TSTP Solution File: GRP775+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 : Fri May 3 02:23:39 EDT 2024
% Result : Theorem 7.66s 1.62s
% Output : CNFRefutation 8.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : product(product(X2,X1),X0) = product(X2,product(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos01) ).
fof(f2,axiom,
! [X2] : product(X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos02) ).
fof(f3,axiom,
! [X3,X4] :
( l(X3,X4)
<=> ( product(X4,X3) = X4
& product(X3,X4) = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos03) ).
fof(f4,axiom,
! [X5,X6] :
( r(X5,X6)
<=> ( product(X6,X5) = X5
& product(X5,X6) = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos04) ).
fof(f5,axiom,
! [X7,X8] :
( d(X7,X8)
<=> ? [X9] :
( l(X9,X8)
& r(X7,X9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos05) ).
fof(f6,conjecture,
! [X10,X11] :
( d(X10,X11)
<=> ( product(X11,product(X10,X11)) = X11
& product(X10,product(X11,X10)) = X10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ! [X10,X11] :
( d(X10,X11)
<=> ( product(X11,product(X10,X11)) = X11
& product(X10,product(X11,X10)) = X10 ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f8,plain,
! [X0] : product(X0,X0) = X0,
inference(rectify,[],[f2]) ).
fof(f9,plain,
! [X0,X1] :
( l(X0,X1)
<=> ( product(X1,X0) = X1
& product(X0,X1) = X0 ) ),
inference(rectify,[],[f3]) ).
fof(f10,plain,
! [X0,X1] :
( r(X0,X1)
<=> ( product(X1,X0) = X0
& product(X0,X1) = X1 ) ),
inference(rectify,[],[f4]) ).
fof(f11,plain,
! [X0,X1] :
( d(X0,X1)
<=> ? [X2] :
( l(X2,X1)
& r(X0,X2) ) ),
inference(rectify,[],[f5]) ).
fof(f12,plain,
~ ! [X0,X1] :
( d(X0,X1)
<=> ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 ) ),
inference(rectify,[],[f7]) ).
fof(f13,plain,
? [X0,X1] :
( d(X0,X1)
<~> ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ( l(X0,X1)
| product(X1,X0) != X1
| product(X0,X1) != X0 )
& ( ( product(X1,X0) = X1
& product(X0,X1) = X0 )
| ~ l(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X0,X1] :
( ( l(X0,X1)
| product(X1,X0) != X1
| product(X0,X1) != X0 )
& ( ( product(X1,X0) = X1
& product(X0,X1) = X0 )
| ~ l(X0,X1) ) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ( r(X0,X1)
| product(X1,X0) != X0
| product(X0,X1) != X1 )
& ( ( product(X1,X0) = X0
& product(X0,X1) = X1 )
| ~ r(X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X0,X1] :
( ( r(X0,X1)
| product(X1,X0) != X0
| product(X0,X1) != X1 )
& ( ( product(X1,X0) = X0
& product(X0,X1) = X1 )
| ~ r(X0,X1) ) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ( d(X0,X1)
| ! [X2] :
( ~ l(X2,X1)
| ~ r(X0,X2) ) )
& ( ? [X2] :
( l(X2,X1)
& r(X0,X2) )
| ~ d(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f19,plain,
! [X0,X1] :
( ( d(X0,X1)
| ! [X2] :
( ~ l(X2,X1)
| ~ r(X0,X2) ) )
& ( ? [X3] :
( l(X3,X1)
& r(X0,X3) )
| ~ d(X0,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X3] :
( l(X3,X1)
& r(X0,X3) )
=> ( l(sK0(X0,X1),X1)
& r(X0,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
( ( d(X0,X1)
| ! [X2] :
( ~ l(X2,X1)
| ~ r(X0,X2) ) )
& ( ( l(sK0(X0,X1),X1)
& r(X0,sK0(X0,X1)) )
| ~ d(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).
fof(f22,plain,
? [X0,X1] :
( ( product(X1,product(X0,X1)) != X1
| product(X0,product(X1,X0)) != X0
| ~ d(X0,X1) )
& ( ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 )
| d(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f23,plain,
? [X0,X1] :
( ( product(X1,product(X0,X1)) != X1
| product(X0,product(X1,X0)) != X0
| ~ d(X0,X1) )
& ( ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 )
| d(X0,X1) ) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
( ? [X0,X1] :
( ( product(X1,product(X0,X1)) != X1
| product(X0,product(X1,X0)) != X0
| ~ d(X0,X1) )
& ( ( product(X1,product(X0,X1)) = X1
& product(X0,product(X1,X0)) = X0 )
| d(X0,X1) ) )
=> ( ( sK2 != product(sK2,product(sK1,sK2))
| sK1 != product(sK1,product(sK2,sK1))
| ~ d(sK1,sK2) )
& ( ( sK2 = product(sK2,product(sK1,sK2))
& sK1 = product(sK1,product(sK2,sK1)) )
| d(sK1,sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
( ( sK2 != product(sK2,product(sK1,sK2))
| sK1 != product(sK1,product(sK2,sK1))
| ~ d(sK1,sK2) )
& ( ( sK2 = product(sK2,product(sK1,sK2))
& sK1 = product(sK1,product(sK2,sK1)) )
| d(sK1,sK2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f23,f24]) ).
fof(f26,plain,
! [X2,X0,X1] : product(product(X2,X1),X0) = product(X2,product(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f27,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f28,plain,
! [X0,X1] :
( product(X0,X1) = X0
| ~ l(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
! [X0,X1] :
( product(X1,X0) = X1
| ~ l(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X0,X1] :
( l(X0,X1)
| product(X1,X0) != X1
| product(X0,X1) != X0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f31,plain,
! [X0,X1] :
( product(X0,X1) = X1
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f32,plain,
! [X0,X1] :
( product(X1,X0) = X0
| ~ r(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0,X1] :
( r(X0,X1)
| product(X1,X0) != X0
| product(X0,X1) != X1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f34,plain,
! [X0,X1] :
( r(X0,sK0(X0,X1))
| ~ d(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f35,plain,
! [X0,X1] :
( l(sK0(X0,X1),X1)
| ~ d(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f36,plain,
! [X2,X0,X1] :
( d(X0,X1)
| ~ l(X2,X1)
| ~ r(X0,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f37,plain,
( sK1 = product(sK1,product(sK2,sK1))
| d(sK1,sK2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f38,plain,
( sK2 = product(sK2,product(sK1,sK2))
| d(sK1,sK2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f39,plain,
( sK2 != product(sK2,product(sK1,sK2))
| sK1 != product(sK1,product(sK2,sK1))
| ~ d(sK1,sK2) ),
inference(cnf_transformation,[],[f25]) ).
cnf(c_49,plain,
product(product(X0,X1),X2) = product(X0,product(X1,X2)),
inference(cnf_transformation,[],[f26]) ).
cnf(c_50,plain,
product(X0,X0) = X0,
inference(cnf_transformation,[],[f27]) ).
cnf(c_51,plain,
( product(X0,X1) != X0
| product(X1,X0) != X1
| l(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_52,plain,
( ~ l(X0,X1)
| product(X1,X0) = X1 ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_53,plain,
( ~ l(X0,X1)
| product(X0,X1) = X0 ),
inference(cnf_transformation,[],[f28]) ).
cnf(c_54,plain,
( product(X0,X1) != X1
| product(X1,X0) != X0
| r(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_55,plain,
( ~ r(X0,X1)
| product(X1,X0) = X0 ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_56,plain,
( ~ r(X0,X1)
| product(X0,X1) = X1 ),
inference(cnf_transformation,[],[f31]) ).
cnf(c_57,plain,
( ~ l(X0,X1)
| ~ r(X2,X0)
| d(X2,X1) ),
inference(cnf_transformation,[],[f36]) ).
cnf(c_58,plain,
( ~ d(X0,X1)
| l(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f35]) ).
cnf(c_59,plain,
( ~ d(X0,X1)
| r(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_60,negated_conjecture,
( product(sK2,product(sK1,sK2)) != sK2
| product(sK1,product(sK2,sK1)) != sK1
| ~ d(sK1,sK2) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_61,negated_conjecture,
( product(sK2,product(sK1,sK2)) = sK2
| d(sK1,sK2) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_62,negated_conjecture,
( product(sK1,product(sK2,sK1)) = sK1
| d(sK1,sK2) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_366,plain,
( X0 != sK1
| X1 != sK2
| product(sK1,product(sK2,sK1)) = sK1
| l(sK0(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_58,c_62]) ).
cnf(c_367,plain,
( product(sK1,product(sK2,sK1)) = sK1
| l(sK0(sK1,sK2),sK2) ),
inference(unflattening,[status(thm)],[c_366]) ).
cnf(c_374,plain,
( X0 != sK1
| X1 != sK2
| product(sK2,product(sK1,sK2)) = sK2
| l(sK0(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_58,c_61]) ).
cnf(c_375,plain,
( product(sK2,product(sK1,sK2)) = sK2
| l(sK0(sK1,sK2),sK2) ),
inference(unflattening,[status(thm)],[c_374]) ).
cnf(c_400,plain,
product(sK2,sK1) = sP0_iProver_def,
definition ).
cnf(c_401,plain,
product(sK1,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_402,plain,
product(sK1,sK2) = sP2_iProver_def,
definition ).
cnf(c_403,plain,
product(sK2,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_404,negated_conjecture,
( sP1_iProver_def = sK1
| d(sK1,sK2) ),
inference(demodulation,[status(thm)],[c_62,c_400,c_401]) ).
cnf(c_405,negated_conjecture,
( sP3_iProver_def = sK2
| d(sK1,sK2) ),
inference(demodulation,[status(thm)],[c_61,c_402,c_403]) ).
cnf(c_406,negated_conjecture,
( sP1_iProver_def != sK1
| sP3_iProver_def != sK2
| ~ d(sK1,sK2) ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_407,plain,
X0 = X0,
theory(equality) ).
cnf(c_409,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_415,plain,
sK1 = sK1,
inference(instantiation,[status(thm)],[c_407]) ).
cnf(c_637,plain,
product(X0,product(X0,X1)) = product(X0,X1),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_638,plain,
product(sK1,product(sK2,X0)) = product(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_402,c_49]) ).
cnf(c_641,plain,
product(sK2,product(sP2_iProver_def,X0)) = product(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_403,c_49]) ).
cnf(c_643,plain,
product(X0,product(X1,product(X0,X1))) = product(X0,X1),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_663,plain,
( ~ d(X0,X1)
| product(X1,sK0(X0,X1)) = X1 ),
inference(superposition,[status(thm)],[c_58,c_52]) ).
cnf(c_677,plain,
( ~ d(X0,X1)
| product(sK0(X0,X1),X0) = X0 ),
inference(superposition,[status(thm)],[c_59,c_55]) ).
cnf(c_689,plain,
product(sK1,sP2_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_402,c_637]) ).
cnf(c_692,plain,
product(sK2,sP3_iProver_def) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_403,c_637]) ).
cnf(c_707,plain,
product(sK1,sP0_iProver_def) = product(sP2_iProver_def,sK1),
inference(superposition,[status(thm)],[c_400,c_638]) ).
cnf(c_708,plain,
product(sK1,sP3_iProver_def) = product(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_403,c_638]) ).
cnf(c_711,plain,
product(sK1,sP3_iProver_def) = product(sP2_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_692,c_638]) ).
cnf(c_715,plain,
product(sP2_iProver_def,sK1) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_707,c_401]) ).
cnf(c_725,plain,
( sK1 != X0
| sP1_iProver_def != X0
| sK1 = sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_409]) ).
cnf(c_726,plain,
( sK1 != sK1
| sP1_iProver_def != sK1
| sK1 = sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_725]) ).
cnf(c_925,plain,
( product(sK1,sP2_iProver_def) != sP2_iProver_def
| sK1 != sP1_iProver_def
| r(sK1,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_715,c_54]) ).
cnf(c_956,plain,
( sK1 != sP1_iProver_def
| r(sK1,sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_925,c_689]) ).
cnf(c_1128,plain,
product(sK1,sP3_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_708,c_50]) ).
cnf(c_1161,plain,
product(sP2_iProver_def,sP3_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_711,c_1128]) ).
cnf(c_1398,plain,
product(sK2,sP2_iProver_def) = product(sP3_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_50,c_641]) ).
cnf(c_1415,plain,
product(sP3_iProver_def,sP2_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_1398,c_403]) ).
cnf(c_1453,plain,
( product(sP2_iProver_def,sP3_iProver_def) != sP2_iProver_def
| l(sP2_iProver_def,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_1415,c_51]) ).
cnf(c_1456,plain,
l(sP2_iProver_def,sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_1453,c_1161]) ).
cnf(c_1472,plain,
( ~ r(X0,sP2_iProver_def)
| d(X0,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_1456,c_57]) ).
cnf(c_1477,plain,
( ~ r(sK1,sP2_iProver_def)
| d(sK1,sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_1472]) ).
cnf(c_3970,plain,
( product(sK2,sK0(sK1,sK2)) = sK2
| sK2 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_405,c_663]) ).
cnf(c_3971,plain,
( product(sK2,sK0(sK1,sK2)) = sK2
| sK1 = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_404,c_663]) ).
cnf(c_4114,plain,
( product(sK0(sK1,sK2),sK2) != sK0(sK1,sK2)
| sK1 = sP1_iProver_def
| l(sK0(sK1,sK2),sK2) ),
inference(superposition,[status(thm)],[c_3971,c_51]) ).
cnf(c_4116,plain,
( product(sK2,product(sK0(sK1,sK2),X0)) = product(sK2,X0)
| sK1 = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_3971,c_49]) ).
cnf(c_4790,plain,
( product(sK2,product(product(sK0(sK1,sK2),X0),product(sK2,X0))) = product(sK2,X0)
| sK1 = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_4116,c_643]) ).
cnf(c_6232,plain,
( sK1 = sP1_iProver_def
| l(sK0(sK1,sK2),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_4114,c_60,c_367,c_375,c_415,c_404,c_726]) ).
cnf(c_9719,plain,
( ~ d(X0,X1)
| product(X1,sK0(X0,X1)) = X1 ),
inference(superposition,[status(thm)],[c_58,c_52]) ).
cnf(c_9733,plain,
( product(sK2,sK0(sK1,sK2)) = sK2
| sK2 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_405,c_9719]) ).
cnf(c_9734,plain,
( product(sK2,sK0(sK1,sK2)) = sK2
| sK1 = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_404,c_9719]) ).
cnf(c_9786,plain,
( ~ d(X0,X1)
| product(X0,sK0(X0,X1)) = sK0(X0,X1) ),
inference(superposition,[status(thm)],[c_59,c_56]) ).
cnf(c_9791,plain,
product(X0,product(X0,X1)) = product(X0,X1),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_9844,plain,
( product(sK0(sK1,sK2),sK2) != sK0(sK1,sK2)
| sK1 = sP1_iProver_def
| l(sK0(sK1,sK2),sK2) ),
inference(superposition,[status(thm)],[c_9734,c_51]) ).
cnf(c_10154,plain,
( product(sK1,sK0(sK1,sK2)) = sK0(sK1,sK2)
| sK2 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_405,c_9786]) ).
cnf(c_10187,plain,
product(product(X0,X1),product(X0,product(X1,X2))) = product(X0,product(X1,X2)),
inference(superposition,[status(thm)],[c_49,c_9791]) ).
cnf(c_10374,plain,
product(X0,product(X1,product(X0,product(X1,X2)))) = product(X0,product(X1,X2)),
inference(demodulation,[status(thm)],[c_10187,c_49]) ).
cnf(c_10425,plain,
( product(X0,product(sK1,product(X0,sK0(sK1,sK2)))) = product(X0,sK0(sK1,sK2))
| sK2 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_10154,c_10374]) ).
cnf(c_13243,plain,
( sK1 = sP1_iProver_def
| l(sK0(sK1,sK2),sK2) ),
inference(global_subsumption_just,[status(thm)],[c_9844,c_6232]) ).
cnf(c_14194,plain,
( product(sK2,product(sK0(sK1,sK2),product(X0,product(sK2,X0)))) = product(sK2,X0)
| sK1 = sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_4790,c_49]) ).
cnf(c_14234,plain,
( product(sK2,product(sK0(sK1,sK2),product(sK0(sK1,sK2),sK2))) = sK2
| sK2 = sP3_iProver_def
| sK1 = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_3970,c_14194]) ).
cnf(c_14676,plain,
( product(sK2,product(sK1,sK2)) = sK2
| sK2 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_9733,c_10425]) ).
cnf(c_14699,plain,
sK2 = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_14676,c_402,c_403]) ).
cnf(c_14703,plain,
( sK1 = sP1_iProver_def
| l(sK0(sK1,sP3_iProver_def),sP3_iProver_def) ),
inference(demodulation,[status(thm)],[c_13243,c_14699]) ).
cnf(c_14729,plain,
( sK1 != sP1_iProver_def
| sP3_iProver_def != sP3_iProver_def
| ~ d(sK1,sP3_iProver_def) ),
inference(demodulation,[status(thm)],[c_406,c_14699]) ).
cnf(c_14731,plain,
( sK1 = sP1_iProver_def
| d(sK1,sP3_iProver_def) ),
inference(demodulation,[status(thm)],[c_404,c_14699]) ).
cnf(c_14734,plain,
( sK1 != sP1_iProver_def
| ~ d(sK1,sP3_iProver_def) ),
inference(equality_resolution_simp,[status(thm)],[c_14729]) ).
cnf(c_14783,plain,
d(sK1,sP3_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_14731,c_956,c_1477,c_14731]) ).
cnf(c_14947,plain,
sK2 = sP3_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_14234,c_14699]) ).
cnf(c_15006,plain,
( sK1 = sP1_iProver_def
| l(sK0(sK1,sP3_iProver_def),sP3_iProver_def) ),
inference(demodulation,[status(thm)],[c_6232,c_14947]) ).
cnf(c_15045,plain,
( sK1 != sP1_iProver_def
| sP3_iProver_def != sP3_iProver_def
| ~ d(sK1,sP3_iProver_def) ),
inference(demodulation,[status(thm)],[c_406,c_14947]) ).
cnf(c_15047,plain,
( sK1 = sP1_iProver_def
| d(sK1,sP3_iProver_def) ),
inference(demodulation,[status(thm)],[c_404,c_14947]) ).
cnf(c_15084,plain,
( sK1 != sP1_iProver_def
| ~ d(sK1,sP3_iProver_def) ),
inference(equality_resolution_simp,[status(thm)],[c_15045]) ).
cnf(c_15133,plain,
d(sK1,sP3_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_15047,c_14783]) ).
cnf(c_15135,plain,
product(sK0(sK1,sP3_iProver_def),sK1) = sK1,
inference(superposition,[status(thm)],[c_15133,c_677]) ).
cnf(c_15141,plain,
product(sK0(sK1,sP3_iProver_def),product(sK1,X0)) = product(sK1,X0),
inference(superposition,[status(thm)],[c_15135,c_49]) ).
cnf(c_15182,plain,
product(sK0(sK1,sP3_iProver_def),sP2_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_1128,c_15141]) ).
cnf(c_15367,plain,
sK1 != sP1_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_15084,c_956,c_1477,c_14731,c_14734]) ).
cnf(c_15383,plain,
l(sK0(sK1,sP3_iProver_def),sP3_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_15006,c_956,c_1477,c_14731,c_14734,c_14703]) ).
cnf(c_15386,plain,
product(sK0(sK1,sP3_iProver_def),sP3_iProver_def) = sK0(sK1,sP3_iProver_def),
inference(superposition,[status(thm)],[c_15383,c_53]) ).
cnf(c_15420,plain,
product(sK0(sK1,sP3_iProver_def),product(sP3_iProver_def,X0)) = product(sK0(sK1,sP3_iProver_def),X0),
inference(superposition,[status(thm)],[c_15386,c_49]) ).
cnf(c_18753,plain,
product(sK0(sK1,sP3_iProver_def),sP2_iProver_def) = product(sK0(sK1,sP3_iProver_def),sP3_iProver_def),
inference(superposition,[status(thm)],[c_1415,c_15420]) ).
cnf(c_18790,plain,
sK0(sK1,sP3_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_18753,c_15386,c_15182]) ).
cnf(c_18847,plain,
product(sP2_iProver_def,sK1) = sK1,
inference(demodulation,[status(thm)],[c_15135,c_18790]) ).
cnf(c_18848,plain,
sK1 = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_18847,c_715]) ).
cnf(c_18849,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_18848,c_15367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP775+1 : TPTP v8.1.2. Released v4.1.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n002.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 00:22:12 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.66/1.62 % SZS status Started for theBenchmark.p
% 7.66/1.62 % SZS status Theorem for theBenchmark.p
% 7.66/1.62
% 7.66/1.62 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.66/1.62
% 7.66/1.62 ------ iProver source info
% 7.66/1.62
% 7.66/1.62 git: date: 2024-05-02 19:28:25 +0000
% 7.66/1.62 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.66/1.62 git: non_committed_changes: false
% 7.66/1.62
% 7.66/1.62 ------ Parsing...
% 7.66/1.62 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.66/1.62
% 7.66/1.62 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 7.66/1.62
% 7.66/1.62 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.66/1.62
% 7.66/1.62 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.66/1.62 ------ Proving...
% 7.66/1.62 ------ Problem Properties
% 7.66/1.62
% 7.66/1.62
% 7.66/1.62 clauses 18
% 7.66/1.62 conjectures 3
% 7.66/1.62 EPR 4
% 7.66/1.62 Horn 16
% 7.66/1.62 unary 6
% 7.66/1.62 binary 8
% 7.66/1.62 lits 34
% 7.66/1.62 lits eq 18
% 7.66/1.62 fd_pure 0
% 7.66/1.62 fd_pseudo 0
% 7.66/1.62 fd_cond 0
% 7.66/1.62 fd_pseudo_cond 0
% 7.66/1.62 AC symbols 0
% 7.66/1.62
% 7.66/1.62 ------ Schedule dynamic 5 is on
% 7.66/1.62
% 7.66/1.62 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.66/1.62
% 7.66/1.62
% 7.66/1.62 ------
% 7.66/1.62 Current options:
% 7.66/1.62 ------
% 7.66/1.62
% 7.66/1.62
% 7.66/1.62
% 7.66/1.62
% 7.66/1.62 ------ Proving...
% 7.66/1.62
% 7.66/1.62
% 7.66/1.62 % SZS status Theorem for theBenchmark.p
% 7.66/1.62
% 7.66/1.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.20/1.62
% 8.20/1.63
%------------------------------------------------------------------------------