TSTP Solution File: NUM849+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM849+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 02:50:54 EDT 2024
% Result : Theorem 3.92s 1.12s
% Output : CNFRefutation 3.92s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f162)
% Comments :
%------------------------------------------------------------------------------
fof(f157,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK2(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK3(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK4(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
cnf(c_49,negated_conjecture,
vmul(vmul(vd448,vd449),vplus(v1,sK0)) != vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(cnf_transformation,[],[f229]) ).
cnf(c_50,negated_conjecture,
vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)),
inference(cnf_transformation,[],[f162]) ).
cnf(c_57,plain,
vplus(vmul(X0,X1),vmul(X0,X2)) = vmul(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f170]) ).
cnf(c_58,plain,
vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f171]) ).
cnf(c_59,plain,
vplus(vmul(X0,X1),X1) = vmul(vplus(v1,X0),X1),
inference(cnf_transformation,[],[f232]) ).
cnf(c_62,plain,
vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(cnf_transformation,[],[f233]) ).
cnf(c_104,plain,
vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f218]) ).
cnf(c_460,plain,
vmul(vd448,vmul(vd449,sK0)) = vmul(sK0,vmul(vd449,vd448)),
inference(demodulation,[status(thm)],[c_50,c_58]) ).
cnf(c_5352,plain,
vplus(vmul(X0,X1),vmul(X1,X2)) = vmul(X1,vplus(X0,X2)),
inference(superposition,[status(thm)],[c_58,c_57]) ).
fof(f41,axiom,
! [X63,X64] :
( greater(X64,X63)
<=> ? [X65] : vplus(X63,X65) = X64 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f248,plain,
! [X2,X0] : greater(vplus(X0,X2),X0),
inference(equality_resolution,[],[f211]) ).
fof(f50,axiom,
! [X79] : vplus(v1,X79) = vsucc(X79),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f228,plain,
! [X0] : vsucc(X0) != v1,
inference(cnf_transformation,[],[f110]) ).
fof(f94,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f41]) ).
fof(f103,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f50]) ).
fof(f105,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f52]) ).
fof(f106,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f53]) ).
fof(f107,plain,
! [X0] : vsucc(X0) != X0,
inference(rectify,[],[f54]) ).
fof(f108,plain,
! [X0,X1] :
( X0 != X1
=> vsucc(X0) != vsucc(X1) ),
inference(rectify,[],[f55]) ).
fof(f109,plain,
! [X0,X1] :
( vsucc(X0) = vsucc(X1)
=> X0 = X1 ),
inference(rectify,[],[f56]) ).
fof(f110,plain,
! [X0] : vsucc(X0) != v1,
inference(rectify,[],[f57]) ).
fof(f142,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f106]) ).
fof(f143,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f108]) ).
fof(f144,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f155,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f156,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f155]) ).
fof(f158,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( vplus(X0,sK2(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f156,f157]) ).
fof(f42,axiom,
! [X66,X67] :
( ? [X69] : vplus(X66,X69) = X67
| ? [X68] : vplus(X67,X68) = X66
| X66 = X67 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof(f210,plain,
! [X0,X1] :
( vplus(X0,sK2(X0,X1)) = X1
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| X0 = X1 ),
inference(rectify,[],[f42]) ).
fof(f161,plain,
! [X0,X1] :
( vplus(X0,sK3(X0,X1)) = X1
| vplus(X1,sK4(X0,X1)) = X0
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f95,f160,f159]) ).
fof(f43,axiom,
! [X66,X67] :
( ~ ? [X69] : vplus(X66,X69) = X67
| X66 != X67 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof(f212,plain,
! [X0,X1] :
( vplus(X0,sK3(X0,X1)) = X1
| vplus(X1,sK4(X0,X1)) = X0
| X0 = X1 ),
inference(cnf_transformation,[],[f161]) ).
fof(f96,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| X0 != X1 ),
inference(rectify,[],[f43]) ).
fof(f138,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| X0 != X1 ),
inference(ennf_transformation,[],[f96]) ).
fof(f211,plain,
! [X2,X0,X1] :
( greater(X1,X0)
| vplus(X0,X2) != X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f213,plain,
! [X2,X0,X1] :
( vplus(X0,X2) != X1
| X0 != X1 ),
inference(cnf_transformation,[],[f138]) ).
fof(f44,axiom,
! [X66,X67] :
( ~ ? [X69] : vplus(X66,X69) = X67
| ~ ? [X68] : vplus(X67,X68) = X66 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof(f249,plain,
! [X2,X0] : vplus(X0,X2) != X0,
inference(equality_resolution,[],[f213]) ).
fof(f97,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| ~ ? [X3] : vplus(X1,X3) = X0 ),
inference(rectify,[],[f44]) ).
fof(f139,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| ! [X3] : vplus(X1,X3) != X0 ),
inference(ennf_transformation,[],[f97]) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) != X1
| vplus(X1,X3) != X0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f45,axiom,
! [X66,X67] :
( ~ ? [X68] : vplus(X67,X68) = X66
| X66 != X67 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof(f250,plain,
! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0,
inference(equality_resolution,[],[f214]) ).
fof(f98,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X1,X2) = X0
| X0 != X1 ),
inference(rectify,[],[f45]) ).
fof(f140,plain,
! [X0,X1] :
( ! [X2] : vplus(X1,X2) != X0
| X0 != X1 ),
inference(ennf_transformation,[],[f98]) ).
fof(f215,plain,
! [X2,X0,X1] :
( vplus(X1,X2) != X0
| X0 != X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f46,axiom,
! [X70,X71] :
( X70 != X71
=> ! [X72] : vplus(X72,X70) != vplus(X72,X71) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof(f251,plain,
! [X2,X1] : vplus(X1,X2) != X1,
inference(equality_resolution,[],[f215]) ).
fof(f99,plain,
! [X0,X1] :
( X0 != X1
=> ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
inference(rectify,[],[f46]) ).
fof(f141,plain,
! [X0,X1] :
( ! [X2] : vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f99]) ).
fof(f47,axiom,
! [X73,X74] : vplus(X73,X74) != X74,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof(f216,plain,
! [X2,X0,X1] :
( vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f141]) ).
fof(f100,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(rectify,[],[f47]) ).
fof(f48,axiom,
! [X75,X76] : vplus(X76,X75) = vplus(X75,X76),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f217,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(cnf_transformation,[],[f100]) ).
fof(f101,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f48]) ).
fof(f49,axiom,
! [X77,X78] : vplus(vsucc(X77),X78) = vsucc(vplus(X77,X78)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof(f218,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f101]) ).
fof(f102,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(rectify,[],[f49]) ).
fof(f219,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f102]) ).
fof(f220,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f103]) ).
fof(f51,axiom,
! [X80,X81,X82] : vplus(vplus(X80,X81),X82) = vplus(X80,vplus(X81,X82)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f234,plain,
! [X0,X1] : vplus(vplus(v1,X0),X1) = vplus(v1,vplus(X0,X1)),
inference(definition_unfolding,[],[f219,f220,f220]) ).
fof(f104,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f51]) ).
fof(f221,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f104]) ).
fof(f222,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f105]) ).
fof(f53,axiom,
! [X85] :
( v1 != X85
=> vsucc(vskolem2(X85)) = X85 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f236,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f222,f220,f220]) ).
fof(f223,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f105]) ).
fof(f52,axiom,
! [X83,X84] :
( vplus(X83,v1) = vsucc(X83)
& vplus(X83,vsucc(X84)) = vsucc(vplus(X83,X84)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f235,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f223,f220]) ).
fof(f224,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f142]) ).
fof(f54,axiom,
! [X86] : vsucc(X86) != X86,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof(f237,plain,
! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ),
inference(definition_unfolding,[],[f224,f220]) ).
fof(f225,plain,
! [X0] : vsucc(X0) != X0,
inference(cnf_transformation,[],[f107]) ).
fof(f55,axiom,
! [X87,X88] :
( X87 != X88
=> vsucc(X87) != vsucc(X88) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof(f238,plain,
! [X0] : vplus(v1,X0) != X0,
inference(definition_unfolding,[],[f225,f220]) ).
fof(f226,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f56,axiom,
! [X89,X90] :
( vsucc(X89) = vsucc(X90)
=> X89 = X90 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof(f239,plain,
! [X0,X1] :
( vplus(v1,X0) != vplus(v1,X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f226,f220,f220]) ).
fof(f227,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f57,axiom,
! [X91] : v1 != vsucc(X91),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof(f240,plain,
! [X0,X1] :
( X0 = X1
| vplus(v1,X0) != vplus(v1,X1) ),
inference(definition_unfolding,[],[f227,f220,f220]) ).
cnf(c_106,plain,
vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f221]) ).
cnf(c_154,plain,
vplus(X0,vmul(X1,X0)) = vmul(vplus(v1,X1),X0),
inference(theory_normalisation,[status(thm)],[c_59,c_106,c_104]) ).
cnf(c_155,plain,
vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(v1,X1)),
inference(theory_normalisation,[status(thm)],[c_62,c_106,c_104]) ).
cnf(c_493,plain,
vmul(vplus(v1,sK0),vmul(vd449,vd448)) != vmul(vd448,vplus(vd449,vmul(vd449,sK0))),
inference(demodulation,[status(thm)],[c_49,c_58,c_155]) ).
cnf(c_1332,plain,
vplus(vmul(vd449,vd448),vmul(vd448,vmul(vd449,sK0))) = vmul(vplus(v1,sK0),vmul(vd449,vd448)),
inference(superposition,[status(thm)],[c_460,c_154]) ).
cnf(c_5489,plain,
vmul(vplus(v1,sK0),vmul(vd449,vd448)) = vmul(vd448,vplus(vd449,vmul(vd449,sK0))),
inference(demodulation,[status(thm)],[c_1332,c_5352]) ).
cnf(c_5490,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5489,c_493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NUM849+1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n031.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 20:12:01 EDT 2024
% 0.11/0.32 % 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
% 3.92/1.12 % SZS status Started for theBenchmark.p
% 3.92/1.12 % SZS status Theorem for theBenchmark.p
% 3.92/1.12
% 3.92/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.92/1.12
% 3.92/1.12 ------ iProver source info
% 3.92/1.12
% 3.92/1.12 git: date: 2024-05-02 19:28:25 +0000
% 3.92/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.92/1.12 git: non_committed_changes: false
% 3.92/1.12
% 3.92/1.12 ------ Parsing...
% 3.92/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.92/1.12
% 3.92/1.12 ------ Preprocessing... sup_sim: 5 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
% 3.92/1.12
% 3.92/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.92/1.12
% 3.92/1.12 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.92/1.12 ------ Proving...
% 3.92/1.12 ------ Problem Properties
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12 clauses 50
% 3.92/1.12 conjectures 0
% 3.92/1.12 EPR 19
% 3.92/1.12 Horn 45
% 3.92/1.12 unary 19
% 3.92/1.12 binary 19
% 3.92/1.12 lits 93
% 3.92/1.12 lits eq 28
% 3.92/1.12 fd_pure 0
% 3.92/1.12 fd_pseudo 0
% 3.92/1.12 fd_cond 0
% 3.92/1.12 fd_pseudo_cond 5
% 3.92/1.12 AC symbols 1
% 3.92/1.12
% 3.92/1.12 ------ Schedule dynamic 5 is on
% 3.92/1.12
% 3.92/1.12 ------ no conjectures: strip conj schedule
% 3.92/1.12
% 3.92/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12 ------
% 3.92/1.12 Current options:
% 3.92/1.12 ------
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12 ------ Proving...
% 3.92/1.12
% 3.92/1.12
% 3.92/1.12 % SZS status Theorem for theBenchmark.p
% 3.92/1.12
% 3.92/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.92/1.12
% 3.92/1.12
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