TSTP Solution File: RNG076+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 13:55:07 EDT 2023
% Result : Theorem 3.75s 1.15s
% Output : CNFRefutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 27 unt; 0 def)
% Number of atoms : 175 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 195 ( 88 ~; 88 |; 14 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn; 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).
fof(f57,axiom,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1983) ).
fof(f58,conjecture,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f59,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(negated_conjecture,[],[f58]) ).
fof(f65,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(flattening,[],[f59]) ).
fof(f72,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f73,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f74]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f93]) ).
fof(f97,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f98,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f97]) ).
fof(f137,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f138,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f163,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f197,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f199,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f201,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f207,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f209,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f211,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f213,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f217,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f218,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f57]) ).
fof(f219,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(cnf_transformation,[],[f65]) ).
cnf(c_57,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_58,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_81,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_83,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_118,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f197]) ).
cnf(c_120,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f199]) ).
cnf(c_122,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f201]) ).
cnf(c_128,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f207]) ).
cnf(c_130,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f209]) ).
cnf(c_132,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f211]) ).
cnf(c_134,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f213]) ).
cnf(c_137,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f217]) ).
cnf(c_138,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f218]) ).
cnf(c_139,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(cnf_transformation,[],[f219]) ).
cnf(c_350,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(subtyping,[status(esa)],[c_139]) ).
cnf(c_405,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtlseqdt0(X0_15,X1_15)
| sdtlseqdt0(X1_15,X0_15) ),
inference(subtyping,[status(esa)],[c_83]) ).
cnf(c_407,plain,
( ~ sdtlseqdt0(X0_15,X1_15)
| ~ sdtlseqdt0(X2_15,X3_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| ~ aScalar0(X3_15)
| sdtlseqdt0(sdtpldt0(X0_15,X2_15),sdtpldt0(X1_15,X3_15)) ),
inference(subtyping,[status(esa)],[c_81]) ).
cnf(c_429,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtasdt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_430,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtpldt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_1571,plain,
( ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtasdt0(xH,xH))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[c_407]) ).
cnf(c_1705,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtasdt0(xH,xH))
| aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[c_430]) ).
cnf(c_2243,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_405]) ).
cnf(c_2634,plain,
( ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_429]) ).
cnf(c_2813,plain,
( ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[c_430]) ).
cnf(c_3103,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(superposition,[status(thm)],[c_407,c_350]) ).
cnf(c_5475,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(xH,xH))
| aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[c_430]) ).
cnf(c_7207,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[c_430]) ).
cnf(c_7213,plain,
( ~ aScalar0(xE)
| aScalar0(sdtasdt0(xE,xE)) ),
inference(instantiation,[status(thm)],[c_429]) ).
cnf(c_9452,plain,
( ~ aScalar0(xC)
| ~ aScalar0(xD)
| aScalar0(sdtasdt0(xC,xD)) ),
inference(instantiation,[status(thm)],[c_429]) ).
cnf(c_9453,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9452,c_7213,c_7207,c_5475,c_3103,c_2813,c_2634,c_2243,c_1705,c_1571,c_137,c_138,c_118,c_120,c_122,c_128,c_130,c_132,c_134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 01:49:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.75/1.15 % SZS status Started for theBenchmark.p
% 3.75/1.15 % SZS status Theorem for theBenchmark.p
% 3.75/1.15
% 3.75/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.75/1.15
% 3.75/1.15 ------ iProver source info
% 3.75/1.15
% 3.75/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.75/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.75/1.15 git: non_committed_changes: false
% 3.75/1.15 git: last_make_outside_of_git: false
% 3.75/1.15
% 3.75/1.15 ------ Parsing...
% 3.75/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.75/1.15
% 3.75/1.15 ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe_e sup_sim: 0 pe_s pe_e
% 3.75/1.15
% 3.75/1.15 ------ Preprocessing... gs_s sp: 4 0s gs_e scvd_s sp: 0 0s scvd_e snvd_s sp: 0 0s snvd_e
% 3.75/1.15
% 3.75/1.15 ------ Preprocessing...
% 3.75/1.15 ------ Proving...
% 3.75/1.15 ------ Problem Properties
% 3.75/1.15
% 3.75/1.15
% 3.75/1.15 clauses 93
% 3.75/1.15 conjectures 1
% 3.75/1.15 EPR 25
% 3.75/1.15 Horn 81
% 3.75/1.15 unary 40
% 3.75/1.15 binary 19
% 3.75/1.15 lits 227
% 3.75/1.15 lits eq 71
% 3.75/1.15 fd_pure 0
% 3.75/1.15 fd_pseudo 0
% 3.75/1.15 fd_cond 1
% 3.75/1.15 fd_pseudo_cond 5
% 3.75/1.15 AC symbols 0
% 3.75/1.15
% 3.75/1.15 ------ Input Options Time Limit: Unbounded
% 3.75/1.15
% 3.75/1.15
% 3.75/1.15 ------
% 3.75/1.15 Current options:
% 3.75/1.15 ------
% 3.75/1.15
% 3.75/1.15
% 3.75/1.15
% 3.75/1.15
% 3.75/1.15 ------ Proving...
% 3.75/1.15
% 3.75/1.15
% 3.75/1.15 % SZS status Theorem for theBenchmark.p
% 3.75/1.15
% 3.75/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.75/1.15
% 3.75/1.16
%------------------------------------------------------------------------------