TSTP Solution File: NUM856+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Thu Aug 31 11:33:18 EDT 2023
% Result : Theorem 4.11s 1.17s
% Output : CNFRefutation 4.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f1)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
( ( greater(vd517,vd518)
& geq(vd519,vd520) )
| ( geq(vd517,vd518)
& greater(vd519,vd520) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(antec(scope(318)))') ).
fof(f61,plain,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(flattening,[],[f2]) ).
fof(f165,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK1(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK2(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK3(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(cnf_transformation,[],[f61]) ).
fof(f173,plain,
( greater(vd517,vd518)
| greater(vd519,vd520) ),
inference(cnf_transformation,[],[f3]) ).
fof(f174,plain,
( greater(vd517,vd518)
| geq(vd517,vd518) ),
inference(cnf_transformation,[],[f3]) ).
cnf(c_49,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(cnf_transformation,[],[f170]) ).
cnf(c_50,plain,
( greater(vd517,vd518)
| geq(vd517,vd518) ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_51,plain,
( greater(vd517,vd518)
| greater(vd519,vd520) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_53,plain,
( greater(vd519,vd520)
| geq(vd519,vd520) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_54,plain,
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(vmul(X0,X2),vmul(X1,X3)) ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_59,plain,
( ~ greater(X0,X1)
| greater(vmul(X0,X2),vmul(X1,X2)) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_60,plain,
vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(cnf_transformation,[],[f182]) ).
cnf(c_61,plain,
vplus(vmul(X0,X1),vmul(X0,X2)) = vmul(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f183]) ).
cnf(c_62,plain,
vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f184]) ).
cnf(c_90,plain,
( ~ greater(X0,X1)
| geq(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_91,plain,
( ~ geq(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_100,plain,
greater(vplus(X0,X1),X0),
inference(cnf_transformation,[],[f259]) ).
cnf(c_101,plain,
( ~ greater(X0,X1)
| vplus(X1,sK1(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f223]) ).
cnf(c_108,plain,
vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f231]) ).
cnf(c_193,plain,
geq(vd517,vd518),
inference(forward_subsumption_resolution,[status(thm)],[c_50,c_90]) ).
cnf(c_203,plain,
geq(vd519,vd520),
inference(forward_subsumption_resolution,[status(thm)],[c_53,c_90]) ).
cnf(c_1665,plain,
greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)),
inference(superposition,[status(thm)],[c_61,c_100]) ).
cnf(c_2010,plain,
( ~ greater(X0,X1)
| greater(vmul(X0,X2),vmul(X2,X1)) ),
inference(superposition,[status(thm)],[c_62,c_59]) ).
cnf(c_2819,plain,
( vd517 = vd518
| greater(vd517,vd518) ),
inference(superposition,[status(thm)],[c_193,c_91]) ).
cnf(c_2820,plain,
( vd519 = vd520
| greater(vd519,vd520) ),
inference(superposition,[status(thm)],[c_203,c_91]) ).
cnf(c_4628,plain,
( ~ greater(vd517,vd518)
| ~ greater(vd519,vd520) ),
inference(superposition,[status(thm)],[c_54,c_49]) ).
cnf(c_4796,plain,
( ~ greater(vd517,vd518)
| vd519 = vd520 ),
inference(superposition,[status(thm)],[c_2820,c_4628]) ).
cnf(c_4804,plain,
( vd517 = vd518
| vd519 = vd520 ),
inference(superposition,[status(thm)],[c_2819,c_4796]) ).
cnf(c_4827,plain,
( ~ greater(vmul(vd517,vd519),vmul(vd518,vd519))
| vd517 = vd518 ),
inference(superposition,[status(thm)],[c_4804,c_49]) ).
fof(f36,axiom,
! [X73,X74] :
( geq(X74,X73)
<=> ( X73 = X74
| greater(X74,X73) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f213,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f44,axiom,
! [X84,X85] :
( greater(X85,X84)
<=> ? [X86] : vplus(X84,X86) = X85 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f259,plain,
! [X2,X0] : greater(vplus(X0,X2),X0),
inference(equality_resolution,[],[f224]) ).
fof(f53,axiom,
! [X100] : vplus(v1,X100) = vsucc(X100),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f241,plain,
! [X0] : v1 != vsucc(X0),
inference(cnf_transformation,[],[f117]) ).
fof(f93,plain,
! [X0,X1] :
( geq(X1,X0)
<=> ( X0 = X1
| greater(X1,X0) ) ),
inference(rectify,[],[f36]) ).
fof(f101,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f44]) ).
fof(f110,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f53]) ).
fof(f112,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f55]) ).
fof(f113,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f56]) ).
fof(f114,plain,
! [X0] : vsucc(X0) != X0,
inference(rectify,[],[f57]) ).
fof(f115,plain,
! [X0,X1] :
( X0 != X1
=> vsucc(X0) != vsucc(X1) ),
inference(rectify,[],[f58]) ).
fof(f116,plain,
! [X0,X1] :
( vsucc(X0) = vsucc(X1)
=> X0 = X1 ),
inference(rectify,[],[f59]) ).
fof(f117,plain,
! [X0] : v1 != vsucc(X0),
inference(rectify,[],[f60]) ).
fof(f152,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f113]) ).
fof(f153,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f115]) ).
fof(f154,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(ennf_transformation,[],[f116]) ).
fof(f157,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f158,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(flattening,[],[f157]) ).
fof(f37,axiom,
! [X75,X76] :
( less(X75,X76)
=> greater(X76,X75) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f212,plain,
! [X0,X1] :
( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f94,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f37]) ).
fof(f146,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f94]) ).
fof(f38,axiom,
! [X77,X78] :
( greater(X77,X78)
=> less(X78,X77) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f215,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f95,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f147,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f39,axiom,
! [X79,X80] :
( less(X79,X80)
| greater(X79,X80)
| X79 = X80 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f216,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f96,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f39]) ).
fof(f40,axiom,
! [X79,X80] :
( ~ less(X79,X80)
| X79 != X80 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f217,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f96]) ).
fof(f97,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f40]) ).
fof(f163,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f164,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f163]) ).
fof(f166,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( vplus(X0,sK1(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f164,f165]) ).
fof(f45,axiom,
! [X87,X88] :
( ? [X90] : vplus(X87,X90) = X88
| ? [X89] : vplus(X88,X89) = X87
| X87 = X88 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof(f223,plain,
! [X0,X1] :
( vplus(X0,sK1(X0,X1)) = X1
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| X0 = X1 ),
inference(rectify,[],[f45]) ).
fof(f169,plain,
! [X0,X1] :
( vplus(X0,sK2(X0,X1)) = X1
| vplus(X1,sK3(X0,X1)) = X0
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f102,f168,f167]) ).
fof(f46,axiom,
! [X87,X88] :
( ~ ? [X90] : vplus(X87,X90) = X88
| X87 != X88 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof(f225,plain,
! [X0,X1] :
( vplus(X0,sK2(X0,X1)) = X1
| vplus(X1,sK3(X0,X1)) = X0
| X0 = X1 ),
inference(cnf_transformation,[],[f169]) ).
fof(f103,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| X0 != X1 ),
inference(rectify,[],[f46]) ).
fof(f148,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| X0 != X1 ),
inference(ennf_transformation,[],[f103]) ).
fof(f218,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f97]) ).
fof(f41,axiom,
! [X79,X80] :
( ~ less(X79,X80)
| ~ greater(X79,X80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f256,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f218]) ).
fof(f98,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f41]) ).
fof(f42,axiom,
! [X79,X80] :
( ~ greater(X79,X80)
| X79 != X80 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f219,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f99,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f42]) ).
fof(f220,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f224,plain,
! [X2,X0,X1] :
( greater(X1,X0)
| vplus(X0,X2) != X1 ),
inference(cnf_transformation,[],[f166]) ).
fof(f226,plain,
! [X2,X0,X1] :
( vplus(X0,X2) != X1
| X0 != X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f47,axiom,
! [X87,X88] :
( ~ ? [X90] : vplus(X87,X90) = X88
| ~ ? [X89] : vplus(X88,X89) = X87 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof(f260,plain,
! [X2,X0] : vplus(X0,X2) != X0,
inference(equality_resolution,[],[f226]) ).
fof(f104,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| ~ ? [X3] : vplus(X1,X3) = X0 ),
inference(rectify,[],[f47]) ).
fof(f149,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| ! [X3] : vplus(X1,X3) != X0 ),
inference(ennf_transformation,[],[f104]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) != X1
| vplus(X1,X3) != X0 ),
inference(cnf_transformation,[],[f149]) ).
fof(f48,axiom,
! [X87,X88] :
( ~ ? [X89] : vplus(X88,X89) = X87
| X87 != X88 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof(f261,plain,
! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0,
inference(equality_resolution,[],[f227]) ).
fof(f105,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X1,X2) = X0
| X0 != X1 ),
inference(rectify,[],[f48]) ).
fof(f150,plain,
! [X0,X1] :
( ! [X2] : vplus(X1,X2) != X0
| X0 != X1 ),
inference(ennf_transformation,[],[f105]) ).
fof(f228,plain,
! [X2,X0,X1] :
( vplus(X1,X2) != X0
| X0 != X1 ),
inference(cnf_transformation,[],[f150]) ).
fof(f49,axiom,
! [X91,X92] :
( X91 != X92
=> ! [X93] : vplus(X93,X91) != vplus(X93,X92) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof(f262,plain,
! [X2,X1] : vplus(X1,X2) != X1,
inference(equality_resolution,[],[f228]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != X1
=> ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
inference(rectify,[],[f49]) ).
fof(f151,plain,
! [X0,X1] :
( ! [X2] : vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f106]) ).
fof(f50,axiom,
! [X94,X95] : vplus(X94,X95) != X95,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof(f229,plain,
! [X2,X0,X1] :
( vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f151]) ).
fof(f107,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(rectify,[],[f50]) ).
fof(f51,axiom,
! [X96,X97] : vplus(X97,X96) = vplus(X96,X97),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f230,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(cnf_transformation,[],[f107]) ).
fof(f108,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f51]) ).
fof(f52,axiom,
! [X98,X99] : vplus(vsucc(X98),X99) = vsucc(vplus(X98,X99)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof(f231,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f108]) ).
fof(f109,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(rectify,[],[f52]) ).
fof(f232,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f109]) ).
fof(f233,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f110]) ).
fof(f54,axiom,
! [X101,X102,X103] : vplus(vplus(X101,X102),X103) = vplus(X101,vplus(X102,X103)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f244,plain,
! [X0,X1] : vplus(vplus(v1,X0),X1) = vplus(v1,vplus(X0,X1)),
inference(definition_unfolding,[],[f232,f233,f233]) ).
fof(f111,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f54]) ).
fof(f234,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f111]) ).
fof(f235,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f112]) ).
fof(f56,axiom,
! [X106] :
( v1 != X106
=> vsucc(vskolem2(X106)) = X106 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f246,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f235,f233,f233]) ).
fof(f236,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f112]) ).
fof(f55,axiom,
! [X104,X105] :
( vplus(X104,v1) = vsucc(X104)
& vplus(X104,vsucc(X105)) = vsucc(vplus(X104,X105)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f245,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f236,f233]) ).
fof(f237,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f57,axiom,
! [X107] : vsucc(X107) != X107,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof(f247,plain,
! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ),
inference(definition_unfolding,[],[f237,f233]) ).
fof(f238,plain,
! [X0] : vsucc(X0) != X0,
inference(cnf_transformation,[],[f114]) ).
fof(f58,axiom,
! [X108,X109] :
( X108 != X109
=> vsucc(X108) != vsucc(X109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof(f248,plain,
! [X0] : vplus(v1,X0) != X0,
inference(definition_unfolding,[],[f238,f233]) ).
fof(f239,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f59,axiom,
! [X110,X111] :
( vsucc(X110) = vsucc(X111)
=> X110 = X111 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof(f249,plain,
! [X0,X1] :
( vplus(v1,X0) != vplus(v1,X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f239,f233,f233]) ).
fof(f240,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f60,axiom,
! [X112] : v1 != vsucc(X112),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof(f250,plain,
! [X0,X1] :
( X0 = X1
| vplus(v1,X0) != vplus(v1,X1) ),
inference(definition_unfolding,[],[f240,f233,f233]) ).
fof(f257,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f220]) ).
cnf(c_97,plain,
~ greater(X0,X0),
inference(cnf_transformation,[],[f257]) ).
cnf(c_110,plain,
vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f234]) ).
cnf(c_4828,plain,
( ~ greater(vmul(vd517,vd519),vmul(vd519,vd518))
| vd517 = vd518 ),
inference(theory_normalisation,[status(thm)],[c_4827,c_60,c_62,c_110,c_108]) ).
cnf(c_13233,plain,
( ~ greater(vd517,vd518)
| vd517 = vd518 ),
inference(superposition,[status(thm)],[c_2010,c_4828]) ).
cnf(c_13455,plain,
vd517 = vd518,
inference(global_subsumption_just,[status(thm)],[c_13233,c_2819,c_13233]) ).
cnf(c_13480,plain,
( greater(vd517,vd517)
| greater(vd519,vd520) ),
inference(demodulation,[status(thm)],[c_51,c_13455]) ).
cnf(c_13482,plain,
~ greater(vmul(vd517,vd519),vmul(vd517,vd520)),
inference(demodulation,[status(thm)],[c_49,c_13455]) ).
cnf(c_13483,plain,
greater(vd519,vd520),
inference(forward_subsumption_resolution,[status(thm)],[c_13480,c_97]) ).
cnf(c_13502,plain,
vplus(vd520,sK1(vd520,vd519)) = vd519,
inference(superposition,[status(thm)],[c_13483,c_101]) ).
cnf(c_13949,plain,
greater(vmul(X0,vd519),vmul(X0,vd520)),
inference(superposition,[status(thm)],[c_13502,c_1665]) ).
cnf(c_14073,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_13482,c_13949]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 16:26:04 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.46 Running first-order theorem proving
% 0.21/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.11/1.17 % SZS status Started for theBenchmark.p
% 4.11/1.17 % SZS status Theorem for theBenchmark.p
% 4.11/1.17
% 4.11/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.11/1.17
% 4.11/1.17 ------ iProver source info
% 4.11/1.17
% 4.11/1.17 git: date: 2023-05-31 18:12:56 +0000
% 4.11/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.11/1.17 git: non_committed_changes: false
% 4.11/1.17 git: last_make_outside_of_git: false
% 4.11/1.17
% 4.11/1.17 ------ Parsing...
% 4.11/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.11/1.17
% 4.11/1.17 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 4.11/1.17
% 4.11/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.11/1.17
% 4.11/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.11/1.17 ------ Proving...
% 4.11/1.17 ------ Problem Properties
% 4.11/1.17
% 4.11/1.17
% 4.11/1.17 clauses 57
% 4.11/1.17 conjectures 1
% 4.11/1.17 EPR 22
% 4.11/1.17 Horn 51
% 4.11/1.17 unary 20
% 4.11/1.17 binary 24
% 4.11/1.17 lits 107
% 4.11/1.17 lits eq 26
% 4.11/1.17 fd_pure 0
% 4.11/1.17 fd_pseudo 0
% 4.11/1.17 fd_cond 0
% 4.11/1.17 fd_pseudo_cond 6
% 4.11/1.17 AC symbols 2
% 4.11/1.17
% 4.11/1.17 ------ Schedule dynamic 5 is on
% 4.11/1.17
% 4.11/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.11/1.17
% 4.11/1.17
% 4.11/1.17 ------
% 4.11/1.17 Current options:
% 4.11/1.17 ------
% 4.11/1.17
% 4.11/1.17
% 4.11/1.17
% 4.11/1.17
% 4.11/1.17 ------ Proving...
% 4.11/1.17
% 4.11/1.17
% 4.11/1.17 % SZS status Theorem for theBenchmark.p
% 4.11/1.17
% 4.11/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.11/1.17
% 4.11/1.18
%------------------------------------------------------------------------------