TSTP Solution File: RNG115+4 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG115+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 13:55:23 EDT 2023
% Result : Theorem 3.57s 1.15s
% Output : CNFRefutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 104 ( 38 equ)
% Maximal formula atoms : 11 ( 5 avg)
% Number of connectives : 125 ( 41 ~; 29 |; 52 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn; 17 !; 26 ?)
% 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(f47,conjecture,
? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& ( aElementOf0(X1,slsdtgt0(xb))
| ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
& ( aElementOf0(X0,slsdtgt0(xa))
| ? [X2] :
( sdtasdt0(xa,X2) = X0
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& ( aElementOf0(X1,slsdtgt0(xb))
| ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
& ( aElementOf0(X0,slsdtgt0(xa))
| ? [X2] :
( sdtasdt0(xa,X2) = X0
& aElement0(X2) ) ) ),
inference(negated_conjecture,[],[f47]) ).
fof(f60,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(f62,plain,
~ ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& ( aElementOf0(X1,slsdtgt0(xb))
| ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
& ( aElementOf0(X0,slsdtgt0(xa))
| ? [X3] :
( sdtasdt0(xa,X3) = X0
& aElement0(X3) ) ) ),
inference(rectify,[],[f48]) ).
fof(f116,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,[],[f60]) ).
fof(f117,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,[],[f116]) ).
fof(f119,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ( ~ aElementOf0(X1,slsdtgt0(xb))
& ! [X2] :
( sdtasdt0(xb,X2) != X1
| ~ aElement0(X2) ) )
| ( ~ aElementOf0(X0,slsdtgt0(xa))
& ! [X3] :
( sdtasdt0(xa,X3) != X0
| ~ aElement0(X3) ) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f203,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(f204,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])],[f117,f203]) ).
fof(f359,plain,
aElementOf0(sK41,slsdtgt0(xa)),
inference(cnf_transformation,[],[f204]) ).
fof(f360,plain,
aElementOf0(sK42,slsdtgt0(xb)),
inference(cnf_transformation,[],[f204]) ).
fof(f361,plain,
xu = sdtpldt0(sK41,sK42),
inference(cnf_transformation,[],[f204]) ).
fof(f375,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_205,plain,
sdtpldt0(sK41,sK42) = xu,
inference(cnf_transformation,[],[f361]) ).
cnf(c_206,plain,
aElementOf0(sK42,slsdtgt0(xb)),
inference(cnf_transformation,[],[f360]) ).
cnf(c_207,plain,
aElementOf0(sK41,slsdtgt0(xa)),
inference(cnf_transformation,[],[f359]) ).
cnf(c_214,negated_conjecture,
( sdtpldt0(X0,X1) != xu
| ~ aElementOf0(X0,slsdtgt0(xa))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_10164,plain,
( ~ aElementOf0(sK41,slsdtgt0(xa))
| ~ aElementOf0(sK42,slsdtgt0(xb)) ),
inference(superposition,[status(thm)],[c_205,c_214]) ).
cnf(c_10165,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_10164,c_206,c_207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG115+4 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 01:29:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.57/1.15 % SZS status Started for theBenchmark.p
% 3.57/1.15 % SZS status Theorem for theBenchmark.p
% 3.57/1.15
% 3.57/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.57/1.15
% 3.57/1.15 ------ iProver source info
% 3.57/1.15
% 3.57/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.57/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.57/1.15 git: non_committed_changes: false
% 3.57/1.15 git: last_make_outside_of_git: false
% 3.57/1.15
% 3.57/1.15 ------ Parsing...
% 3.57/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.57/1.15
% 3.57/1.15 ------ Preprocessing... sup_sim: 1 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
% 3.57/1.15
% 3.57/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.57/1.15
% 3.57/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.57/1.15 ------ Proving...
% 3.57/1.15 ------ Problem Properties
% 3.57/1.15
% 3.57/1.15
% 3.57/1.15 clauses 161
% 3.57/1.15 conjectures 4
% 3.57/1.15 EPR 42
% 3.57/1.15 Horn 134
% 3.57/1.15 unary 40
% 3.57/1.15 binary 36
% 3.57/1.15 lits 458
% 3.57/1.15 lits eq 73
% 3.57/1.15 fd_pure 0
% 3.57/1.15 fd_pseudo 0
% 3.57/1.15 fd_cond 5
% 3.57/1.15 fd_pseudo_cond 11
% 3.57/1.15 AC symbols 0
% 3.57/1.15
% 3.57/1.15 ------ Schedule dynamic 5 is on
% 3.57/1.15
% 3.57/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.57/1.15
% 3.57/1.15
% 3.57/1.15 ------
% 3.57/1.15 Current options:
% 3.57/1.15 ------
% 3.57/1.15
% 3.57/1.15
% 3.57/1.15
% 3.57/1.15
% 3.57/1.15 ------ Proving...
% 3.57/1.15
% 3.57/1.15
% 3.57/1.15 % SZS status Theorem for theBenchmark.p
% 3.57/1.15
% 3.57/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.57/1.15
% 3.57/1.15
%------------------------------------------------------------------------------