TSTP Solution File: NUM846+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM846+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 02:50:53 EDT 2024
% Result : Theorem 1.60s 1.11s
% Output : CNFRefutation 1.60s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f149)
% Comments :
%------------------------------------------------------------------------------
fof(f144,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK1(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK2(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK3(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
cnf(c_49,negated_conjecture,
vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) != vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(cnf_transformation,[],[f149]) ).
cnf(c_52,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
inference(cnf_transformation,[],[f152]) ).
cnf(c_102,plain,
vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f203]) ).
fof(f40,axiom,
! [X58,X59] :
( greater(X59,X58)
<=> ? [X60] : vplus(X58,X60) = X59 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f234,plain,
! [X2,X0] : greater(vplus(X0,X2),X0),
inference(equality_resolution,[],[f196]) ).
fof(f49,axiom,
! [X74] : vplus(v1,X74) = vsucc(X74),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f213,plain,
! [X0] : v1 != vsucc(X0),
inference(cnf_transformation,[],[f104]) ).
fof(f88,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f40]) ).
fof(f97,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f49]) ).
fof(f99,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f51]) ).
fof(f100,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f52]) ).
fof(f101,plain,
! [X0] : vsucc(X0) != X0,
inference(rectify,[],[f53]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
=> vsucc(X0) != vsucc(X1) ),
inference(rectify,[],[f54]) ).
fof(f103,plain,
! [X0,X1] :
( vsucc(X0) = vsucc(X1)
=> X0 = X1 ),
inference(rectify,[],[f55]) ).
fof(f104,plain,
! [X0] : v1 != vsucc(X0),
inference(rectify,[],[f56]) ).
fof(f131,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f100]) ).
fof(f132,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f102]) ).
fof(f133,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f142,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f143,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f142]) ).
fof(f145,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])],[f143,f144]) ).
fof(f41,axiom,
! [X61,X62] :
( ? [X64] : vplus(X61,X64) = X62
| ? [X63] : vplus(X62,X63) = X61
| X61 = X62 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof(f195,plain,
! [X0,X1] :
( vplus(X0,sK1(X0,X1)) = X1
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| X0 = X1 ),
inference(rectify,[],[f41]) ).
fof(f148,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])],[f89,f147,f146]) ).
fof(f42,axiom,
! [X61,X62] :
( ~ ? [X64] : vplus(X61,X64) = X62
| X61 != X62 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof(f197,plain,
! [X0,X1] :
( vplus(X0,sK2(X0,X1)) = X1
| vplus(X1,sK3(X0,X1)) = X0
| X0 = X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f90,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| X0 != X1 ),
inference(rectify,[],[f42]) ).
fof(f127,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| X0 != X1 ),
inference(ennf_transformation,[],[f90]) ).
fof(f196,plain,
! [X2,X0,X1] :
( greater(X1,X0)
| vplus(X0,X2) != X1 ),
inference(cnf_transformation,[],[f145]) ).
fof(f198,plain,
! [X2,X0,X1] :
( vplus(X0,X2) != X1
| X0 != X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f43,axiom,
! [X61,X62] :
( ~ ? [X64] : vplus(X61,X64) = X62
| ~ ? [X63] : vplus(X62,X63) = X61 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof(f235,plain,
! [X2,X0] : vplus(X0,X2) != X0,
inference(equality_resolution,[],[f198]) ).
fof(f91,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| ~ ? [X3] : vplus(X1,X3) = X0 ),
inference(rectify,[],[f43]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| ! [X3] : vplus(X1,X3) != X0 ),
inference(ennf_transformation,[],[f91]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) != X1
| vplus(X1,X3) != X0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f44,axiom,
! [X61,X62] :
( ~ ? [X63] : vplus(X62,X63) = X61
| X61 != X62 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof(f236,plain,
! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0,
inference(equality_resolution,[],[f199]) ).
fof(f92,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X1,X2) = X0
| X0 != X1 ),
inference(rectify,[],[f44]) ).
fof(f129,plain,
! [X0,X1] :
( ! [X2] : vplus(X1,X2) != X0
| X0 != X1 ),
inference(ennf_transformation,[],[f92]) ).
fof(f200,plain,
! [X2,X0,X1] :
( vplus(X1,X2) != X0
| X0 != X1 ),
inference(cnf_transformation,[],[f129]) ).
fof(f45,axiom,
! [X65,X66] :
( X65 != X66
=> ! [X67] : vplus(X67,X65) != vplus(X67,X66) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof(f237,plain,
! [X2,X1] : vplus(X1,X2) != X1,
inference(equality_resolution,[],[f200]) ).
fof(f93,plain,
! [X0,X1] :
( X0 != X1
=> ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
inference(rectify,[],[f45]) ).
fof(f130,plain,
! [X0,X1] :
( ! [X2] : vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f93]) ).
fof(f46,axiom,
! [X68,X69] : vplus(X68,X69) != X69,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof(f201,plain,
! [X2,X0,X1] :
( vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f94,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(rectify,[],[f46]) ).
fof(f47,axiom,
! [X70,X71] : vplus(X71,X70) = vplus(X70,X71),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f202,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(cnf_transformation,[],[f94]) ).
fof(f95,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f47]) ).
fof(f48,axiom,
! [X72,X73] : vplus(vsucc(X72),X73) = vsucc(vplus(X72,X73)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof(f203,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f95]) ).
fof(f96,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(rectify,[],[f48]) ).
fof(f204,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f96]) ).
fof(f205,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f97]) ).
fof(f50,axiom,
! [X75,X76,X77] : vplus(vplus(X75,X76),X77) = vplus(X75,vplus(X76,X77)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f220,plain,
! [X0,X1] : vplus(vplus(v1,X0),X1) = vplus(v1,vplus(X0,X1)),
inference(definition_unfolding,[],[f204,f205,f205]) ).
fof(f98,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f50]) ).
fof(f206,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f98]) ).
fof(f207,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f99]) ).
fof(f52,axiom,
! [X80] :
( v1 != X80
=> vsucc(vskolem2(X80)) = X80 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f222,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f207,f205,f205]) ).
fof(f208,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f99]) ).
fof(f51,axiom,
! [X78,X79] :
( vplus(X78,v1) = vsucc(X78)
& vplus(X78,vsucc(X79)) = vsucc(vplus(X78,X79)) ),
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(f221,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f208,f205]) ).
fof(f209,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f53,axiom,
! [X81] : vsucc(X81) != X81,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof(f223,plain,
! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ),
inference(definition_unfolding,[],[f209,f205]) ).
fof(f210,plain,
! [X0] : vsucc(X0) != X0,
inference(cnf_transformation,[],[f101]) ).
fof(f54,axiom,
! [X82,X83] :
( X82 != X83
=> vsucc(X82) != vsucc(X83) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof(f224,plain,
! [X0] : vplus(v1,X0) != X0,
inference(definition_unfolding,[],[f210,f205]) ).
fof(f211,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f132]) ).
fof(f55,axiom,
! [X84,X85] :
( vsucc(X84) = vsucc(X85)
=> X84 = X85 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof(f225,plain,
! [X0,X1] :
( vplus(v1,X0) != vplus(v1,X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f211,f205,f205]) ).
fof(f212,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f56,axiom,
! [X86] : v1 != vsucc(X86),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof(f226,plain,
! [X0,X1] :
( X0 = X1
| vplus(v1,X0) != vplus(v1,X1) ),
inference(definition_unfolding,[],[f212,f205,f205]) ).
cnf(c_104,plain,
vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f206]) ).
cnf(c_136,negated_conjecture,
vplus(vd436,vplus(vmul(vd436,vd437),vmul(vd436,vd439))) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
inference(theory_normalisation,[status(thm)],[c_49,c_104,c_102]) ).
cnf(c_464,plain,
$false,
inference(ac_demodulation,[status(thm)],[c_136,c_52,c_104,c_102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : NUM846+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n026.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 : Thu May 2 19:56:51 EDT 2024
% 0.10/0.31 % 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
% 1.60/1.11 % SZS status Started for theBenchmark.p
% 1.60/1.11 % SZS status Theorem for theBenchmark.p
% 1.60/1.11
% 1.60/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.60/1.11
% 1.60/1.11 ------ iProver source info
% 1.60/1.11
% 1.60/1.11 git: date: 2024-05-02 19:28:25 +0000
% 1.60/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.60/1.11 git: non_committed_changes: false
% 1.60/1.11
% 1.60/1.11 ------ Parsing...
% 1.60/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.60/1.11
% 1.60/1.11 ------ Preprocessing...
% 1.60/1.11
% 1.60/1.11 % SZS status Theorem for theBenchmark.p
% 1.60/1.11
% 1.60/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.60/1.12
% 1.60/1.12
%------------------------------------------------------------------------------