPr_def_10,X1)) = mult(iPr_def_10,mult(X0,X1)),
inference(light_normalisation,[status(thm)],[c_33833,c_19928,c_23400]) ).
tcf(c_35154,plain,
! [X0: $i,X1: $i] : asoc(rd(X0,X1),X1,unit) = mult(i(X0),X0),
inference(superposition,[status(thm)],[c_26944,c_75]) ).
tcf(c_35239,plain,
! [X0: $i,X1: $i] : asoc(rd(X0,X1),X1,unit) = unit,
inference(demodulation,[status(thm)],[c_35154,c_73]) ).
tcf(c_36350,plain,
! [X0: $i,X1: $i] : asoc(X0,X1,unit) = unit,
inference(superposition,[status(thm)],[c_76,c_35239]) ).
tcf(c_41274,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(iPr_def_10,X1)),asoc(X0,mult(X1,mult(iPr_def_10,unit)),asoc(X1,iPr_def_10,unit))) = mult(mult(X0,mult(X1,mult(iPr_def_10,unit))),asoc(X1,iPr_def_10,unit)),
inference(superposition,[status(thm)],[c_30370,c_679]) ).
tcf(c_41578,plain,
! [X0: $i,X1: $i] : mult(X0,mult(X1,iPr_def_10)) = mult(X0,mult(iPr_def_10,X1)),
inference(demodulation,[status(thm)],[c_41274,c_71,c_36350]) ).
tcf(c_76545,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(iPr_def_10,X1)),i(mult(mult(iPr_def_10,X0),X1))) = i(asoc(X0,iPr_def_10,X1)),
inference(superposition,[status(thm)],[c_19191,c_736]) ).
tcf(c_76652,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(iPr_def_10,X1)),i(mult(iPr_def_10,mult(X0,X1)))) = i(asoc(X0,iPr_def_10,X1)),
inference(demodulation,[status(thm)],[c_76545,c_681]) ).
tcf(c_174592,plain,
! [X0: $i] : rd(mult(iPr_def_10,X0),mult(X0,iPr_def_10)) = unit,
inference(superposition,[status(thm)],[c_24837,c_251]) ).
tcf(c_206772,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(iPr_def_10,X1)),i(mult(mult(iPr_def_10,X0),X1))) = i(asoc(iPr_def_10,X0,X1)),
inference(superposition,[status(thm)],[c_33834,c_736]) ).
tcf(c_207022,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(iPr_def_10,X1)),i(mult(iPr_def_10,mult(X0,X1)))) = i(unit),
inference(demodulation,[status(thm)],[c_206772,c_580,c_681]) ).
tcf(c_207023,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(iPr_def_10,X1)),i(mult(iPr_def_10,mult(X0,X1)))) = unit,
inference(light_normalisation,[status(thm)],[c_207022,c_234,c_76652]) ).
tcf(c_223233,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(iPr_def_10,X1)),i(mult(mult(X0,X1),iPr_def_10))) = i(asoc(X0,X1,iPr_def_10)),
inference(superposition,[status(thm)],[c_41578,c_736]) ).
tcf(c_223981,plain,
! [X0: $i,X1: $i] : mult(mult(X0,mult(iPr_def_10,X1)),i(mult(iPr_def_10,mult(X0,X1)))) = i(asoc(X0,X1,iPr_def_10)),
inference(demodulation,[status(thm)],[c_223233,c_19198]) ).
tcf(c_223982,plain,
! [X0: $i,X1: $i] : i(asoc(X0,X1,iPr_def_10)) = unit,
inference(light_normalisation,[status(thm)],[c_223981,c_207023]) ).
tcf(c_230247,plain,
i(iPr_def_11) = unit,
inference(superposition,[status(thm)],[c_147,c_223982]) ).
tcf(c_230562,plain,
! [X0: $i] : mult(unit,X0) = rd(X0,iPr_def_11),
inference(demodulation,[status(thm)],[c_6623,c_230247]) ).
tcf(c_230564,plain,
! [X0: $i] : rd(X0,iPr_def_11) = X0,
inference(demodulation,[status(thm)],[c_230562,c_70]) ).
tcf(c_230575,plain,
! [X0: $i,X1: $i] : mult(iPr_def_11,mult(X0,X1)) = mult(X0,X1),
inference(demodulation,[status(thm)],[c_11619,c_230564]) ).
tcf(c_230583,plain,
! [X0: $i] : mult(iPr_def_10,mult(X0,iPr_def_11)) = mult(iPr_def_10,X0),
inference(demodulation,[status(thm)],[c_17975,c_230575]) ).
tcf(c_230587,plain,
! [X0: $i] : rd(mult(iPr_def_10,X0),mult(X0,iPr_def_10)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_24840,c_230583]) ).
tcf(c_230589,plain,
unit = iPr_def_11,
inference(demodulation,[status(thm)],[c_174592,c_230587]) ).
tcf(c_230703,plain,
iPr_def_11 != iPr_def_11,
inference(demodulation,[status(thm)],[c_148,c_230589]) ).
tcf(c_230720,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_230703]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP727-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 15:51:48 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running UEQ theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 164.85/26.87 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 164.85/26.87 % SZS status Started for theBenchmark.p
% 164.85/26.87 % SZS status Unsatisfiable for theBenchmark.p
% 164.85/26.87
% 164.85/26.87 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 164.85/26.87
% 164.85/26.87 % ------ iProver source info
% 164.85/26.87
% 164.85/26.87 % git: date: 2026-07-19 20:42:38 +0200
% 164.85/26.87 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 164.85/26.87 % git: non_committed_changes: false
% 164.85/26.87
% 164.85/26.87 % ------ Parsing...% successful
% 164.85/26.87
% 164.85/26.87
% 164.85/26.87 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 164.85/26.87
% 164.85/26.87 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 164.85/26.87
% 164.85/26.87 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 164.85/26.87
% 164.85/26.87 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 164.85/26.87 % ------ Proving...
% 164.85/26.87 % ------ Problem Properties
% 164.85/26.87
% 164.85/26.87 %
% 164.85/26.87 % clauses 20
% 164.85/26.87 % conjectures 1
% 164.85/26.87 % EPR 1
% 164.85/26.87 % Horn 20
% 164.85/26.87 % unary 20
% 164.85/26.87 % binary 0
% 164.85/26.87 % lits 20
% 164.85/26.87 % lits eq 20
% 164.85/26.87 % fd_pure 0
% 164.85/26.87 % fd_pseudo 0
% 164.85/26.87 % fd_cond 0
% 164.85/26.87 % fd_pseudo_cond 0
% 164.85/26.87 % AC symbols 0
% 164.85/26.87
% 164.85/26.87 % ------ Input Options Time Limit: Unbounded
% 164.85/26.87
% 164.85/26.87
% 164.85/26.87 % ------
% 164.85/26.87 % Current options:
% 164.85/26.87 % ------
% 164.85/26.87
% 164.85/26.87
% 164.85/26.87 %
% 164.85/26.87
% 164.85/26.87 % ------ Proving...
% 164.85/26.87 %
% 164.85/26.87
% 164.85/26.87 % SZS status Unsatisfiable for theBenchmark.p
% 164.85/26.87
% 164.85/26.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 164.85/26.87
% 164.85/26.87
%------------------------------------------------------------------------------