TSTP Solution File: RNG073+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG073+1 : TPTP v8.1.2. Released v4.0.0.
% 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 02:57:31 EDT 2024
% Result : Theorem 4.34s 1.21s
% Output : CNFRefutation 4.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 23 unt; 0 def)
% Number of atoms : 153 ( 30 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 180 ( 84 ~; 79 |; 11 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 32 !; 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(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
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(f59,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2405) ).
fof(f62,axiom,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2628) ).
fof(f63,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2654) ).
fof(f64,conjecture,
sdtpldt0(xP,xP) = sdtpldt0(xR,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f65,negated_conjecture,
sdtpldt0(xP,xP) != sdtpldt0(xR,xS),
inference(negated_conjecture,[],[f64]) ).
fof(f71,plain,
sdtpldt0(xP,xP) != sdtpldt0(xR,xS),
inference(flattening,[],[f65]) ).
fof(f78,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f79,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f81,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f80]) ).
fof(f95,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f96,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f95]) ).
fof(f108,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f109,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f108]) ).
fof(f141,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f142,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f163,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f171,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
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(f220,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cnf_transformation,[],[f59]) ).
fof(f223,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f62]) ).
fof(f224,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f62]) ).
fof(f225,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[],[f63]) ).
fof(f226,plain,
sdtpldt0(xP,xP) != sdtpldt0(xR,xS),
inference(cnf_transformation,[],[f71]) ).
cnf(c_57,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_58,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_79,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_87,plain,
( sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_126,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f209]) ).
cnf(c_128,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f211]) ).
cnf(c_130,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f213]) ).
cnf(c_136,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cnf_transformation,[],[f220]) ).
cnf(c_139,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f224]) ).
cnf(c_140,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f223]) ).
cnf(c_141,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[],[f225]) ).
cnf(c_142,negated_conjecture,
sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
inference(cnf_transformation,[],[f226]) ).
cnf(c_1144,negated_conjecture,
sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
inference(subtyping,[status(esa)],[c_142]) ).
cnf(c_1197,plain,
( sdtasdt0(X0_15,X0_15) != sdtasdt0(X1_15,X1_15)
| ~ sdtlseqdt0(sz0z00,X0_15)
| ~ sdtlseqdt0(sz0z00,X1_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| X0_15 = X1_15 ),
inference(subtyping,[status(esa)],[c_87]) ).
cnf(c_1205,plain,
( ~ sdtlseqdt0(X0_15,X1_15)
| ~ sdtlseqdt0(X1_15,X0_15)
| ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| X0_15 = X1_15 ),
inference(subtyping,[status(esa)],[c_79]) ).
cnf(c_1225,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtasdt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_1226,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtpldt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_2407,plain,
( sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) != sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| sdtpldt0(xR,xS) = sdtpldt0(xP,xP) ),
inference(instantiation,[status(thm)],[c_1197]) ).
cnf(c_2492,plain,
( ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[c_1226]) ).
cnf(c_2684,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[c_1226]) ).
cnf(c_2685,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) = sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[c_1205]) ).
cnf(c_3015,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
inference(instantiation,[status(thm)],[c_1225]) ).
cnf(c_3483,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
inference(instantiation,[status(thm)],[c_1225]) ).
cnf(c_3484,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_3483,c_3015,c_2685,c_2684,c_2492,c_2407,c_1144,c_136,c_141,c_139,c_140,c_126,c_128,c_130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG073+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 2 21:55:01 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.47 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
% 4.34/1.21 % SZS status Started for theBenchmark.p
% 4.34/1.21 % SZS status Theorem for theBenchmark.p
% 4.34/1.21
% 4.34/1.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.34/1.21
% 4.34/1.21 ------ iProver source info
% 4.34/1.21
% 4.34/1.21 git: date: 2024-05-02 19:28:25 +0000
% 4.34/1.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.34/1.21 git: non_committed_changes: false
% 4.34/1.21
% 4.34/1.21 ------ Parsing...
% 4.34/1.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.34/1.21
% 4.34/1.21 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 4.34/1.21
% 4.34/1.21 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.34/1.21
% 4.34/1.21 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 4.34/1.21 ------ Proving...
% 4.34/1.21 ------ Problem Properties
% 4.34/1.21
% 4.34/1.21
% 4.34/1.21 clauses 96
% 4.34/1.21 conjectures 1
% 4.34/1.21 EPR 25
% 4.34/1.21 Horn 84
% 4.34/1.21 unary 45
% 4.34/1.21 binary 17
% 4.34/1.21 lits 228
% 4.34/1.21 lits eq 68
% 4.34/1.21 fd_pure 0
% 4.34/1.21 fd_pseudo 0
% 4.34/1.21 fd_cond 1
% 4.34/1.21 fd_pseudo_cond 5
% 4.34/1.21 AC symbols 0
% 4.34/1.21
% 4.34/1.21 ------ Input Options Time Limit: Unbounded
% 4.34/1.21
% 4.34/1.21
% 4.34/1.21 ------
% 4.34/1.21 Current options:
% 4.34/1.21 ------
% 4.34/1.21
% 4.34/1.21
% 4.34/1.21
% 4.34/1.21
% 4.34/1.21 ------ Proving...
% 4.34/1.21
% 4.34/1.21
% 4.34/1.21 % SZS status Theorem for theBenchmark.p
% 4.34/1.21
% 4.34/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.34/1.21
% 4.34/1.22
%------------------------------------------------------------------------------