TSTP Solution File: NUM845+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM845+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 11:33:12 EDT 2023
% Result : Theorem 0.48s 1.17s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f239)
% Comments :
%------------------------------------------------------------------------------
fof(f164,plain,
! [X0,X1] :
( ? [X3] : vplus(X0,X3) = X1
=> vplus(X0,sK2(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK3(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0,X1] :
( ? [X3] : vplus(X1,X3) = X0
=> vplus(X1,sK4(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
cnf(c_49,negated_conjecture,
vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(cnf_transformation,[],[f238]) ).
cnf(c_50,negated_conjecture,
vplus(vmul(vd411,sK0),sK0) = vmul(vplus(v1,vd411),sK0),
inference(cnf_transformation,[],[f239]) ).
cnf(c_58,plain,
( vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0)
| vplus(vmul(vplus(v1,vd411),X0),vplus(v1,vd411)) = vmul(vplus(v1,vd411),vplus(v1,X0)) ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_64,plain,
vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(cnf_transformation,[],[f251]) ).
cnf(c_106,plain,
vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f227]) ).
fof(f43,axiom,
! [X56,X57] :
( greater(X57,X56)
<=> ? [X58] : vplus(X56,X58) = X57 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f266,plain,
! [X2,X0] : greater(vplus(X0,X2),X0),
inference(equality_resolution,[],[f220]) ).
fof(f52,axiom,
! [X72] : vplus(v1,X72) = vsucc(X72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f237,plain,
! [X0] : vsucc(X0) != v1,
inference(cnf_transformation,[],[f113]) ).
fof(f97,plain,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : vplus(X0,X2) = X1 ),
inference(rectify,[],[f43]) ).
fof(f106,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f52]) ).
fof(f108,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f54]) ).
fof(f109,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f55]) ).
fof(f110,plain,
! [X0] : vsucc(X0) != X0,
inference(rectify,[],[f56]) ).
fof(f111,plain,
! [X0,X1] :
( X0 != X1
=> vsucc(X0) != vsucc(X1) ),
inference(rectify,[],[f57]) ).
fof(f112,plain,
! [X0,X1] :
( vsucc(X0) = vsucc(X1)
=> X0 = X1 ),
inference(rectify,[],[f58]) ).
fof(f113,plain,
! [X0] : vsucc(X0) != v1,
inference(rectify,[],[f59]) ).
fof(f149,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f109]) ).
fof(f150,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f111]) ).
fof(f151,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(ennf_transformation,[],[f112]) ).
fof(f162,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : vplus(X0,X2) = X1
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f97]) ).
fof(f163,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f162]) ).
fof(f165,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])],[f163,f164]) ).
fof(f44,axiom,
! [X59,X60] :
( ? [X62] : vplus(X59,X62) = X60
| ? [X61] : vplus(X60,X61) = X59
| X59 = X60 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof(f219,plain,
! [X0,X1] :
( vplus(X0,sK2(X0,X1)) = X1
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
| ? [X3] : vplus(X1,X3) = X0
| X0 = X1 ),
inference(rectify,[],[f44]) ).
fof(f168,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])],[f98,f167,f166]) ).
fof(f45,axiom,
! [X59,X60] :
( ~ ? [X62] : vplus(X59,X62) = X60
| X59 != X60 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof(f221,plain,
! [X0,X1] :
( vplus(X0,sK3(X0,X1)) = X1
| vplus(X1,sK4(X0,X1)) = X0
| X0 = X1 ),
inference(cnf_transformation,[],[f168]) ).
fof(f99,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| X0 != X1 ),
inference(rectify,[],[f45]) ).
fof(f145,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| X0 != X1 ),
inference(ennf_transformation,[],[f99]) ).
fof(f220,plain,
! [X2,X0,X1] :
( greater(X1,X0)
| vplus(X0,X2) != X1 ),
inference(cnf_transformation,[],[f165]) ).
fof(f222,plain,
! [X2,X0,X1] :
( vplus(X0,X2) != X1
| X0 != X1 ),
inference(cnf_transformation,[],[f145]) ).
fof(f46,axiom,
! [X59,X60] :
( ~ ? [X62] : vplus(X59,X62) = X60
| ~ ? [X61] : vplus(X60,X61) = X59 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof(f267,plain,
! [X2,X0] : vplus(X0,X2) != X0,
inference(equality_resolution,[],[f222]) ).
fof(f100,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X0,X2) = X1
| ~ ? [X3] : vplus(X1,X3) = X0 ),
inference(rectify,[],[f46]) ).
fof(f146,plain,
! [X0,X1] :
( ! [X2] : vplus(X0,X2) != X1
| ! [X3] : vplus(X1,X3) != X0 ),
inference(ennf_transformation,[],[f100]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( vplus(X0,X2) != X1
| vplus(X1,X3) != X0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f47,axiom,
! [X59,X60] :
( ~ ? [X61] : vplus(X60,X61) = X59
| X59 != X60 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof(f268,plain,
! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0,
inference(equality_resolution,[],[f223]) ).
fof(f101,plain,
! [X0,X1] :
( ~ ? [X2] : vplus(X1,X2) = X0
| X0 != X1 ),
inference(rectify,[],[f47]) ).
fof(f147,plain,
! [X0,X1] :
( ! [X2] : vplus(X1,X2) != X0
| X0 != X1 ),
inference(ennf_transformation,[],[f101]) ).
fof(f224,plain,
! [X2,X0,X1] :
( vplus(X1,X2) != X0
| X0 != X1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f48,axiom,
! [X63,X64] :
( X63 != X64
=> ! [X65] : vplus(X65,X63) != vplus(X65,X64) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof(f269,plain,
! [X2,X1] : vplus(X1,X2) != X1,
inference(equality_resolution,[],[f224]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
=> ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
inference(rectify,[],[f48]) ).
fof(f148,plain,
! [X0,X1] :
( ! [X2] : vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f102]) ).
fof(f49,axiom,
! [X66,X67] : vplus(X66,X67) != X67,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof(f225,plain,
! [X2,X0,X1] :
( vplus(X2,X0) != vplus(X2,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f148]) ).
fof(f103,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(rectify,[],[f49]) ).
fof(f50,axiom,
! [X68,X69] : vplus(X69,X68) = vplus(X68,X69),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f226,plain,
! [X0,X1] : vplus(X0,X1) != X1,
inference(cnf_transformation,[],[f103]) ).
fof(f104,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f50]) ).
fof(f51,axiom,
! [X70,X71] : vplus(vsucc(X70),X71) = vsucc(vplus(X70,X71)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof(f227,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f104]) ).
fof(f105,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(rectify,[],[f51]) ).
fof(f228,plain,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
inference(cnf_transformation,[],[f105]) ).
fof(f229,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f106]) ).
fof(f53,axiom,
! [X73,X74,X75] : vplus(vplus(X73,X74),X75) = vplus(X73,vplus(X74,X75)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f252,plain,
! [X0,X1] : vplus(vplus(v1,X0),X1) = vplus(v1,vplus(X0,X1)),
inference(definition_unfolding,[],[f228,f229,f229]) ).
fof(f107,plain,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f53]) ).
fof(f230,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f107]) ).
fof(f231,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f108]) ).
fof(f55,axiom,
! [X78] :
( v1 != X78
=> vsucc(vskolem2(X78)) = X78 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f254,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f231,f229,f229]) ).
fof(f232,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f108]) ).
fof(f54,axiom,
! [X76,X77] :
( vplus(X76,v1) = vsucc(X76)
& vplus(X76,vsucc(X77)) = vsucc(vplus(X76,X77)) ),
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(f253,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f232,f229]) ).
fof(f233,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f149]) ).
fof(f56,axiom,
! [X79] : vsucc(X79) != X79,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof(f255,plain,
! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ),
inference(definition_unfolding,[],[f233,f229]) ).
fof(f234,plain,
! [X0] : vsucc(X0) != X0,
inference(cnf_transformation,[],[f110]) ).
fof(f57,axiom,
! [X80,X81] :
( X80 != X81
=> vsucc(X80) != vsucc(X81) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof(f256,plain,
! [X0] : vplus(v1,X0) != X0,
inference(definition_unfolding,[],[f234,f229]) ).
fof(f235,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f150]) ).
fof(f58,axiom,
! [X82,X83] :
( vsucc(X82) = vsucc(X83)
=> X82 = X83 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof(f257,plain,
! [X0,X1] :
( vplus(v1,X0) != vplus(v1,X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f235,f229,f229]) ).
fof(f236,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f59,axiom,
! [X84] : v1 != vsucc(X84),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof(f258,plain,
! [X0,X1] :
( X0 = X1
| vplus(v1,X0) != vplus(v1,X1) ),
inference(definition_unfolding,[],[f236,f229,f229]) ).
cnf(c_108,plain,
vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f230]) ).
cnf(c_146,negated_conjecture,
vplus(v1,vplus(sK0,vmul(vd411,vplus(v1,sK0)))) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_49,c_108,c_106]) ).
cnf(c_147,negated_conjecture,
vplus(sK0,vmul(vd411,sK0)) = vmul(vplus(v1,vd411),sK0),
inference(theory_normalisation,[status(thm)],[c_50,c_108,c_106]) ).
cnf(c_150,plain,
( vplus(X0,vmul(vd411,X0)) != vmul(vplus(v1,vd411),X0)
| vplus(v1,vplus(vd411,vmul(vplus(v1,vd411),X0))) = vmul(vplus(v1,vd411),vplus(v1,X0)) ),
inference(theory_normalisation,[status(thm)],[c_58,c_108,c_106]) ).
cnf(c_151,plain,
vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(v1,X1)),
inference(theory_normalisation,[status(thm)],[c_64,c_108,c_106]) ).
cnf(c_484,plain,
vplus(v1,vplus(sK0,vplus(vd411,vmul(vd411,sK0)))) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(demodulation,[status(thm)],[c_146,c_151]) ).
cnf(c_485,plain,
vplus(v1,vplus(vd411,vplus(sK0,vmul(vd411,sK0)))) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_484,c_108,c_106]) ).
cnf(c_1375,plain,
vplus(v1,vplus(vd411,vmul(vplus(v1,vd411),sK0))) = vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(superposition,[status(thm)],[c_147,c_150]) ).
cnf(c_1377,plain,
vplus(v1,vplus(vd411,vplus(sK0,vmul(vd411,sK0)))) = vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(light_normalisation,[status(thm)],[c_1375,c_147]) ).
cnf(c_1378,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1377,c_485]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM845+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 08:44:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.48/1.17 % SZS status Started for theBenchmark.p
% 0.48/1.17 % SZS status Theorem for theBenchmark.p
% 0.48/1.17
% 0.48/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.17
% 0.48/1.17 ------ iProver source info
% 0.48/1.17
% 0.48/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.17 git: non_committed_changes: false
% 0.48/1.17 git: last_make_outside_of_git: false
% 0.48/1.17
% 0.48/1.17 ------ Parsing...
% 0.48/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... sup_sim: 3 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
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.48/1.17
% 0.48/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.48/1.17 ------ Proving...
% 0.48/1.17 ------ Problem Properties
% 0.48/1.17
% 0.48/1.17
% 0.48/1.17 clauses 48
% 0.48/1.17 conjectures 1
% 0.48/1.17 EPR 19
% 0.48/1.17 Horn 43
% 0.48/1.17 unary 16
% 0.48/1.17 binary 20
% 0.48/1.17 lits 92
% 0.48/1.17 lits eq 27
% 0.48/1.17 fd_pure 0
% 0.48/1.17 fd_pseudo 0
% 0.48/1.17 fd_cond 0
% 0.48/1.17 fd_pseudo_cond 5
% 0.48/1.17 AC symbols 1
% 0.48/1.17
% 0.48/1.17 ------ Schedule dynamic 5 is on
% 0.48/1.17
% 0.48/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
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% 0.48/1.17 ------
% 0.48/1.17 Current options:
% 0.48/1.17 ------
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% 0.48/1.17 ------ Proving...
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% 0.48/1.17 % SZS status Theorem for theBenchmark.p
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% 0.48/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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