%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HEN004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 01:36:57 PM UTC 2026
% Result : Unsatisfiable 26.29s 3.84s
% Output : Proof 26.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 9
% Syntax : Number of formulae : 127 ( 107 unt; 0 def)
% Number of atoms : 167 ( 98 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 86 ( 46 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-4 aty)
% Number of variables : 271 ( 22 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f7,axiom,
quotient(X,Y,divide(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure) ).
fof(f7_nnf,plain,
! [X,Y] : quotient(X,Y,divide(X,Y)),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Y] : quotient(X,Y,divide(X,Y)),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
quotient(X0,X1,divide(X0,X1)),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t3,plain,
quotient(X1,X2,divide(X1,X2)) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t24,plain,
quotient(X1,X2,divide(X1,X2)) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(f5,axiom,
( X = Y
| ~ less_equal(Y,X)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f5_nnf,plain,
! [X,Y] :
( X = Y
| ~ less_equal(Y,X)
| ~ less_equal(X,Y) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] :
( X = Y
| ~ less_equal(Y,X)
| ~ less_equal(X,Y) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( X0 = X1
| ~ less_equal(X1,X0)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(t7,plain,
ifeq(less_equal(X1,X2),true,ifeq(less_equal(X2,X1),true,X1,X2),X2) = X2,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t14,plain,
ifeq(less_equal(X1,X2),true,ifeq(less_equal(X2,X1),true,X1,X2),X2) = X2,
inference(orient,[status(thm)],[t7]) ).
cnf(f2,axiom,
( less_equal(Z,X)
| ~ quotient(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divisor_existence) ).
fof(f2_nnf,plain,
! [X,Y,Z] :
( less_equal(Z,X)
| ~ quotient(X,Y,Z) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y,Z] :
( less_equal(Z,X)
| ~ quotient(X,Y,Z) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( less_equal(X2,X0)
| ~ quotient(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t5,plain,
ifeq(quotient(X1,X2,X3),true,less_equal(X3,X1),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t18,plain,
ifeq(quotient(X1,X2,X3),true,less_equal(X3,X1),true) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t25,plain,
true = ifeq(true,true,less_equal(divide(X1,X2),X1),true),
inference(cp,[status(thm)],[t18,t24]) ).
cnf(t2,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t11,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t1042,plain,
true = less_equal(divide(X1,X2),X1),
inference(step,[status(thm)],[t25,t11]) ).
cnf(t72,plain,
less_equal(divide(X1,X2),X1) = true,
inference(orient,[status(thm)],[t1042]) ).
cnf(t77,plain,
divide(X1,X2) = ifeq(less_equal(X1,divide(X1,X2)),true,ifeq(true,true,X1,divide(X1,X2)),divide(X1,X2)),
inference(cp,[status(thm)],[t14,t72]) ).
cnf(t1060,plain,
divide(X1,X2) = ifeq(less_equal(X1,divide(X1,X2)),true,X1,divide(X1,X2)),
inference(step,[status(thm)],[t77,t11]) ).
cnf(t116,plain,
ifeq(less_equal(X1,divide(X1,X2)),true,X1,divide(X1,X2)) = divide(X1,X2),
inference(orient,[status(thm)],[t1060]) ).
cnf(f1,axiom,
( less_equal(X,Y)
| ~ quotient(X,Y,zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f1_nnf,plain,
! [X,Y] :
( less_equal(X,Y)
| ~ quotient(X,Y,zero) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( less_equal(X,Y)
| ~ quotient(X,Y,zero) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( less_equal(X0,X1)
| ~ quotient(X0,X1,zero) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t6,plain,
ifeq(quotient(X1,X2,zero),true,less_equal(X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t21,plain,
ifeq(quotient(X1,X2,zero),true,less_equal(X1,X2),true) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(f4,axiom,
less_equal(zero,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f4_nnf,plain,
! [X] : less_equal(zero,X),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] : less_equal(zero,X),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
less_equal(zero,X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t1,plain,
less_equal(zero,X1) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t40,plain,
less_equal(zero,X1) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t45,plain,
zero = ifeq(less_equal(X1,zero),true,ifeq(true,true,X1,zero),zero),
inference(cp,[status(thm)],[t14,t40]) ).
cnf(t1048,plain,
zero = ifeq(less_equal(X1,zero),true,X1,zero),
inference(step,[status(thm)],[t45,t11]) ).
cnf(t92,plain,
ifeq(less_equal(X1,zero),true,X1,zero) = zero,
inference(orient,[status(thm)],[t1048]) ).
cnf(f3,axiom,
( less_equal(V4,V5)
| ~ quotient(V1,Z,V5)
| ~ quotient(V3,V2,V4)
| ~ quotient(X,Z,V3)
| ~ quotient(Y,Z,V2)
| ~ quotient(X,Y,V1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f3_nnf,plain,
! [X,Y,V1,Z,V2,V3,V4,V5] :
( less_equal(V4,V5)
| ~ quotient(V1,Z,V5)
| ~ quotient(V3,V2,V4)
| ~ quotient(X,Z,V3)
| ~ quotient(Y,Z,V2)
| ~ quotient(X,Y,V1) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y,V1,Z,V2,V3,V4,V5] :
( less_equal(V4,V5)
| ~ quotient(V1,Z,V5)
| ~ quotient(V3,V2,V4)
| ~ quotient(X,Z,V3)
| ~ quotient(Y,Z,V2)
| ~ quotient(X,Y,V1) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( less_equal(X6,X7)
| ~ quotient(X2,X3,X7)
| ~ quotient(X5,X4,X6)
| ~ quotient(X0,X3,X5)
| ~ quotient(X1,X3,X4)
| ~ quotient(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t9,plain,
ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X2,X4,X5),true,ifeq(quotient(X1,X4,X6),true,ifeq(quotient(X6,X5,X7),true,ifeq(quotient(X3,X4,X8),true,less_equal(X7,X8),true),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t15,plain,
ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X2,X4,X5),true,ifeq(quotient(X1,X4,X6),true,ifeq(quotient(X6,X5,X7),true,ifeq(quotient(X3,X4,X8),true,less_equal(X7,X8),true),true),true),true),true) = true,
inference(orient,[status(thm)],[t9]) ).
cnf(t28,plain,
true = ifeq(true,true,ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X2,X5),true,ifeq(quotient(X5,X3,X6),true,ifeq(quotient(divide(X4,X1),X2,X7),true,less_equal(X6,X7),true),true),true),true),true),
inference(cp,[status(thm)],[t15,t24]) ).
cnf(t1110,plain,
true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X2,X5),true,ifeq(quotient(X5,X3,X6),true,ifeq(quotient(divide(X4,X1),X2,X7),true,less_equal(X6,X7),true),true),true),true),
inference(step,[status(thm)],[t28,t11]) ).
cnf(t560,plain,
ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X4,X2,X5),true,ifeq(quotient(X5,X3,X6),true,ifeq(quotient(divide(X4,X1),X2,X7),true,less_equal(X6,X7),true),true),true),true) = true,
inference(orient,[status(thm)],[t1110]) ).
cnf(f0,axiom,
( quotient(X,Y,zero)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f0_nnf,plain,
! [X,Y] :
( quotient(X,Y,zero)
| ~ less_equal(X,Y) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( quotient(X,Y,zero)
| ~ less_equal(X,Y) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t4,plain,
ifeq(less_equal(X1,X2),true,quotient(X1,X2,zero),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t23,plain,
ifeq(less_equal(X1,X2),true,quotient(X1,X2,zero),true) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t42,plain,
true = ifeq(true,true,quotient(zero,X1,zero),true),
inference(cp,[status(thm)],[t23,t40]) ).
cnf(t1041,plain,
true = quotient(zero,X1,zero),
inference(step,[status(thm)],[t42,t11]) ).
cnf(t64,plain,
quotient(zero,X1,zero) = true,
inference(orient,[status(thm)],[t1041]) ).
cnf(t565,plain,
true = ifeq(true,true,ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(divide(X1,zero),X2,X5),true,less_equal(X4,X5),true),true),true),true),
inference(cp,[status(thm)],[t560,t64]) ).
cnf(t1133,plain,
true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(divide(X1,zero),X2,X5),true,less_equal(X4,X5),true),true),true),
inference(step,[status(thm)],[t565,t11]) ).
cnf(t675,plain,
ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X3,zero,X4),true,ifeq(quotient(divide(X1,zero),X2,X5),true,less_equal(X4,X5),true),true),true) = true,
inference(orient,[status(thm)],[t1133]) ).
cnf(t74,plain,
true = ifeq(true,true,quotient(divide(X1,X2),X1,zero),true),
inference(cp,[status(thm)],[t23,t72]) ).
cnf(t1043,plain,
true = quotient(divide(X1,X2),X1,zero),
inference(step,[status(thm)],[t74,t11]) ).
cnf(t79,plain,
quotient(divide(X1,X2),X1,zero) = true,
inference(orient,[status(thm)],[t1043]) ).
cnf(t575,plain,
true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X2,X2,X4),true,ifeq(quotient(X4,X3,X5),true,ifeq(true,true,less_equal(X5,zero),true),true),true),true),
inference(cp,[status(thm)],[t560,t79]) ).
cnf(t1115,plain,
true = ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X2,X2,X4),true,ifeq(quotient(X4,X3,X5),true,less_equal(X5,zero),true),true),true),
inference(step,[status(thm)],[t575,t11]) ).
cnf(t592,plain,
ifeq(quotient(X1,X2,X3),true,ifeq(quotient(X2,X2,X4),true,ifeq(quotient(X4,X3,X5),true,less_equal(X5,zero),true),true),true) = true,
inference(orient,[status(thm)],[t1115]) ).
cnf(t594,plain,
true = ifeq(true,true,ifeq(quotient(X1,X1,X2),true,ifeq(quotient(X2,zero,X3),true,less_equal(X3,zero),true),true),true),
inference(cp,[status(thm)],[t592,t79]) ).
cnf(t1116,plain,
true = ifeq(quotient(X1,X1,X2),true,ifeq(quotient(X2,zero,X3),true,less_equal(X3,zero),true),true),
inference(step,[status(thm)],[t594,t11]) ).
cnf(t601,plain,
ifeq(quotient(X1,X1,X2),true,ifeq(quotient(X2,zero,X3),true,less_equal(X3,zero),true),true) = true,
inference(orient,[status(thm)],[t1116]) ).
cnf(t602,plain,
true = ifeq(true,true,ifeq(quotient(divide(X1,X1),zero,X2),true,less_equal(X2,zero),true),true),
inference(cp,[status(thm)],[t601,t24]) ).
cnf(t1117,plain,
true = ifeq(quotient(divide(X1,X1),zero,X2),true,less_equal(X2,zero),true),
inference(step,[status(thm)],[t602,t11]) ).
cnf(t605,plain,
ifeq(quotient(divide(X1,X1),zero,X2),true,less_equal(X2,zero),true) = true,
inference(orient,[status(thm)],[t1117]) ).
cnf(t606,plain,
true = ifeq(true,true,less_equal(divide(divide(X1,X1),zero),zero),true),
inference(cp,[status(thm)],[t605,t24]) ).
cnf(t1118,plain,
true = less_equal(divide(divide(X1,X1),zero),zero),
inference(step,[status(thm)],[t606,t11]) ).
cnf(t607,plain,
less_equal(divide(divide(X1,X1),zero),zero) = true,
inference(orient,[status(thm)],[t1118]) ).
cnf(t608,plain,
zero = ifeq(true,true,divide(divide(X1,X1),zero),zero),
inference(cp,[status(thm)],[t92,t607]) ).
cnf(t1119,plain,
zero = divide(divide(X1,X1),zero),
inference(step,[status(thm)],[t608,t11]) ).
cnf(t613,plain,
divide(divide(X1,X1),zero) = zero,
inference(orient,[status(thm)],[t1119]) ).
cnf(t616,plain,
true = quotient(divide(X1,X1),zero,zero),
inference(cp,[status(thm)],[t24,t613]) ).
cnf(t618,plain,
quotient(divide(X1,X1),zero,zero) = true,
inference(orient,[status(thm)],[t616]) ).
cnf(t620,plain,
true = ifeq(true,true,less_equal(divide(X1,X1),zero),true),
inference(cp,[status(thm)],[t21,t618]) ).
cnf(t1120,plain,
true = less_equal(divide(X1,X1),zero),
inference(step,[status(thm)],[t620,t11]) ).
cnf(t630,plain,
less_equal(divide(X1,X1),zero) = true,
inference(orient,[status(thm)],[t1120]) ).
cnf(t631,plain,
zero = ifeq(true,true,divide(X1,X1),zero),
inference(cp,[status(thm)],[t92,t630]) ).
cnf(t1121,plain,
zero = divide(X1,X1),
inference(step,[status(thm)],[t631,t11]) ).
cnf(t635,plain,
divide(X1,X1) = zero,
inference(orient,[status(thm)],[t1121]) ).
cnf(t638,plain,
true = quotient(X1,X1,zero),
inference(cp,[status(thm)],[t24,t635]) ).
cnf(t640,plain,
quotient(X1,X1,zero) = true,
inference(orient,[status(thm)],[t638]) ).
cnf(t685,plain,
true = ifeq(quotient(X1,divide(X1,zero),X2),true,ifeq(quotient(X2,zero,X3),true,ifeq(true,true,less_equal(X3,zero),true),true),true),
inference(cp,[status(thm)],[t675,t640]) ).
cnf(t1152,plain,
true = ifeq(quotient(X1,divide(X1,zero),X2),true,ifeq(quotient(X2,zero,X3),true,less_equal(X3,zero),true),true),
inference(step,[status(thm)],[t685,t11]) ).
cnf(t879,plain,
ifeq(quotient(X1,divide(X1,zero),X2),true,ifeq(quotient(X2,zero,X3),true,less_equal(X3,zero),true),true) = true,
inference(orient,[status(thm)],[t1152]) ).
cnf(t880,plain,
true = ifeq(true,true,ifeq(quotient(divide(X1,divide(X1,zero)),zero,X2),true,less_equal(X2,zero),true),true),
inference(cp,[status(thm)],[t879,t24]) ).
cnf(t1154,plain,
true = ifeq(quotient(divide(X1,divide(X1,zero)),zero,X2),true,less_equal(X2,zero),true),
inference(step,[status(thm)],[t880,t11]) ).
cnf(t885,plain,
ifeq(quotient(divide(X1,divide(X1,zero)),zero,X2),true,less_equal(X2,zero),true) = true,
inference(orient,[status(thm)],[t1154]) ).
cnf(t886,plain,
true = ifeq(true,true,less_equal(divide(divide(X1,divide(X1,zero)),zero),zero),true),
inference(cp,[status(thm)],[t885,t24]) ).
cnf(t1155,plain,
true = less_equal(divide(divide(X1,divide(X1,zero)),zero),zero),
inference(step,[status(thm)],[t886,t11]) ).
cnf(t887,plain,
less_equal(divide(divide(X1,divide(X1,zero)),zero),zero) = true,
inference(orient,[status(thm)],[t1155]) ).
cnf(t888,plain,
zero = ifeq(true,true,divide(divide(X1,divide(X1,zero)),zero),zero),
inference(cp,[status(thm)],[t92,t887]) ).
cnf(t1156,plain,
zero = divide(divide(X1,divide(X1,zero)),zero),
inference(step,[status(thm)],[t888,t11]) ).
cnf(t893,plain,
divide(divide(X1,divide(X1,zero)),zero) = zero,
inference(orient,[status(thm)],[t1156]) ).
cnf(t896,plain,
true = quotient(divide(X1,divide(X1,zero)),zero,zero),
inference(cp,[status(thm)],[t24,t893]) ).
cnf(t901,plain,
quotient(divide(X1,divide(X1,zero)),zero,zero) = true,
inference(orient,[status(thm)],[t896]) ).
cnf(t903,plain,
true = ifeq(true,true,less_equal(divide(X1,divide(X1,zero)),zero),true),
inference(cp,[status(thm)],[t21,t901]) ).
cnf(t1157,plain,
true = less_equal(divide(X1,divide(X1,zero)),zero),
inference(step,[status(thm)],[t903,t11]) ).
cnf(t916,plain,
less_equal(divide(X1,divide(X1,zero)),zero) = true,
inference(orient,[status(thm)],[t1157]) ).
cnf(t917,plain,
zero = ifeq(true,true,divide(X1,divide(X1,zero)),zero),
inference(cp,[status(thm)],[t92,t916]) ).
cnf(t1158,plain,
zero = divide(X1,divide(X1,zero)),
inference(step,[status(thm)],[t917,t11]) ).
cnf(t921,plain,
divide(X1,divide(X1,zero)) = zero,
inference(orient,[status(thm)],[t1158]) ).
cnf(t924,plain,
true = quotient(X1,divide(X1,zero),zero),
inference(cp,[status(thm)],[t24,t921]) ).
cnf(t927,plain,
quotient(X1,divide(X1,zero),zero) = true,
inference(orient,[status(thm)],[t924]) ).
cnf(t929,plain,
true = ifeq(true,true,less_equal(X1,divide(X1,zero)),true),
inference(cp,[status(thm)],[t21,t927]) ).
cnf(t1159,plain,
true = less_equal(X1,divide(X1,zero)),
inference(step,[status(thm)],[t929,t11]) ).
cnf(t944,plain,
less_equal(X1,divide(X1,zero)) = true,
inference(orient,[status(thm)],[t1159]) ).
cnf(t945,plain,
divide(X1,zero) = ifeq(true,true,X1,divide(X1,zero)),
inference(cp,[status(thm)],[t116,t944]) ).
cnf(t1160,plain,
divide(X1,zero) = X1,
inference(step,[status(thm)],[t945,t11]) ).
cnf(t949,plain,
divide(X1,zero) = X1,
inference(orient,[status(thm)],[t1160]) ).
cnf(t952,plain,
true = quotient(X1,zero,X1),
inference(cp,[status(thm)],[t24,t949]) ).
cnf(t989,plain,
quotient(X1,zero,X1) = true,
inference(orient,[status(thm)],[t952]) ).
cnf(f9,negated_conjecture,
~ quotient(x,zero,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divde_zero_is_x) ).
fof(f9_nnf,plain,
~ quotient(x,zero,x),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
~ quotient(x,zero,x),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
~ quotient(x,zero,x),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(goal_0,negated_conjecture,
quotient(x,zero,x) != true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t989]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HEN004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 16:11:48 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 26.29/3.84 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.29/3.84 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------