TSTP Solution File: NUM454+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM454+1 : TPTP v8.1.2. Released v4.0.0.
% 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 02:49:21 EDT 2024
% Result : Theorem 17.27s 3.11s
% Output : CNFRefutation 17.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(f16,axiom,
! [X0] :
( aInteger0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
fof(f17,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroDiv) ).
fof(f46,axiom,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))
& sz00 != xp
& aInteger0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).
fof(f49,conjecture,
( smndt0(sz10) != sdtpldt0(sz10,smndt0(xp))
| smndt0(sz10) != sdtpldt0(sz10,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f50,negated_conjecture,
~ ( smndt0(sz10) != sdtpldt0(sz10,smndt0(xp))
| smndt0(sz10) != sdtpldt0(sz10,xp) ),
inference(negated_conjecture,[],[f49]) ).
fof(f57,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f62,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f63,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f62]) ).
fof(f66,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f67,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f73]) ).
fof(f76,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f77,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f78,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(flattening,[],[f77]) ).
fof(f113,plain,
( smndt0(sz10) = sdtpldt0(sz10,smndt0(xp))
& smndt0(sz10) = sdtpldt0(sz10,xp) ),
inference(ennf_transformation,[],[f50]) ).
fof(f183,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f184,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f187,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f190,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f192,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f198,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f201,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f203,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f295,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f46]) ).
fof(f296,plain,
sz00 != xp,
inference(cnf_transformation,[],[f46]) ).
fof(f302,plain,
smndt0(sz10) = sdtpldt0(sz10,xp),
inference(cnf_transformation,[],[f113]) ).
fof(f303,plain,
smndt0(sz10) = sdtpldt0(sz10,smndt0(xp)),
inference(cnf_transformation,[],[f113]) ).
cnf(c_50,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f183]) ).
cnf(c_51,plain,
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_54,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f187]) ).
cnf(c_56,plain,
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_58,plain,
( ~ aInteger0(X0)
| sdtpldt0(smndt0(X0),X0) = sz00 ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_64,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_69,plain,
( ~ aInteger0(X0)
| sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ),
inference(cnf_transformation,[],[f201]) ).
cnf(c_70,plain,
( sdtasdt0(X0,X1) != sz00
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| X0 = sz00
| X1 = sz00 ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_162,plain,
sz00 != xp,
inference(cnf_transformation,[],[f296]) ).
cnf(c_163,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f295]) ).
cnf(c_168,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
inference(cnf_transformation,[],[f303]) ).
cnf(c_169,negated_conjecture,
sdtpldt0(sz10,xp) = smndt0(sz10),
inference(cnf_transformation,[],[f302]) ).
cnf(c_8463,plain,
sdtpldt0(sz10,xp) = sP0_iProver_def,
definition ).
cnf(c_8464,plain,
smndt0(sz10) = sP1_iProver_def,
definition ).
cnf(c_8465,plain,
smndt0(xp) = sP2_iProver_def,
definition ).
cnf(c_8466,plain,
sdtpldt0(sz10,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_8467,negated_conjecture,
sP0_iProver_def = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_169,c_8464,c_8463]) ).
cnf(c_8468,negated_conjecture,
sP3_iProver_def = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_168,c_8465,c_8466]) ).
cnf(c_10376,plain,
sP0_iProver_def = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_8468,c_8467]) ).
cnf(c_10379,plain,
smndt0(sz10) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_8464,c_8467]) ).
cnf(c_10382,plain,
( ~ aInteger0(sz10)
| aInteger0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_10379,c_51]) ).
cnf(c_10383,plain,
( ~ aInteger0(xp)
| aInteger0(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_8465,c_51]) ).
cnf(c_10384,plain,
aInteger0(sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_10383,c_163]) ).
cnf(c_10385,plain,
aInteger0(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_10382,c_50]) ).
cnf(c_10390,plain,
sdtpldt0(sz10,sP2_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_8466,c_10376]) ).
cnf(c_10434,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_163,c_56]) ).
cnf(c_10436,plain,
sdtpldt0(sz00,sP2_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_10384,c_56]) ).
cnf(c_10562,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(sdtpldt0(sP0_iProver_def,X0),X1) = sdtpldt0(sP0_iProver_def,sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_10385,c_54]) ).
cnf(c_10673,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(superposition,[status(thm)],[c_50,c_58]) ).
cnf(c_10677,plain,
sdtpldt0(smndt0(xp),xp) = sz00,
inference(superposition,[status(thm)],[c_163,c_58]) ).
cnf(c_10680,plain,
sdtpldt0(sP2_iProver_def,xp) = sz00,
inference(light_normalisation,[status(thm)],[c_10677,c_8465]) ).
cnf(c_10681,plain,
sdtpldt0(sP0_iProver_def,sz10) = sz00,
inference(light_normalisation,[status(thm)],[c_10673,c_10379]) ).
cnf(c_10711,plain,
( ~ aInteger0(X0)
| sdtpldt0(sdtpldt0(sP0_iProver_def,sz10),X0) = sdtpldt0(sP0_iProver_def,sdtpldt0(sz10,X0)) ),
inference(superposition,[status(thm)],[c_50,c_10562]) ).
cnf(c_10724,plain,
( ~ aInteger0(X0)
| sdtpldt0(sP0_iProver_def,sdtpldt0(sz10,X0)) = sdtpldt0(sz00,X0) ),
inference(light_normalisation,[status(thm)],[c_10711,c_10681]) ).
cnf(c_10758,plain,
sdtpldt0(sP0_iProver_def,sdtpldt0(sz10,xp)) = sdtpldt0(sz00,xp),
inference(superposition,[status(thm)],[c_163,c_10724]) ).
cnf(c_10760,plain,
sdtpldt0(sP0_iProver_def,sdtpldt0(sz10,sP2_iProver_def)) = sdtpldt0(sz00,sP2_iProver_def),
inference(superposition,[status(thm)],[c_10384,c_10724]) ).
cnf(c_10761,plain,
sdtpldt0(sP0_iProver_def,sP0_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_10760,c_10390,c_10436]) ).
cnf(c_10763,plain,
sdtpldt0(sP0_iProver_def,sP0_iProver_def) = xp,
inference(light_normalisation,[status(thm)],[c_10758,c_8463,c_10434]) ).
cnf(c_10887,plain,
xp = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_10763,c_10761]) ).
cnf(c_10889,plain,
sdtpldt0(sP2_iProver_def,sP2_iProver_def) = sz00,
inference(demodulation,[status(thm)],[c_10680,c_10887]) ).
cnf(c_10896,plain,
smndt0(sP2_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_8465,c_10887]) ).
cnf(c_10898,plain,
sz00 != sP2_iProver_def,
inference(demodulation,[status(thm)],[c_162,c_10887]) ).
cnf(c_11331,plain,
( ~ aInteger0(X0)
| sdtasdt0(sP0_iProver_def,X0) = smndt0(X0) ),
inference(light_normalisation,[status(thm)],[c_69,c_10379]) ).
cnf(c_11342,plain,
sdtasdt0(sP0_iProver_def,sP2_iProver_def) = smndt0(sP2_iProver_def),
inference(superposition,[status(thm)],[c_10384,c_11331]) ).
cnf(c_11346,plain,
sdtasdt0(sP0_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_11342,c_10896]) ).
cnf(c_20530,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(sdtasdt0(sP0_iProver_def,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sP0_iProver_def,X0),X1) ),
inference(superposition,[status(thm)],[c_10385,c_64]) ).
cnf(c_52838,plain,
( ~ aInteger0(X0)
| sdtpldt0(sdtasdt0(sP0_iProver_def,X0),sdtasdt0(sP0_iProver_def,X0)) = sdtasdt0(sdtpldt0(sP0_iProver_def,sP0_iProver_def),X0) ),
inference(superposition,[status(thm)],[c_10385,c_20530]) ).
cnf(c_52867,plain,
( ~ aInteger0(X0)
| sdtpldt0(sdtasdt0(sP0_iProver_def,X0),sdtasdt0(sP0_iProver_def,X0)) = sdtasdt0(sP2_iProver_def,X0) ),
inference(light_normalisation,[status(thm)],[c_52838,c_10761]) ).
cnf(c_53785,plain,
sdtpldt0(sdtasdt0(sP0_iProver_def,sP2_iProver_def),sdtasdt0(sP0_iProver_def,sP2_iProver_def)) = sdtasdt0(sP2_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_10384,c_52867]) ).
cnf(c_53811,plain,
sdtasdt0(sP2_iProver_def,sP2_iProver_def) = sz00,
inference(light_normalisation,[status(thm)],[c_53785,c_10889,c_11346]) ).
cnf(c_54292,plain,
( ~ aInteger0(sP2_iProver_def)
| sz00 = sP2_iProver_def ),
inference(superposition,[status(thm)],[c_53811,c_70]) ).
cnf(c_54297,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_54292,c_10898,c_10384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM454+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 19:52:27 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.27/3.11 % SZS status Started for theBenchmark.p
% 17.27/3.11 % SZS status Theorem for theBenchmark.p
% 17.27/3.11
% 17.27/3.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.27/3.11
% 17.27/3.11 ------ iProver source info
% 17.27/3.11
% 17.27/3.11 git: date: 2024-05-02 19:28:25 +0000
% 17.27/3.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.27/3.11 git: non_committed_changes: false
% 17.27/3.11
% 17.27/3.11 ------ Parsing...
% 17.27/3.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.27/3.11
% 17.27/3.11 ------ Preprocessing... sup_sim: 6 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 17.27/3.11
% 17.27/3.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.27/3.11
% 17.27/3.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.27/3.11 ------ Proving...
% 17.27/3.11 ------ Problem Properties
% 17.27/3.11
% 17.27/3.11
% 17.27/3.11 clauses 118
% 17.27/3.11 conjectures 2
% 17.27/3.11 EPR 28
% 17.27/3.11 Horn 80
% 17.27/3.11 unary 16
% 17.27/3.11 binary 18
% 17.27/3.11 lits 410
% 17.27/3.11 lits eq 63
% 17.27/3.11 fd_pure 0
% 17.27/3.11 fd_pseudo 0
% 17.27/3.11 fd_cond 18
% 17.27/3.11 fd_pseudo_cond 9
% 17.27/3.11 AC symbols 0
% 17.27/3.11
% 17.27/3.11 ------ Schedule dynamic 5 is on
% 17.27/3.11
% 17.27/3.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.27/3.11
% 17.27/3.11
% 17.27/3.11 ------
% 17.27/3.11 Current options:
% 17.27/3.11 ------
% 17.27/3.11
% 17.27/3.11
% 17.27/3.11
% 17.27/3.11
% 17.27/3.11 ------ Proving...
% 17.27/3.11
% 17.27/3.11
% 17.27/3.11 % SZS status Theorem for theBenchmark.p
% 17.27/3.11
% 17.27/3.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.27/3.11
% 17.27/3.11
%------------------------------------------------------------------------------