TSTP Solution File: RNG076+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 02:57:32 EDT 2024
% Result : Theorem 7.65s 1.65s
% Output : CNFRefutation 7.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 30 unt; 0 def)
% Number of atoms : 174 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 198 ( 95 ~; 85 |; 13 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 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 : 53 ( 0 sgn 35 !; 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(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
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(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(f88,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
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(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(f158,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f88]) ).
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(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_78,plain,
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f158]) ).
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_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_1137,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_1194,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_1197,plain,
( ~ aScalar0(X0_15)
| sdtlseqdt0(X0_15,X0_15) ),
inference(subtyping,[status(esa)],[c_78]) ).
cnf(c_1216,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtasdt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_1217,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtpldt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_2679,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))
| sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
inference(instantiation,[status(thm)],[c_1194]) ).
cnf(c_2810,plain,
( ~ aScalar0(xE)
| aScalar0(sdtasdt0(xE,xE)) ),
inference(instantiation,[status(thm)],[c_1216]) ).
cnf(c_3182,plain,
( ~ aScalar0(xC)
| ~ aScalar0(xD)
| aScalar0(sdtasdt0(xC,xD)) ),
inference(instantiation,[status(thm)],[c_1216]) ).
cnf(c_3185,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtasdt0(xH,xH))
| aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[c_1217]) ).
cnf(c_3895,plain,
( ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[c_1216]) ).
cnf(c_3907,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(xH,xH))
| aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[c_1217]) ).
cnf(c_6057,plain,
( ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[c_1217]) ).
cnf(c_6101,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[c_1217]) ).
cnf(c_11008,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_1194]) ).
cnf(c_11349,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_1194,c_1137]) ).
cnf(c_12351,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))),
inference(global_subsumption_just,[status(thm)],[c_11349,c_134,c_132,c_130,c_128,c_122,c_120,c_118,c_137,c_139,c_2679,c_2810,c_3182,c_3185,c_3895,c_3907,c_6057,c_6101]) ).
cnf(c_12357,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)) ),
inference(superposition,[status(thm)],[c_1194,c_12351]) ).
cnf(c_12408,plain,
~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH)),
inference(global_subsumption_just,[status(thm)],[c_12357,c_134,c_132,c_130,c_128,c_122,c_120,c_118,c_138,c_137,c_139,c_2679,c_2810,c_3182,c_3185,c_3895,c_3907,c_6057,c_6101,c_11008]) ).
cnf(c_12414,plain,
~ aScalar0(sdtasdt0(xH,xH)),
inference(superposition,[status(thm)],[c_1197,c_12408]) ).
cnf(c_12415,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12414,c_3895,c_128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 21:40:03 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 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
% 7.65/1.65 % SZS status Started for theBenchmark.p
% 7.65/1.65 % SZS status Theorem for theBenchmark.p
% 7.65/1.65
% 7.65/1.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.65/1.65
% 7.65/1.65 ------ iProver source info
% 7.65/1.65
% 7.65/1.65 git: date: 2024-05-02 19:28:25 +0000
% 7.65/1.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.65/1.65 git: non_committed_changes: false
% 7.65/1.65
% 7.65/1.65 ------ Parsing...
% 7.65/1.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.65/1.65
% 7.65/1.65 ------ Preprocessing... sup_sim: 0 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
% 7.65/1.65
% 7.65/1.65 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.65/1.65
% 7.65/1.65 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 7.65/1.65 ------ Proving...
% 7.65/1.65 ------ Problem Properties
% 7.65/1.65
% 7.65/1.65
% 7.65/1.65 clauses 93
% 7.65/1.65 conjectures 1
% 7.65/1.65 EPR 25
% 7.65/1.65 Horn 81
% 7.65/1.65 unary 40
% 7.65/1.65 binary 19
% 7.65/1.65 lits 227
% 7.65/1.65 lits eq 71
% 7.65/1.65 fd_pure 0
% 7.65/1.65 fd_pseudo 0
% 7.65/1.65 fd_cond 1
% 7.65/1.65 fd_pseudo_cond 5
% 7.65/1.65 AC symbols 0
% 7.65/1.65
% 7.65/1.65 ------ Input Options Time Limit: Unbounded
% 7.65/1.65
% 7.65/1.65
% 7.65/1.65 ------
% 7.65/1.65 Current options:
% 7.65/1.65 ------
% 7.65/1.65
% 7.65/1.65
% 7.65/1.65
% 7.65/1.65
% 7.65/1.65 ------ Proving...
% 7.65/1.65
% 7.65/1.65
% 7.65/1.65 % SZS status Theorem for theBenchmark.p
% 7.65/1.65
% 7.65/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.65/1.65
% 7.65/1.65
%------------------------------------------------------------------------------