TSTP Solution File: RNG124+4 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG124+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 13:55:27 EDT 2023
% Result : Theorem 3.68s 1.16s
% Output : CNFRefutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 99 ( 36 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 109 ( 32 ~; 22 |; 51 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn; 12 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
fof(f50,axiom,
( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr )
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& aElement0(xr)
& aElement0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).
fof(f51,axiom,
sz00 != xr,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2673) ).
fof(f55,axiom,
( aElementOf0(xr,xI)
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xr
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2729) ).
fof(f69,plain,
( ! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(rectify,[],[f45]) ).
fof(f127,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f128,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(flattening,[],[f127]) ).
fof(f214,plain,
( ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
=> ( xu = sdtpldt0(sK41,sK42)
& aElementOf0(sK42,slsdtgt0(xb))
& aElementOf0(sK41,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& xu = sdtpldt0(sK41,sK42)
& aElementOf0(sK42,slsdtgt0(xb))
& aElementOf0(sK41,slsdtgt0(xa)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42])],[f128,f214]) ).
fof(f227,plain,
( ? [X0,X1] :
( sdtpldt0(X0,X1) = xr
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) )
=> ( xr = sdtpldt0(sK52,sK53)
& aElementOf0(sK53,slsdtgt0(xb))
& aElementOf0(sK52,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
( aElementOf0(xr,xI)
& xr = sdtpldt0(sK52,sK53)
& aElementOf0(sK53,slsdtgt0(xb))
& aElementOf0(sK52,slsdtgt0(xa)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53])],[f55,f227]) ).
fof(f387,plain,
! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f215]) ).
fof(f405,plain,
( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| sz00 = xr ),
inference(cnf_transformation,[],[f50]) ).
fof(f406,plain,
sz00 != xr,
inference(cnf_transformation,[],[f51]) ).
fof(f422,plain,
aElementOf0(xr,xI),
inference(cnf_transformation,[],[f228]) ).
cnf(c_201,plain,
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ~ aElementOf0(X0,xI)
| X0 = sz00 ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_222,plain,
( sz00 = xr
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_226,plain,
sz00 != xr,
inference(cnf_transformation,[],[f406]) ).
cnf(c_239,plain,
aElementOf0(xr,xI),
inference(cnf_transformation,[],[f422]) ).
cnf(c_360,plain,
iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
inference(global_subsumption_just,[status(thm)],[c_222,c_226,c_222]) ).
cnf(c_14049,plain,
( ~ aElementOf0(xr,xI)
| sz00 = xr ),
inference(superposition,[status(thm)],[c_360,c_201]) ).
cnf(c_14050,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14049,c_226,c_239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG124+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Sun Aug 27 01:50:42 EDT 2023
% 0.12/0.34 % 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
% 3.68/1.16 % SZS status Started for theBenchmark.p
% 3.68/1.16 % SZS status Theorem for theBenchmark.p
% 3.68/1.16
% 3.68/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.68/1.16
% 3.68/1.16 ------ iProver source info
% 3.68/1.16
% 3.68/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.68/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.68/1.16 git: non_committed_changes: false
% 3.68/1.16 git: last_make_outside_of_git: false
% 3.68/1.16
% 3.68/1.16 ------ Parsing...
% 3.68/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.68/1.16
% 3.68/1.16 ------ Preprocessing... sup_sim: 3 sf_s rm: 2 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
% 3.68/1.16
% 3.68/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.68/1.16
% 3.68/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.68/1.16 ------ Proving...
% 3.68/1.16 ------ Problem Properties
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16 clauses 181
% 3.68/1.16 conjectures 0
% 3.68/1.16 EPR 49
% 3.68/1.16 Horn 154
% 3.68/1.16 unary 69
% 3.68/1.16 binary 33
% 3.68/1.16 lits 463
% 3.68/1.16 lits eq 77
% 3.68/1.16 fd_pure 0
% 3.68/1.16 fd_pseudo 0
% 3.68/1.16 fd_cond 5
% 3.68/1.16 fd_pseudo_cond 11
% 3.68/1.16 AC symbols 0
% 3.68/1.16
% 3.68/1.16 ------ Schedule dynamic 5 is on
% 3.68/1.16
% 3.68/1.16 ------ no conjectures: strip conj schedule
% 3.68/1.16
% 3.68/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16 ------
% 3.68/1.16 Current options:
% 3.68/1.16 ------
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16 ------ Proving...
% 3.68/1.16
% 3.68/1.16
% 3.68/1.16 % SZS status Theorem for theBenchmark.p
% 3.68/1.16
% 3.68/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.68/1.16
% 3.68/1.16
%------------------------------------------------------------------------------