TSTP Solution File: RNG104+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : RNG104+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 13:55:18 EDT 2023
% Result : Theorem 50.87s 7.77s
% Output : CNFRefutation 50.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 81 ( 17 unt; 0 def)
% Number of atoms : 289 ( 138 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 340 ( 132 ~; 132 |; 62 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 126 ( 0 sgn; 63 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xx
& aElement0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
fof(f40,axiom,
( xx = sdtasdt0(xc,xu)
& aElement0(xu) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
fof(f43,conjecture,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f44,negated_conjecture,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(negated_conjecture,[],[f43]) ).
fof(f52,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X1] :
( xx = sdtasdt0(xc,X1)
& aElement0(X1) ) ),
inference(rectify,[],[f39]) ).
fof(f53,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(flattening,[],[f44]) ).
fof(f67,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f68,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f70,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f69]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f149]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f150]) ).
fof(f152,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( sdtasdt0(X0,X3) != X2
| ~ aElement0(X3) )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = X2
& aElement0(X4) )
| aElementOf0(X2,X1) ) )
=> ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK19(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK19(X0,X1),X1) )
& ( ? [X4] :
( sdtasdt0(X0,X4) = sK19(X0,X1)
& aElement0(X4) )
| aElementOf0(sK19(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0,X1] :
( ? [X4] :
( sdtasdt0(X0,X4) = sK19(X0,X1)
& aElement0(X4) )
=> ( sK19(X0,X1) = sdtasdt0(X0,sK20(X0,X1))
& aElement0(sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0,X5] :
( ? [X7] :
( sdtasdt0(X0,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(X0,sK21(X0,X5)) = X5
& aElement0(sK21(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ( slsdtgt0(X0) = X1
| ( ( ! [X3] :
( sdtasdt0(X0,X3) != sK19(X0,X1)
| ~ aElement0(X3) )
| ~ aElementOf0(sK19(X0,X1),X1) )
& ( ( sK19(X0,X1) = sdtasdt0(X0,sK20(X0,X1))
& aElement0(sK20(X0,X1)) )
| aElementOf0(sK19(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( sdtasdt0(X0,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(X0,sK21(X0,X5)) = X5
& aElement0(sK21(X0,X5)) )
| ~ aElementOf0(X5,X1) ) )
& aSet0(X1) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21])],[f151,f154,f153,f152]) ).
fof(f156,plain,
( ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
=> ( xy = sdtasdt0(xc,sK22)
& aElement0(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
( ? [X1] :
( xx = sdtasdt0(xc,X1)
& aElement0(X1) )
=> ( xx = sdtasdt0(xc,sK23)
& aElement0(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& xy = sdtasdt0(xc,sK22)
& aElement0(sK22)
& aElementOf0(xx,slsdtgt0(xc))
& xx = sdtasdt0(xc,sK23)
& aElement0(sK23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f52,f157,f156]) ).
fof(f170,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f171,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f182,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f241,plain,
! [X0,X1] :
( aSet0(X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f248,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f251,plain,
aElementOf0(xx,slsdtgt0(xc)),
inference(cnf_transformation,[],[f158]) ).
fof(f255,plain,
aElement0(xz),
inference(cnf_transformation,[],[f158]) ).
fof(f256,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
fof(f257,plain,
xx = sdtasdt0(xc,xu),
inference(cnf_transformation,[],[f40]) ).
fof(f261,plain,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f53]) ).
fof(f273,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f241]) ).
cnf(c_60,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_61,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_72,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_137,plain,
( ~ aElement0(X0)
| aSet0(slsdtgt0(X0)) ),
inference(cnf_transformation,[],[f273]) ).
cnf(c_138,plain,
aElement0(xc),
inference(cnf_transformation,[],[f248]) ).
cnf(c_139,plain,
aElement0(xz),
inference(cnf_transformation,[],[f255]) ).
cnf(c_143,plain,
aElementOf0(xx,slsdtgt0(xc)),
inference(cnf_transformation,[],[f251]) ).
cnf(c_146,plain,
sdtasdt0(xc,xu) = xx,
inference(cnf_transformation,[],[f257]) ).
cnf(c_147,plain,
aElement0(xu),
inference(cnf_transformation,[],[f256]) ).
cnf(c_151,negated_conjecture,
sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xz,xx),
inference(cnf_transformation,[],[f261]) ).
cnf(c_2558,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_2562,plain,
( X0 != X1
| X2 != X3
| sdtasdt0(X0,X2) = sdtasdt0(X1,X3) ),
theory(equality) ).
cnf(c_3215,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != X0
| sdtasdt0(xz,xx) != X0
| sdtasdt0(xc,sdtasdt0(xu,xz)) = sdtasdt0(xz,xx) ),
inference(instantiation,[status(thm)],[c_2558]) ).
cnf(c_3228,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xc,sdtasdt0(xu,xz))
| sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz))
| sdtasdt0(xc,sdtasdt0(xu,xz)) = sdtasdt0(xz,xx) ),
inference(instantiation,[status(thm)],[c_3215]) ).
cnf(c_3229,plain,
( sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz))
| sdtasdt0(xc,sdtasdt0(xu,xz)) = sdtasdt0(xz,xx) ),
inference(equality_resolution_simp,[status(thm)],[c_3228]) ).
cnf(c_3298,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != X0
| X1 != X0
| sdtasdt0(xc,sdtasdt0(xu,xz)) = X1 ),
inference(instantiation,[status(thm)],[c_2558]) ).
cnf(c_3350,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xc,sdtasdt0(xu,xz))
| X0 != sdtasdt0(xc,sdtasdt0(xu,xz))
| sdtasdt0(xc,sdtasdt0(xu,xz)) = X0 ),
inference(instantiation,[status(thm)],[c_3298]) ).
cnf(c_3351,plain,
( X0 != sdtasdt0(xc,sdtasdt0(xu,xz))
| sdtasdt0(xc,sdtasdt0(xu,xz)) = X0 ),
inference(equality_resolution_simp,[status(thm)],[c_3350]) ).
cnf(c_3426,plain,
( sdtasdt0(sdtasdt0(xc,xu),xz) != sdtasdt0(xc,sdtasdt0(xu,xz))
| sdtasdt0(xc,sdtasdt0(xu,xz)) = sdtasdt0(sdtasdt0(xc,xu),xz) ),
inference(instantiation,[status(thm)],[c_3351]) ).
cnf(c_3530,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != X0
| sdtasdt0(xz,xx) != X0
| sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)) ),
inference(instantiation,[status(thm)],[c_2558]) ).
cnf(c_3644,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(X0,X1)
| sdtasdt0(xz,xx) != sdtasdt0(X0,X1)
| sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)) ),
inference(instantiation,[status(thm)],[c_3530]) ).
cnf(c_3846,plain,
( ~ aElement0(xc)
| ~ aElement0(xz)
| ~ aElement0(xu)
| sdtasdt0(sdtasdt0(xc,xu),xz) = sdtasdt0(xc,sdtasdt0(xu,xz)) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_4007,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xx,xz)
| sdtasdt0(xz,xx) != sdtasdt0(xx,xz)
| sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)) ),
inference(instantiation,[status(thm)],[c_3644]) ).
cnf(c_4213,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != X0
| X1 != X0
| sdtasdt0(xc,sdtasdt0(xu,xz)) = X1 ),
inference(instantiation,[status(thm)],[c_2558]) ).
cnf(c_4263,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(X0,X1)
| X2 != sdtasdt0(X0,X1)
| sdtasdt0(xc,sdtasdt0(xu,xz)) = X2 ),
inference(instantiation,[status(thm)],[c_4213]) ).
cnf(c_4525,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(sdtasdt0(xc,xu),xz)
| X0 != sdtasdt0(sdtasdt0(xc,xu),xz)
| sdtasdt0(xc,sdtasdt0(xu,xz)) = X0 ),
inference(instantiation,[status(thm)],[c_4263]) ).
cnf(c_5896,plain,
( ~ aElement0(xz)
| ~ aElement0(xx)
| sdtasdt0(xz,xx) = sdtasdt0(xx,xz) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_5897,plain,
( ~ aElement0(xx)
| sdtasdt0(xz,xx) = sdtasdt0(xx,xz) ),
inference(global_subsumption_just,[status(thm)],[c_5896,c_139,c_5896]) ).
cnf(c_6622,plain,
( X0 != X1
| xx != X1
| xx = X0 ),
inference(instantiation,[status(thm)],[c_2558]) ).
cnf(c_6781,plain,
( X0 != xx
| xx != xx
| xx = X0 ),
inference(instantiation,[status(thm)],[c_6622]) ).
cnf(c_6782,plain,
( X0 != xx
| xx = X0 ),
inference(equality_resolution_simp,[status(thm)],[c_6781]) ).
cnf(c_7187,plain,
( sdtasdt0(xc,xu) != xx
| xx = sdtasdt0(xc,xu) ),
inference(instantiation,[status(thm)],[c_6782]) ).
cnf(c_12369,plain,
( ~ aElementOf0(xx,X0)
| ~ aSet0(X0)
| aElement0(xx) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_13729,plain,
( ~ aElementOf0(xx,slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc))
| aElement0(xx) ),
inference(instantiation,[status(thm)],[c_12369]) ).
cnf(c_18109,plain,
( ~ aElement0(xc)
| aSet0(slsdtgt0(xc)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_29374,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != X0
| X1 != X0
| sdtasdt0(xc,sdtasdt0(xu,xz)) = X1 ),
inference(instantiation,[status(thm)],[c_2558]) ).
cnf(c_29462,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(X0,X1)
| X2 != sdtasdt0(X0,X1)
| sdtasdt0(xc,sdtasdt0(xu,xz)) = X2 ),
inference(instantiation,[status(thm)],[c_29374]) ).
cnf(c_29919,plain,
( sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(sdtasdt0(xc,xu),xz)
| X0 != sdtasdt0(sdtasdt0(xc,xu),xz)
| sdtasdt0(xc,sdtasdt0(xu,xz)) = X0 ),
inference(instantiation,[status(thm)],[c_29462]) ).
cnf(c_29923,plain,
( X0 != sdtasdt0(sdtasdt0(xc,xu),xz)
| sdtasdt0(xc,sdtasdt0(xu,xz)) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_29919,c_147,c_139,c_138,c_3426,c_3846,c_4525]) ).
cnf(c_31013,plain,
( sdtasdt0(xx,xz) != sdtasdt0(sdtasdt0(xc,xu),xz)
| sdtasdt0(xc,sdtasdt0(xu,xz)) = sdtasdt0(xx,xz) ),
inference(instantiation,[status(thm)],[c_29923]) ).
cnf(c_33050,plain,
( xz != xz
| xx != sdtasdt0(xc,xu)
| sdtasdt0(xx,xz) = sdtasdt0(sdtasdt0(xc,xu),xz) ),
inference(instantiation,[status(thm)],[c_2562]) ).
cnf(c_33051,plain,
( xx != sdtasdt0(xc,xu)
| sdtasdt0(xx,xz) = sdtasdt0(sdtasdt0(xc,xu),xz) ),
inference(equality_resolution_simp,[status(thm)],[c_33050]) ).
cnf(c_33052,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_33051,c_31013,c_18109,c_13729,c_7187,c_5897,c_4007,c_3229,c_151,c_146,c_143,c_138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG104+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 01:32:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.46 Running first-order theorem proving
% 0.21/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 50.87/7.77 % SZS status Started for theBenchmark.p
% 50.87/7.77 % SZS status Theorem for theBenchmark.p
% 50.87/7.77
% 50.87/7.77 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 50.87/7.77
% 50.87/7.77 ------ iProver source info
% 50.87/7.77
% 50.87/7.77 git: date: 2023-05-31 18:12:56 +0000
% 50.87/7.77 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 50.87/7.77 git: non_committed_changes: false
% 50.87/7.77 git: last_make_outside_of_git: false
% 50.87/7.77
% 50.87/7.77 ------ Parsing...
% 50.87/7.77 ------ Clausification by vclausify_rel & Parsing by iProver...
% 50.87/7.77
% 50.87/7.77 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 2 0s sf_e pe_s pe_e
% 50.87/7.77
% 50.87/7.77 ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 1 0s scvd_e snvd_s sp: 0 0s snvd_e
% 50.87/7.77
% 50.87/7.77 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 50.87/7.77 ------ Proving...
% 50.87/7.77 ------ Problem Properties
% 50.87/7.77
% 50.87/7.77
% 50.87/7.77 clauses 99
% 50.87/7.77 conjectures 1
% 50.87/7.77 EPR 19
% 50.87/7.77 Horn 75
% 50.87/7.77 unary 17
% 50.87/7.77 binary 14
% 50.87/7.77 lits 335
% 50.87/7.77 lits eq 48
% 50.87/7.77 fd_pure 0
% 50.87/7.77 fd_pseudo 0
% 50.87/7.77 fd_cond 3
% 50.87/7.77 fd_pseudo_cond 11
% 50.87/7.77 AC symbols 0
% 50.87/7.77
% 50.87/7.77 ------ Input Options Time Limit: Unbounded
% 50.87/7.77
% 50.87/7.77
% 50.87/7.77 ------
% 50.87/7.77 Current options:
% 50.87/7.77 ------
% 50.87/7.77
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% 50.87/7.77
% 50.87/7.77
% 50.87/7.77 ------ Proving...
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% 50.87/7.77 ------ Proving...
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% 50.87/7.77 ------ Proving...
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% 50.87/7.77 % SZS status Theorem for theBenchmark.p
% 50.87/7.77
% 50.87/7.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.87/7.77
% 50.87/7.78
%------------------------------------------------------------------------------