%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HEN010-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 01:37:10 PM UTC 2026
% Result : Unsatisfiable 13.38s 2.16s
% Output : Proof 13.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 13
% Syntax : Number of formulae : 149 ( 133 unt; 0 def)
% Number of atoms : 173 ( 172 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 34 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 175 ( 44 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(t9,axiom,
sFlat0 = divide(identity,a),
introduced(definition) ).
cnf(t55,plain,
divide(identity,a) = sFlat0,
inference(orient,[status(thm)],[t9]) ).
cnf(t10,axiom,
sFlat1 = divide(identity,divide(identity,a)),
introduced(definition) ).
cnf(t48,plain,
divide(identity,divide(identity,a)) = sFlat1,
inference(orient,[status(thm)],[t10]) ).
cnf(t979,plain,
divide(identity,sFlat0) = sFlat1,
inference(step,[status(thm)],[t48,t55]) ).
cnf(t61,plain,
divide(identity,sFlat0) = sFlat1,
inference(rw,[status(thm)],[t979]) ).
cnf(t104,plain,
divide(identity,sFlat0) = sFlat1,
inference(orient,[status(thm)],[t61]) ).
cnf(t11,axiom,
sFlat2 = divide(divide(identity,a),divide(identity,divide(identity,a))),
introduced(definition) ).
cnf(t36,plain,
divide(divide(identity,a),divide(identity,divide(identity,a))) = sFlat2,
inference(orient,[status(thm)],[t11]) ).
cnf(t978,plain,
divide(divide(identity,a),sFlat1) = sFlat2,
inference(step,[status(thm)],[t36,t48]) ).
cnf(t54,plain,
divide(divide(identity,a),sFlat1) = sFlat2,
inference(rw,[status(thm)],[t978]) ).
cnf(t980,plain,
divide(sFlat0,sFlat1) = sFlat2,
inference(step,[status(thm)],[t54,t55]) ).
cnf(t118,plain,
divide(sFlat0,sFlat1) = sFlat2,
inference(orient,[status(thm)],[t980]) ).
cnf(f3,axiom,
( X = Y
| divide(Y,X) != zero
| divide(X,Y) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divide_and_equal) ).
fof(f3_nnf,plain,
! [X,Y] :
( X = Y
| divide(Y,X) != zero
| divide(X,Y) != zero ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( X = Y
| divide(Y,X) != zero
| divide(X,Y) != zero ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( X0 = X1
| divide(X1,X0) != zero
| divide(X0,X1) != zero ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t6,plain,
ifeq(divide(X1,X2),zero,ifeq(divide(X2,X1),zero,X1,X2),X2) = X2,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t13,plain,
ifeq(divide(X1,X2),zero,ifeq(divide(X2,X1),zero,X1,X2),X2) = X2,
inference(orient,[status(thm)],[t6]) ).
cnf(f6,axiom,
( divide(divide(X,Z),Y) = zero
| divide(divide(X,Y),Z) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f6_nnf,plain,
! [X,Y,Z] :
( divide(divide(X,Z),Y) = zero
| divide(divide(X,Y),Z) != zero ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y,Z] :
( divide(divide(X,Z),Y) = zero
| divide(divide(X,Y),Z) != zero ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( divide(divide(X0,X2),X1) = zero
| divide(divide(X0,X1),X2) != zero ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t7,plain,
ifeq(divide(divide(X1,X2),X3),zero,divide(divide(X1,X3),X2),zero) = zero,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t92,plain,
ifeq(divide(divide(X1,X2),X3),zero,divide(divide(X1,X3),X2),zero) = zero,
inference(orient,[status(thm)],[t7]) ).
cnf(f5,axiom,
( divide(X,Z) = zero
| divide(Y,Z) != zero
| divide(X,Y) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).
fof(f5_nnf,plain,
! [X,Y,Z] :
( divide(X,Z) = zero
| divide(Y,Z) != zero
| divide(X,Y) != zero ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y,Z] :
( divide(X,Z) = zero
| divide(Y,Z) != zero
| divide(X,Y) != zero ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( divide(X0,X2) = zero
| divide(X1,X2) != zero
| divide(X0,X1) != zero ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(t8,plain,
ifeq(divide(X1,X2),zero,ifeq(divide(X2,X3),zero,divide(X1,X3),zero),zero) = zero,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t76,plain,
ifeq(divide(X1,X2),zero,ifeq(divide(X2,X3),zero,divide(X1,X3),zero),zero) = zero,
inference(orient,[status(thm)],[t8]) ).
cnf(f7,axiom,
( divide(divide(X,Z),divide(Y,Z)) = zero
| divide(X,Y) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide3) ).
fof(f7_nnf,plain,
! [X,Y,Z] :
( divide(divide(X,Z),divide(Y,Z)) = zero
| divide(X,Y) != zero ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y,Z] :
( divide(divide(X,Z),divide(Y,Z)) = zero
| divide(X,Y) != zero ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( divide(divide(X0,X2),divide(X1,X2)) = zero
| divide(X0,X1) != zero ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t5,plain,
ifeq(divide(X1,X2),zero,divide(divide(X1,X3),divide(X2,X3)),zero) = zero,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t62,plain,
ifeq(divide(X1,X2),zero,divide(divide(X1,X3),divide(X2,X3)),zero) = zero,
inference(orient,[status(thm)],[t5]) ).
cnf(t72,plain,
zero = ifeq(divide(X1,identity),zero,divide(divide(X1,a),sFlat0),zero),
inference(cp,[status(thm)],[t62,t55]) ).
cnf(f4,axiom,
divide(X,identity) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_largest) ).
fof(f4_nnf,plain,
! [X] : divide(X,identity) = zero,
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] : divide(X,identity) = zero,
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
divide(X0,identity) = zero,
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t0,plain,
divide(X1,identity) = zero,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t14,plain,
divide(X1,identity) = zero,
inference(orient,[status(thm)],[t0]) ).
cnf(t985,plain,
zero = ifeq(zero,zero,divide(divide(X1,a),sFlat0),zero),
inference(step,[status(thm)],[t72,t14]) ).
cnf(t3,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t12,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t3]) ).
cnf(t986,plain,
zero = divide(divide(X1,a),sFlat0),
inference(step,[status(thm)],[t985,t12]) ).
cnf(t148,plain,
divide(divide(X1,a),sFlat0) = zero,
inference(orient,[status(thm)],[t986]) ).
cnf(t152,plain,
zero = ifeq(zero,zero,divide(divide(X1,sFlat0),a),zero),
inference(cp,[status(thm)],[t92,t148]) ).
cnf(t996,plain,
zero = divide(divide(X1,sFlat0),a),
inference(step,[status(thm)],[t152,t12]) ).
cnf(t223,plain,
divide(divide(X1,sFlat0),a) = zero,
inference(orient,[status(thm)],[t996]) ).
cnf(t224,plain,
zero = divide(sFlat1,a),
inference(cp,[status(thm)],[t223,t104]) ).
cnf(t238,plain,
divide(sFlat1,a) = zero,
inference(orient,[status(thm)],[t224]) ).
cnf(t244,plain,
zero = ifeq(divide(X1,sFlat1),zero,ifeq(zero,zero,divide(X1,a),zero),zero),
inference(cp,[status(thm)],[t76,t238]) ).
cnf(t1088,plain,
zero = ifeq(divide(X1,sFlat1),zero,divide(X1,a),zero),
inference(step,[status(thm)],[t244,t12]) ).
cnf(t924,plain,
ifeq(divide(X1,sFlat1),zero,divide(X1,a),zero) = zero,
inference(orient,[status(thm)],[t1088]) ).
cnf(f2,axiom,
divide(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f2_nnf,plain,
! [X] : divide(zero,X) = zero,
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] : divide(zero,X) = zero,
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
divide(zero,X0) = zero,
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t1,plain,
divide(zero,X1) = zero,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t44,plain,
divide(zero,X1) = zero,
inference(orient,[status(thm)],[t1]) ).
cnf(t46,plain,
zero = ifeq(divide(X1,zero),zero,ifeq(zero,zero,X1,zero),zero),
inference(cp,[status(thm)],[t13,t44]) ).
cnf(t1004,plain,
zero = ifeq(divide(X1,zero),zero,X1,zero),
inference(step,[status(thm)],[t46,t12]) ).
cnf(t292,plain,
ifeq(divide(X1,zero),zero,X1,zero) = zero,
inference(orient,[status(thm)],[t1004]) ).
cnf(f1,axiom,
divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f1_nnf,plain,
! [X,Z,Y] : divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero,
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Z,Y] : divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero,
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t4,plain,
divide(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)) = zero,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t22,plain,
divide(divide(divide(X1,X2),divide(X3,X2)),divide(divide(X1,X3),X2)) = zero,
inference(orient,[status(thm)],[t4]) ).
cnf(t114,plain,
zero = ifeq(divide(X1,identity),zero,divide(divide(X1,sFlat0),sFlat1),zero),
inference(cp,[status(thm)],[t62,t104]) ).
cnf(t992,plain,
zero = ifeq(zero,zero,divide(divide(X1,sFlat0),sFlat1),zero),
inference(step,[status(thm)],[t114,t14]) ).
cnf(t993,plain,
zero = divide(divide(X1,sFlat0),sFlat1),
inference(step,[status(thm)],[t992,t12]) ).
cnf(t185,plain,
divide(divide(X1,sFlat0),sFlat1) = zero,
inference(orient,[status(thm)],[t993]) ).
cnf(t200,plain,
zero = divide(divide(divide(X1,sFlat1),divide(sFlat0,sFlat1)),zero),
inference(cp,[status(thm)],[t22,t185]) ).
cnf(t1020,plain,
zero = divide(divide(divide(X1,sFlat1),sFlat2),zero),
inference(step,[status(thm)],[t200,t118]) ).
cnf(t381,plain,
divide(divide(divide(X1,sFlat1),sFlat2),zero) = zero,
inference(orient,[status(thm)],[t1020]) ).
cnf(t382,plain,
zero = ifeq(zero,zero,divide(divide(X1,sFlat1),sFlat2),zero),
inference(cp,[status(thm)],[t292,t381]) ).
cnf(t1022,plain,
zero = divide(divide(X1,sFlat1),sFlat2),
inference(step,[status(thm)],[t382,t12]) ).
cnf(t398,plain,
divide(divide(X1,sFlat1),sFlat2) = zero,
inference(orient,[status(thm)],[t1022]) ).
cnf(t401,plain,
zero = ifeq(zero,zero,divide(divide(X1,sFlat2),sFlat1),zero),
inference(cp,[status(thm)],[t92,t398]) ).
cnf(t1023,plain,
zero = divide(divide(X1,sFlat2),sFlat1),
inference(step,[status(thm)],[t401,t12]) ).
cnf(t410,plain,
divide(divide(X1,sFlat2),sFlat1) = zero,
inference(orient,[status(thm)],[t1023]) ).
cnf(t928,plain,
zero = ifeq(zero,zero,divide(divide(X1,sFlat2),a),zero),
inference(cp,[status(thm)],[t924,t410]) ).
cnf(t1089,plain,
zero = divide(divide(X1,sFlat2),a),
inference(step,[status(thm)],[t928,t12]) ).
cnf(t932,plain,
divide(divide(X1,sFlat2),a) = zero,
inference(orient,[status(thm)],[t1089]) ).
cnf(t936,plain,
zero = ifeq(zero,zero,divide(divide(X1,a),sFlat2),zero),
inference(cp,[status(thm)],[t92,t932]) ).
cnf(t1091,plain,
zero = divide(divide(X1,a),sFlat2),
inference(step,[status(thm)],[t936,t12]) ).
cnf(t946,plain,
divide(divide(X1,a),sFlat2) = zero,
inference(orient,[status(thm)],[t1091]) ).
cnf(t236,plain,
zero = divide(divide(divide(X1,a),divide(sFlat0,a)),zero),
inference(cp,[status(thm)],[t22,t223]) ).
cnf(t45,plain,
X1 = ifeq(zero,zero,ifeq(divide(X1,zero),zero,zero,X1),X1),
inference(cp,[status(thm)],[t13,t44]) ).
cnf(t1002,plain,
X1 = ifeq(divide(X1,zero),zero,zero,X1),
inference(step,[status(thm)],[t45,t12]) ).
cnf(t280,plain,
ifeq(divide(X1,zero),zero,zero,X1) = X1,
inference(orient,[status(thm)],[t1002]) ).
cnf(f0,axiom,
divide(divide(X,Y),X) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f0_nnf,plain,
! [X,Y] : divide(divide(X,Y),X) = zero,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] : divide(divide(X,Y),X) = zero,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
divide(divide(X0,X1),X0) = zero,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t2,plain,
divide(divide(X1,X2),X1) = zero,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t17,plain,
divide(divide(X1,X2),X1) = zero,
inference(orient,[status(thm)],[t2]) ).
cnf(t93,plain,
zero = ifeq(zero,zero,divide(divide(X1,X1),X2),zero),
inference(cp,[status(thm)],[t92,t17]) ).
cnf(t987,plain,
zero = divide(divide(X1,X1),X2),
inference(step,[status(thm)],[t93,t12]) ).
cnf(t174,plain,
divide(divide(X1,X1),X2) = zero,
inference(orient,[status(thm)],[t987]) ).
cnf(t281,plain,
divide(X1,X1) = ifeq(zero,zero,zero,divide(X1,X1)),
inference(cp,[status(thm)],[t280,t174]) ).
cnf(t1003,plain,
divide(X1,X1) = zero,
inference(step,[status(thm)],[t281,t12]) ).
cnf(t282,plain,
divide(X1,X1) = zero,
inference(orient,[status(thm)],[t1003]) ).
cnf(t283,plain,
zero = ifeq(zero,zero,divide(divide(X1,divide(X1,X2)),X2),zero),
inference(cp,[status(thm)],[t92,t282]) ).
cnf(t1035,plain,
zero = divide(divide(X1,divide(X1,X2)),X2),
inference(step,[status(thm)],[t283,t12]) ).
cnf(t475,plain,
divide(divide(X1,divide(X1,X2)),X2) = zero,
inference(orient,[status(thm)],[t1035]) ).
cnf(t490,plain,
zero = ifeq(zero,zero,divide(X1,divide(X1,zero)),zero),
inference(cp,[status(thm)],[t292,t475]) ).
cnf(t1036,plain,
zero = divide(X1,divide(X1,zero)),
inference(step,[status(thm)],[t490,t12]) ).
cnf(t503,plain,
divide(X1,divide(X1,zero)) = zero,
inference(orient,[status(thm)],[t1036]) ).
cnf(t509,plain,
divide(X1,zero) = ifeq(zero,zero,ifeq(divide(divide(X1,zero),X1),zero,X1,divide(X1,zero)),divide(X1,zero)),
inference(cp,[status(thm)],[t13,t503]) ).
cnf(t1038,plain,
divide(X1,zero) = ifeq(divide(divide(X1,zero),X1),zero,X1,divide(X1,zero)),
inference(step,[status(thm)],[t509,t12]) ).
cnf(t1039,plain,
divide(X1,zero) = ifeq(zero,zero,X1,divide(X1,zero)),
inference(step,[status(thm)],[t1038,t17]) ).
cnf(t1040,plain,
divide(X1,zero) = X1,
inference(step,[status(thm)],[t1039,t12]) ).
cnf(t536,plain,
divide(X1,zero) = X1,
inference(orient,[status(thm)],[t1040]) ).
cnf(t1083,plain,
zero = divide(divide(X1,a),divide(sFlat0,a)),
inference(step,[status(thm)],[t236,t536]) ).
cnf(t883,plain,
divide(divide(X1,a),divide(sFlat0,a)) = zero,
inference(orient,[status(thm)],[t1083]) ).
cnf(t884,plain,
zero = divide(sFlat0,divide(sFlat0,a)),
inference(cp,[status(thm)],[t883,t55]) ).
cnf(t897,plain,
divide(sFlat0,divide(sFlat0,a)) = zero,
inference(orient,[status(thm)],[t884]) ).
cnf(t900,plain,
divide(sFlat0,a) = ifeq(zero,zero,ifeq(divide(divide(sFlat0,a),sFlat0),zero,sFlat0,divide(sFlat0,a)),divide(sFlat0,a)),
inference(cp,[status(thm)],[t13,t897]) ).
cnf(t1084,plain,
divide(sFlat0,a) = ifeq(divide(divide(sFlat0,a),sFlat0),zero,sFlat0,divide(sFlat0,a)),
inference(step,[status(thm)],[t900,t12]) ).
cnf(t1085,plain,
divide(sFlat0,a) = ifeq(zero,zero,sFlat0,divide(sFlat0,a)),
inference(step,[status(thm)],[t1084,t148]) ).
cnf(t1086,plain,
divide(sFlat0,a) = sFlat0,
inference(step,[status(thm)],[t1085,t12]) ).
cnf(t914,plain,
divide(sFlat0,a) = sFlat0,
inference(orient,[status(thm)],[t1086]) ).
cnf(t947,plain,
zero = divide(sFlat0,sFlat2),
inference(cp,[status(thm)],[t946,t914]) ).
cnf(t959,plain,
divide(sFlat0,sFlat2) = zero,
inference(orient,[status(thm)],[t947]) ).
cnf(t960,plain,
sFlat2 = ifeq(zero,zero,ifeq(divide(sFlat2,sFlat0),zero,sFlat0,sFlat2),sFlat2),
inference(cp,[status(thm)],[t13,t959]) ).
cnf(t1096,plain,
sFlat2 = ifeq(divide(sFlat2,sFlat0),zero,sFlat0,sFlat2),
inference(step,[status(thm)],[t960,t12]) ).
cnf(t119,plain,
zero = divide(sFlat2,sFlat0),
inference(cp,[status(thm)],[t17,t118]) ).
cnf(t133,plain,
divide(sFlat2,sFlat0) = zero,
inference(orient,[status(thm)],[t119]) ).
cnf(t1097,plain,
sFlat2 = ifeq(zero,zero,sFlat0,sFlat2),
inference(step,[status(thm)],[t1096,t133]) ).
cnf(t1098,plain,
sFlat2 = sFlat0,
inference(step,[status(thm)],[t1097,t12]) ).
cnf(t972,plain,
sFlat2 = sFlat0,
inference(orient,[status(thm)],[t1098]) ).
cnf(t1099,plain,
divide(sFlat0,sFlat1) = sFlat0,
inference(step,[status(thm)],[t118,t972]) ).
cnf(t973,plain,
divide(sFlat0,sFlat1) = sFlat0,
inference(orient,[status(thm)],[t1099]) ).
cnf(f8,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f8_nnf,plain,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(goal_0,negated_conjecture,
divide(divide(identity,a),divide(identity,divide(identity,a))) != divide(identity,a),
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(g0_0,plain,
divide(sFlat0,divide(identity,divide(identity,a))) != divide(identity,a),
inference(rw,[status(thm)],[goal_0,t55]) ).
cnf(g0_1,plain,
divide(sFlat0,divide(identity,sFlat0)) != divide(identity,a),
inference(rw,[status(thm)],[g0_0,t55]) ).
cnf(g0_2,plain,
divide(sFlat0,sFlat1) != divide(identity,a),
inference(rw,[status(thm)],[g0_1,t104]) ).
cnf(g0_3,plain,
sFlat0 != divide(identity,a),
inference(rw,[status(thm)],[g0_2,t973]) ).
cnf(g0_4,plain,
sFlat0 != sFlat0,
inference(rw,[status(thm)],[g0_3,t55]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN010-5 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.38 % Computer : n001.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 16:22:35 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 13.38/2.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.38/2.16 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------