%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM423+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 02:19:59 PM UTC 2026
% Result : Theorem 64.51s 8.95s
% Output : Proof 64.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 111 ( 79 unt; 2 def)
% Number of atoms : 210 ( 110 equ)
% Maximal formula atoms : 11 ( 1 avg)
% Number of connectives : 165 ( 66 ~; 57 |; 33 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 79 ( 2 sgn 38 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,definition,
! [W0,W1,W2] :
( ( W2 != sz00
& aInteger0(W2)
& aInteger0(W1)
& aInteger0(W0) )
=> ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
<=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
fof(f18_nnf,plain,
! [W0,W1,W2] :
( ( ( ~ aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1)))
| sdteqdtlpzmzozddtrp0(W0,W1,W2) )
& ( aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1)))
| ~ sdteqdtlpzmzozddtrp0(W0,W1,W2) ) )
| W2 = sz00
| ~ aInteger0(W2)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [W0,W1,W2] :
( ( ( ~ aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1)))
| sdteqdtlpzmzozddtrp0(W0,W1,W2) )
& ( aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1)))
| ~ sdteqdtlpzmzozddtrp0(W0,W1,W2) ) )
| W2 = sz00
| ~ aInteger0(W2)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c29,plain,
( ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| X2 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(t250,plain,
ifeq(aInteger0(X1),true,ifeq(aInteger0(X2),true,ifeq(aInteger0(X3),true,ifeq(aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))),true,or(eq(X3,sz00),sdteqdtlpzmzozddtrp0(X1,X2,X3)),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c29]) ).
cnf(t1534,plain,
ifeq(aInteger0(X1),true,ifeq(aInteger0(X2),true,ifeq(aInteger0(X3),true,ifeq(aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))),true,or(eq(X3,sz00),sdteqdtlpzmzozddtrp0(X1,X2,X3)),true),true),true),true) = true,
inference(orient,[status(thm)],[t250]) ).
fof(f20,conjecture,
sdteqdtlpzmzozddtrp0(xa,xa,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f20_neg,negated_conjecture,
~ sdteqdtlpzmzozddtrp0(xa,xa,xq),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f20_nnf,plain,
~ sdteqdtlpzmzozddtrp0(xa,xa,xq),
inference(nnf_transformation,[status(thm)],[f20_neg]) ).
fof(f20_sk,plain,
~ sdteqdtlpzmzozddtrp0(xa,xa,xq),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c33,plain,
~ sdteqdtlpzmzozddtrp0(xa,xa,xq),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(t76,plain,
sdteqdtlpzmzozddtrp0(xa,xa,xq) = false,
inference(equality_encoding,[status(esa)],[c33]) ).
cnf(t2948,plain,
sdteqdtlpzmzozddtrp0(xa,xa,xq) = false,
inference(orient,[status(thm)],[t76]) ).
cnf(t2949,plain,
true = ifeq(aInteger0(xa),true,ifeq(aInteger0(xa),true,ifeq(aInteger0(xq),true,ifeq(aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))),true,or(eq(xq,sz00),false),true),true),true),true),
inference(cp,[status(thm)],[t1534,t2948]) ).
fof(f5,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> aInteger0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(f5_nnf,plain,
! [W0,W1] :
( aInteger0(sdtasdt0(W0,W1))
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [W0,W1] :
( aInteger0(sdtasdt0(W0,W1))
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(hi4,axiom,
ifeq(aInteger0(X0),true,ifeq(aInteger0(X1),true,aInteger0(sdtasdt0(X0,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
fof(f2,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(f2_nnf,plain,
aInteger0(sz10),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
aInteger0(sz10),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(hi1,axiom,
aInteger0(sz10) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
fof(f19,hypothesis,
( xq != sz00
& aInteger0(xq)
& aInteger0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__671) ).
fof(f19_nnf,plain,
( xq != sz00
& aInteger0(xq)
& aInteger0(xa) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( xq != sz00
& aInteger0(xq)
& aInteger0(xa) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c30,plain,
aInteger0(xa),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(hi28,axiom,
aInteger0(xa) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(t41,plain,
aInteger0(sdtasdt0(sz10,xa)) = true,
inference(hyper_resolution,[status(thm)],[hi4,hi1,hi28]) ).
fof(f11,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f11_nnf,plain,
! [W0,W1] :
( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [W0,W1] :
( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c13,plain,
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi12,axiom,
ifeq(aInteger0(X0),true,ifeq(aInteger0(X1),true,sdtasdt0(X0,X1),sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) = sdtasdt0(X1,X0),
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t132,plain,
sdtasdt0(xa,sz10) = sdtasdt0(sz10,xa),
inference(hyper_resolution,[status(thm)],[hi12,hi1,hi28]) ).
cnf(t676,plain,
sdtasdt0(sz10,xa) = sdtasdt0(xa,sz10),
inference(orient,[status(thm)],[t132]) ).
fof(f12,axiom,
! [W0] :
( aInteger0(W0)
=> ( W0 = sdtasdt0(sz10,W0)
& sdtasdt0(W0,sz10) = W0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
fof(f12_nnf,plain,
! [W0] :
( ( W0 = sdtasdt0(sz10,W0)
& sdtasdt0(W0,sz10) = W0 )
| ~ aInteger0(W0) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [W0] :
( ( W0 = sdtasdt0(sz10,W0)
& sdtasdt0(W0,sz10) = W0 )
| ~ aInteger0(W0) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c15,plain,
( X0 = sdtasdt0(sz10,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(hi14,axiom,
ifeq(aInteger0(X0),true,X0,sdtasdt0(sz10,X0)) = sdtasdt0(sz10,X0),
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t22,plain,
sdtasdt0(sz10,xa) = xa,
inference(hyper_resolution,[status(thm)],[hi14,hi28]) ).
cnf(t6786,plain,
sdtasdt0(xa,sz10) = xa,
inference(step,[status(thm)],[t22,t676]) ).
cnf(t686,plain,
sdtasdt0(xa,sz10) = xa,
inference(orient,[status(thm)],[t6786]) ).
cnf(t6787,plain,
sdtasdt0(sz10,xa) = xa,
inference(step,[status(thm)],[t676,t686]) ).
cnf(t687,plain,
sdtasdt0(sz10,xa) = xa,
inference(orient,[status(thm)],[t6787]) ).
cnf(t6797,plain,
aInteger0(xa) = true,
inference(step,[status(thm)],[t41,t687]) ).
cnf(t941,plain,
aInteger0(xa) = true,
inference(orient,[status(thm)],[t6797]) ).
cnf(t7007,plain,
true = ifeq(true,true,ifeq(aInteger0(xa),true,ifeq(aInteger0(xq),true,ifeq(aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))),true,or(eq(xq,sz00),false),true),true),true),true),
inference(step,[status(thm)],[t2949,t941]) ).
cnf(t85,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t256,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t85]) ).
cnf(t7008,plain,
true = ifeq(aInteger0(xa),true,ifeq(aInteger0(xq),true,ifeq(aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))),true,or(eq(xq,sz00),false),true),true),true),
inference(step,[status(thm)],[t7007,t256]) ).
cnf(t7009,plain,
true = ifeq(true,true,ifeq(aInteger0(xq),true,ifeq(aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))),true,or(eq(xq,sz00),false),true),true),true),
inference(step,[status(thm)],[t7008,t941]) ).
cnf(t7010,plain,
true = ifeq(aInteger0(xq),true,ifeq(aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))),true,or(eq(xq,sz00),false),true),true),
inference(step,[status(thm)],[t7009,t256]) ).
cnf(c31,plain,
aInteger0(xq),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(hi29,axiom,
aInteger0(xq) = true,
inference(equality_encoding,[status(esa)],[c31]) ).
cnf(t42,plain,
aInteger0(sdtasdt0(sz10,xq)) = true,
inference(hyper_resolution,[status(thm)],[hi4,hi1,hi29]) ).
cnf(t135,plain,
sdtasdt0(xq,sz10) = sdtasdt0(sz10,xq),
inference(hyper_resolution,[status(thm)],[hi12,hi1,hi29]) ).
cnf(t746,plain,
sdtasdt0(sz10,xq) = sdtasdt0(xq,sz10),
inference(orient,[status(thm)],[t135]) ).
cnf(t23,plain,
sdtasdt0(sz10,xq) = xq,
inference(hyper_resolution,[status(thm)],[hi14,hi29]) ).
cnf(t6793,plain,
sdtasdt0(xq,sz10) = xq,
inference(step,[status(thm)],[t23,t746]) ).
cnf(t755,plain,
sdtasdt0(xq,sz10) = xq,
inference(orient,[status(thm)],[t6793]) ).
cnf(t6794,plain,
sdtasdt0(sz10,xq) = xq,
inference(step,[status(thm)],[t746,t755]) ).
cnf(t756,plain,
sdtasdt0(sz10,xq) = xq,
inference(orient,[status(thm)],[t6794]) ).
cnf(t6798,plain,
aInteger0(xq) = true,
inference(step,[status(thm)],[t42,t756]) ).
cnf(t948,plain,
aInteger0(xq) = true,
inference(orient,[status(thm)],[t6798]) ).
cnf(t7011,plain,
true = ifeq(true,true,ifeq(aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))),true,or(eq(xq,sz00),false),true),true),
inference(step,[status(thm)],[t7010,t948]) ).
cnf(t7012,plain,
true = ifeq(aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))),true,or(eq(xq,sz00),false),true),
inference(step,[status(thm)],[t7011,t256]) ).
fof(f9,axiom,
! [W0] :
( aInteger0(W0)
=> ( sz00 = sdtpldt0(smndt0(W0),W0)
& sdtpldt0(W0,smndt0(W0)) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f9_nnf,plain,
! [W0] :
( ( sz00 = sdtpldt0(smndt0(W0),W0)
& sdtpldt0(W0,smndt0(W0)) = sz00 )
| ~ aInteger0(W0) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [W0] :
( ( sz00 = sdtpldt0(smndt0(W0),W0)
& sdtpldt0(W0,smndt0(W0)) = sz00 )
| ~ aInteger0(W0) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c10,plain,
( sdtpldt0(X0,smndt0(X0)) = sz00
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi9,axiom,
ifeq(aInteger0(X0),true,sdtpldt0(X0,smndt0(X0)),sz00) = sz00,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t83,plain,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(hyper_resolution,[status(thm)],[hi9,hi28]) ).
cnf(t309,plain,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(orient,[status(thm)],[t83]) ).
cnf(t7013,plain,
true = ifeq(aDivisorOf0(xq,sz00),true,or(eq(xq,sz00),false),true),
inference(step,[status(thm)],[t7012,t309]) ).
fof(f14,axiom,
! [W0] :
( aInteger0(W0)
=> ( sz00 = sdtasdt0(sz00,W0)
& sdtasdt0(W0,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f14_nnf,plain,
! [W0] :
( ( sz00 = sdtasdt0(sz00,W0)
& sdtasdt0(W0,sz00) = sz00 )
| ~ aInteger0(W0) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [W0] :
( ( sz00 = sdtasdt0(sz00,W0)
& sdtasdt0(W0,sz00) = sz00 )
| ~ aInteger0(W0) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c18,plain,
( sdtasdt0(X0,sz00) = sz00
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi17,axiom,
ifeq(aInteger0(X0),true,sdtasdt0(X0,sz00),sz00) = sz00,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(h163,plain,
sdtasdt0(xq,sz00) = sz00,
inference(hyper_resolution,[status(thm)],[hi17,hi29]) ).
fof(f17,definition,
! [W0] :
( aInteger0(W0)
=> ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( ? [W2] :
( sdtasdt0(W1,W2) = W0
& aInteger0(W2) )
& W1 != sz00
& aInteger0(W1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
fof(f17_nnf,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( sdtasdt0(W1,W2) != W0
| ~ aInteger0(W2) )
| W1 = sz00
| ~ aInteger0(W1)
| aDivisorOf0(W1,W0) )
& ( ( ? [W2] :
( sdtasdt0(W1,W2) = W0
& aInteger0(W2) )
& W1 != sz00
& aInteger0(W1) )
| ~ aDivisorOf0(W1,W0) ) )
| ~ aInteger0(W0) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [W0,W1,W2] :
( ( ( sdtasdt0(W1,W2) != W0
| ~ aInteger0(W2)
| W1 = sz00
| ~ aInteger0(W1)
| aDivisorOf0(W1,W0) )
& ( ( sdtasdt0(W1,sk0(W0,W1)) = W0
& aInteger0(sk0(W0,W1))
& W1 != sz00
& aInteger0(W1) )
| ~ aDivisorOf0(W1,W0) ) )
| ~ aInteger0(W0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f17_nnf]) ).
cnf(c27,plain,
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| X1 = sz00
| ~ aInteger0(X1)
| aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(hi25,axiom,
ifeq(aInteger0(X0),true,ifeq(aInteger0(X1),true,ifeq(aInteger0(X2),true,ifeq(sdtasdt0(X1,X2),X0,or(aDivisorOf0(X1,X0),eq(X1,sz00)),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
fof(f1,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f1_nnf,plain,
aInteger0(sz00),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
aInteger0(sz00),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(hi0,axiom,
aInteger0(sz00) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t168,plain,
or(aDivisorOf0(xq,sz00),eq(xq,sz00)) = true,
inference(hyper_resolution,[status(thm)],[hi25,hi0,hi29,hi0,h163]) ).
cnf(t1829,plain,
or(aDivisorOf0(xq,sz00),eq(xq,sz00)) = true,
inference(orient,[status(thm)],[t168]) ).
cnf(c32,plain,
xq != sz00,
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(t11,plain,
eq(xq,sz00) = false,
inference(equality_encoding,[status(esa)],[c32]) ).
cnf(t2937,plain,
eq(xq,sz00) = false,
inference(orient,[status(thm)],[t11]) ).
cnf(t6818,plain,
or(aDivisorOf0(xq,sz00),false) = true,
inference(step,[status(thm)],[t1829,t2937]) ).
cnf(t12,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t261,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t12]) ).
cnf(t6819,plain,
aDivisorOf0(xq,sz00) = true,
inference(step,[status(thm)],[t6818,t261]) ).
cnf(t2945,plain,
aDivisorOf0(xq,sz00) = true,
inference(rw,[status(thm)],[t6819]) ).
cnf(t2956,plain,
aDivisorOf0(xq,sz00) = true,
inference(orient,[status(thm)],[t2945]) ).
cnf(t7014,plain,
true = ifeq(true,true,or(eq(xq,sz00),false),true),
inference(step,[status(thm)],[t7013,t2956]) ).
cnf(t7015,plain,
true = or(eq(xq,sz00),false),
inference(step,[status(thm)],[t7014,t256]) ).
cnf(t7016,plain,
true = eq(xq,sz00),
inference(step,[status(thm)],[t7015,t261]) ).
cnf(t7017,plain,
true = false,
inference(step,[status(thm)],[t7016,t2937]) ).
cnf(t6768,plain,
false = true,
inference(orient,[status(thm)],[t7017]) ).
cnf(c24,plain,
( X1 != sz00
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c24,c32,c33]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t6768]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM423+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 03:53:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 64.51/8.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.51/8.95 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------