TSTP Solution File: RNG055+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : RNG055+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 02:57:25 EDT 2024
% Result : Theorem 112.24s 15.77s
% Output : CNFRefutation 112.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 106 ( 35 unt; 0 def)
% Number of atoms : 256 ( 156 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 287 ( 137 ~; 131 |; 17 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 90 ( 3 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f57,conjecture,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f58,negated_conjecture,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(negated_conjecture,[],[f57]) ).
fof(f64,plain,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(flattening,[],[f58]) ).
fof(f73,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f77]) ).
fof(f135,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f137,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f149,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f150,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f192,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f194,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f200,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f201,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f206,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f207,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f211,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f217,plain,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(cnf_transformation,[],[f64]) ).
cnf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f135]) ).
cnf(c_58,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_68,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_69,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_114,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f192]) ).
cnf(c_116,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f194]) ).
cnf(c_121,plain,
sdtasasdt0(xp,xq) = xE,
inference(cnf_transformation,[],[f201]) ).
cnf(c_122,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f200]) ).
cnf(c_127,plain,
sdtasdt0(xA,xB) = xH,
inference(cnf_transformation,[],[f207]) ).
cnf(c_128,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f206]) ).
cnf(c_131,plain,
sdtasdt0(xE,xH) = xP,
inference(cnf_transformation,[],[f211]) ).
cnf(c_138,negated_conjecture,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xP,xP),
inference(cnf_transformation,[],[f217]) ).
cnf(c_1132,negated_conjecture,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xP,xP),
inference(subtyping,[status(esa)],[c_138]) ).
cnf(c_1139,plain,
sdtasdt0(xE,xH) = xP,
inference(subtyping,[status(esa)],[c_131]) ).
cnf(c_1142,plain,
aScalar0(xH),
inference(subtyping,[status(esa)],[c_128]) ).
cnf(c_1143,plain,
sdtasdt0(xA,xB) = xH,
inference(subtyping,[status(esa)],[c_127]) ).
cnf(c_1148,plain,
aScalar0(xE),
inference(subtyping,[status(esa)],[c_122]) ).
cnf(c_1149,plain,
sdtasasdt0(xp,xq) = xE,
inference(subtyping,[status(esa)],[c_121]) ).
cnf(c_1200,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| sdtasdt0(sdtasdt0(X0_15,X1_15),X2_15) = sdtasdt0(X0_15,sdtasdt0(X1_15,X2_15)) ),
inference(subtyping,[status(esa)],[c_69]) ).
cnf(c_1201,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X2_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15) ),
inference(subtyping,[status(esa)],[c_68]) ).
cnf(c_1210,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| aScalar0(sdtasdt0(X0_15,X1_15)) ),
inference(subtyping,[status(esa)],[c_58]) ).
cnf(c_1219,plain,
( ~ aScalar0(X0_15)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_1201]) ).
cnf(c_1220,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_1201]) ).
cnf(c_1221,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1201]) ).
cnf(c_1227,plain,
X0_15 = X0_15,
theory(equality) ).
cnf(c_1230,plain,
( X0_15 != X1_15
| X2_15 != X1_15
| X2_15 = X0_15 ),
theory(equality) ).
cnf(c_1235,plain,
( X0_15 != X1_15
| X2_15 != X3_15
| sdtasdt0(X0_15,X2_15) = sdtasdt0(X1_15,X3_15) ),
theory(equality) ).
cnf(c_1284,plain,
( ~ aScalar0(sz0z00)
| ~ sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_1219]) ).
cnf(c_1289,plain,
( sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15)
| ~ aScalar0(X1_15)
| ~ aScalar0(X0_15) ),
inference(global_subsumption_just,[status(thm)],[c_1220,c_56,c_1284,c_1220,c_1221]) ).
cnf(c_1290,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtasdt0(X0_15,X1_15) = sdtasdt0(X1_15,X0_15) ),
inference(renaming,[status(thm)],[c_1289]) ).
cnf(c_2364,plain,
( ~ aScalar0(X0_15)
| ~ aScalar0(X1_15)
| sdtasdt0(sdtasdt0(xH,X0_15),X1_15) = sdtasdt0(xH,sdtasdt0(X0_15,X1_15)) ),
inference(superposition,[status(thm)],[c_1142,c_1200]) ).
cnf(c_2393,plain,
( sdtasdt0(xP,xP) != X0_15
| X1_15 != X0_15
| sdtasdt0(xP,xP) = X1_15 ),
inference(instantiation,[status(thm)],[c_1230]) ).
cnf(c_2395,plain,
( xP != X0_15
| xP != X1_15
| sdtasdt0(xP,xP) = sdtasdt0(X0_15,X1_15) ),
inference(instantiation,[status(thm)],[c_1235]) ).
cnf(c_2407,plain,
( X0_15 != X1_15
| xP != X1_15
| xP = X0_15 ),
inference(instantiation,[status(thm)],[c_1230]) ).
cnf(c_2425,plain,
xP = xP,
inference(instantiation,[status(thm)],[c_1227]) ).
cnf(c_2462,plain,
( X0_15 != xP
| xP != xP
| xP = X0_15 ),
inference(instantiation,[status(thm)],[c_2407]) ).
cnf(c_2478,plain,
( sdtasdt0(xE,xH) != xP
| xP != xP
| xP = sdtasdt0(xE,xH) ),
inference(instantiation,[status(thm)],[c_2462]) ).
cnf(c_2514,plain,
( X0_15 != sdtasdt0(xE,xH)
| xP != sdtasdt0(xE,xH)
| xP = X0_15 ),
inference(instantiation,[status(thm)],[c_2407]) ).
cnf(c_2581,plain,
( X0_15 != X1_15
| X1_15 = X0_15 ),
inference(resolution,[status(thm)],[c_1230,c_1227]) ).
cnf(c_2615,plain,
( sdtasdt0(xH,xE) != sdtasdt0(xE,xH)
| xP != sdtasdt0(xE,xH)
| xP = sdtasdt0(xH,xE) ),
inference(instantiation,[status(thm)],[c_2514]) ).
cnf(c_2616,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xH)
| sdtasdt0(xH,xE) = sdtasdt0(xE,xH) ),
inference(instantiation,[status(thm)],[c_1290]) ).
cnf(c_2620,plain,
( sdtasdt0(X0_15,X1_15) != sdtasdt0(xE,xH)
| xP != sdtasdt0(xE,xH)
| xP = sdtasdt0(X0_15,X1_15) ),
inference(instantiation,[status(thm)],[c_2514]) ).
cnf(c_2621,plain,
( X0_15 != xE
| X1_15 != xH
| sdtasdt0(X0_15,X1_15) = sdtasdt0(xE,xH) ),
inference(instantiation,[status(thm)],[c_1235]) ).
cnf(c_2646,plain,
xE = sdtasasdt0(xp,xq),
inference(resolution,[status(thm)],[c_2581,c_1149]) ).
cnf(c_2832,plain,
( sdtasdt0(xA,xB) != xH
| X0_15 != xE
| sdtasdt0(X0_15,sdtasdt0(xA,xB)) = sdtasdt0(xE,xH) ),
inference(instantiation,[status(thm)],[c_2621]) ).
cnf(c_2885,plain,
( X0_15 != sdtasasdt0(xp,xq)
| xE = X0_15 ),
inference(resolution,[status(thm)],[c_2646,c_1230]) ).
cnf(c_3009,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(xH)
| sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))) ),
inference(instantiation,[status(thm)],[c_1200]) ).
cnf(c_3013,plain,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(instantiation,[status(thm)],[c_1227]) ).
cnf(c_3014,plain,
( sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != X0_15
| X1_15 != X0_15
| sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) = X1_15 ),
inference(instantiation,[status(thm)],[c_1230]) ).
cnf(c_3198,plain,
xE = xE,
inference(resolution,[status(thm)],[c_2885,c_2646]) ).
cnf(c_3271,plain,
( sdtasdt0(xA,xB) != xH
| xE != xE
| sdtasdt0(xE,sdtasdt0(xA,xB)) = sdtasdt0(xE,xH) ),
inference(instantiation,[status(thm)],[c_2832]) ).
cnf(c_3693,plain,
( ~ aScalar0(xE)
| aScalar0(sdtasdt0(xE,xE)) ),
inference(instantiation,[status(thm)],[c_1210]) ).
cnf(c_3860,plain,
( sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))
| X0_15 != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))
| sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) = X0_15 ),
inference(instantiation,[status(thm)],[c_3014]) ).
cnf(c_4125,plain,
( ~ aScalar0(X0_15)
| sdtasdt0(sdtasdt0(xH,xE),X0_15) = sdtasdt0(xH,sdtasdt0(xE,X0_15)) ),
inference(superposition,[status(thm)],[c_1148,c_2364]) ).
cnf(c_4196,plain,
( sdtasdt0(xE,sdtasdt0(xA,xB)) != sdtasdt0(xE,xH)
| xP != sdtasdt0(xE,xH)
| xP = sdtasdt0(xE,sdtasdt0(xA,xB)) ),
inference(instantiation,[status(thm)],[c_2620]) ).
cnf(c_4291,plain,
sdtasdt0(sdtasdt0(xH,xE),xE) = sdtasdt0(xH,sdtasdt0(xE,xE)),
inference(superposition,[status(thm)],[c_1148,c_4125]) ).
cnf(c_4390,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xE)) ),
inference(instantiation,[status(thm)],[c_1210]) ).
cnf(c_5301,plain,
( xP != sdtasdt0(xE,sdtasdt0(xA,xB))
| xP != X0_15
| sdtasdt0(xP,xP) = sdtasdt0(X0_15,sdtasdt0(xE,sdtasdt0(xA,xB))) ),
inference(instantiation,[status(thm)],[c_2395]) ).
cnf(c_5344,plain,
( sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))
| sdtasdt0(X0_15,X1_15) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))
| sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) = sdtasdt0(X0_15,X1_15) ),
inference(instantiation,[status(thm)],[c_3860]) ).
cnf(c_6072,plain,
( xP != sdtasdt0(xE,sdtasdt0(xA,xB))
| xP != sdtasdt0(xH,xE)
| sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xA,xB))) ),
inference(instantiation,[status(thm)],[c_5301]) ).
cnf(c_11462,plain,
( sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xA,xB)))
| X0_15 != sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xA,xB)))
| sdtasdt0(xP,xP) = X0_15 ),
inference(instantiation,[status(thm)],[c_2393]) ).
cnf(c_12054,plain,
( ~ aScalar0(xA)
| ~ aScalar0(xB)
| aScalar0(sdtasdt0(xA,xB)) ),
inference(instantiation,[status(thm)],[c_1210]) ).
cnf(c_17026,plain,
( sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),xE),sdtasdt0(xA,xB)) != sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xA,xB)))
| sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xA,xB)))
| sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),xE),sdtasdt0(xA,xB)) ),
inference(instantiation,[status(thm)],[c_11462]) ).
cnf(c_17027,plain,
( ~ aScalar0(sdtasdt0(xA,xB))
| ~ aScalar0(sdtasdt0(xH,xE))
| ~ aScalar0(xE)
| sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),xE),sdtasdt0(xA,xB)) = sdtasdt0(sdtasdt0(xH,xE),sdtasdt0(xE,sdtasdt0(xA,xB))) ),
inference(instantiation,[status(thm)],[c_1200]) ).
cnf(c_17668,plain,
( ~ aScalar0(sdtasdt0(xH,xE))
| ~ aScalar0(xE)
| aScalar0(sdtasdt0(sdtasdt0(xH,xE),xE)) ),
inference(instantiation,[status(thm)],[c_1210]) ).
cnf(c_25057,plain,
( sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),xE),sdtasdt0(xA,xB))
| X0_15 != sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),xE),sdtasdt0(xA,xB))
| sdtasdt0(xP,xP) = X0_15 ),
inference(instantiation,[status(thm)],[c_2393]) ).
cnf(c_30842,plain,
( sdtasdt0(sdtasdt0(xA,xB),sdtasdt0(sdtasdt0(xH,xE),xE)) != sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),xE),sdtasdt0(xA,xB))
| sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),xE),sdtasdt0(xA,xB))
| sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xA,xB),sdtasdt0(sdtasdt0(xH,xE),xE)) ),
inference(instantiation,[status(thm)],[c_25057]) ).
cnf(c_30843,plain,
( ~ aScalar0(sdtasdt0(sdtasdt0(xH,xE),xE))
| ~ aScalar0(sdtasdt0(xA,xB))
| sdtasdt0(sdtasdt0(xA,xB),sdtasdt0(sdtasdt0(xH,xE),xE)) = sdtasdt0(sdtasdt0(sdtasdt0(xH,xE),xE),sdtasdt0(xA,xB)) ),
inference(instantiation,[status(thm)],[c_1290]) ).
cnf(c_40153,plain,
( sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))
| sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE))
| sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) = sdtasdt0(xP,xP) ),
inference(instantiation,[status(thm)],[c_5344]) ).
cnf(c_54026,plain,
( sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != X0_15
| X1_15 != X0_15
| sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) = X1_15 ),
inference(instantiation,[status(thm)],[c_1230]) ).
cnf(c_54035,plain,
( sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != X0_15
| sdtasdt0(xP,xP) != X0_15
| sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) ),
inference(instantiation,[status(thm)],[c_1230]) ).
cnf(c_54049,plain,
( sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))
| X0_15 != sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))
| sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) = X0_15 ),
inference(instantiation,[status(thm)],[c_54026]) ).
cnf(c_54104,plain,
( sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))
| sdtasdt0(X0_15,X1_15) != sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))
| sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) = sdtasdt0(X0_15,X1_15) ),
inference(instantiation,[status(thm)],[c_54049]) ).
cnf(c_54105,plain,
( X0_15 != xH
| X1_15 != sdtasdt0(xH,sdtasdt0(xE,xE))
| sdtasdt0(X0_15,X1_15) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))) ),
inference(instantiation,[status(thm)],[c_1235]) ).
cnf(c_54259,plain,
( sdtasdt0(xA,xB) != xH
| X0_15 != sdtasdt0(xH,sdtasdt0(xE,xE))
| sdtasdt0(sdtasdt0(xA,xB),X0_15) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))) ),
inference(instantiation,[status(thm)],[c_54105]) ).
cnf(c_54540,plain,
( sdtasdt0(sdtasdt0(xH,xE),xE) != sdtasdt0(xH,sdtasdt0(xE,xE))
| sdtasdt0(xA,xB) != xH
| sdtasdt0(sdtasdt0(xA,xB),sdtasdt0(sdtasdt0(xH,xE),xE)) = sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE))) ),
inference(instantiation,[status(thm)],[c_54259]) ).
cnf(c_54925,plain,
( sdtasdt0(sdtasdt0(xA,xB),sdtasdt0(sdtasdt0(xH,xE),xE)) != sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))
| sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xH,sdtasdt0(xH,sdtasdt0(xE,xE)))
| sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) = sdtasdt0(sdtasdt0(xA,xB),sdtasdt0(sdtasdt0(xH,xE),xE)) ),
inference(instantiation,[status(thm)],[c_54104]) ).
cnf(c_55355,plain,
( sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(sdtasdt0(xA,xB),sdtasdt0(sdtasdt0(xH,xE),xE))
| sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xA,xB),sdtasdt0(sdtasdt0(xH,xE),xE))
| sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) ),
inference(instantiation,[status(thm)],[c_54035]) ).
cnf(c_55359,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55355,c_54925,c_54540,c_40153,c_30843,c_30842,c_17668,c_17027,c_17026,c_12054,c_6072,c_4390,c_4291,c_4196,c_3693,c_3271,c_3198,c_3013,c_3009,c_2616,c_2615,c_2478,c_2425,c_1143,c_1139,c_1132,c_114,c_116,c_122,c_128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG055+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n009.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 21:13:55 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 50.85/7.73 % SZS status Started for theBenchmark.p
% 50.85/7.73 ERROR - "ProverProcess:heur/379306:2.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Z3.Error("Sort mismatch at argument #1 for function (declare-fun k!98 (|16777216|) |16777216|) supplied sort is |16777229|")
% 50.85/7.73 Fatal error: exception Z3.Error("Sort mismatch at argument #1 for function (declare-fun k!98 (|16777216|) |16777216|) supplied sort is |16777229|")
% 50.85/7.73 ERROR - cmd was: ulimit -v 4096000; ./res/iproveropt_static_z3 --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 6 --comb_sup_mult 32 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground false --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs;Unflattening]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[Subsumption;SubsumptionRes;UnitSubsAndRes;DemodLoopTriv;ACNormalisation]" --sup_immed_fw_main "[Subsumption;UnitSubsAndRes;Demod;LightNorm;ACNormalisation]" --sup_immed_triv "[PropSubs]" --sup_indices_passive "[]" --sup_input_bw "[SubsumptionRes]" --sup_input_fw "[SMTSubs;]" --sup_input_triv "[]" --sup_iter_deepening 1 --sup_passive_queue_type priority_queues --sup_passive_queues "[[+min_def_symb;-score;+epr];[-next_state;-conj_dist;+conj_symb]]" --sup_passive_queues_freq "[3;512]" --sup_prop_simpl_given false --sup_prop_simpl_new true --sup_restarts_mult 16 --sup_score sim_d_gen --sup_share_max_num_cl 320 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering arity_rev --sup_to_prop_solver none --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 2.00" --time_out_real 2.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_p641khxc/s0vebstl 2>> /export/starexec/sandbox/tmp/iprover_out_p641khxc/s0vebstl_error
% 112.24/15.77 % SZS status Theorem for theBenchmark.p
% 112.24/15.77
% 112.24/15.77 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 112.24/15.77
% 112.24/15.77 ------ iProver source info
% 112.24/15.77
% 112.24/15.77 git: date: 2024-05-02 19:28:25 +0000
% 112.24/15.77 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 112.24/15.77 git: non_committed_changes: false
% 112.24/15.77
% 112.24/15.77 ------ Parsing...
% 112.24/15.77 ------ Clausification by vclausify_rel & Parsing by iProver...
% 112.24/15.77
% 112.24/15.77 ------ 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
% 112.24/15.77
% 112.24/15.77 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 112.24/15.77
% 112.24/15.77 ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 112.24/15.77 ------ Proving...
% 112.24/15.77 ------ Problem Properties
% 112.24/15.77
% 112.24/15.77
% 112.24/15.77 clauses 92
% 112.24/15.77 conjectures 1
% 112.24/15.77 EPR 25
% 112.24/15.77 Horn 80
% 112.24/15.77 unary 39
% 112.24/15.77 binary 19
% 112.24/15.77 lits 226
% 112.24/15.77 lits eq 72
% 112.24/15.77 fd_pure 0
% 112.24/15.77 fd_pseudo 0
% 112.24/15.77 fd_cond 1
% 112.24/15.77 fd_pseudo_cond 5
% 112.24/15.77 AC symbols 0
% 112.24/15.77
% 112.24/15.77 ------ Input Options Time Limit: Unbounded
% 112.24/15.77
% 112.24/15.77
% 112.24/15.77 ------
% 112.24/15.77 Current options:
% 112.24/15.77 ------
% 112.24/15.77
% 112.24/15.77
% 112.24/15.77
% 112.24/15.77
% 112.24/15.77 ------ Proving...
% 112.24/15.77
% 112.24/15.77
% 112.24/15.77 % SZS status Theorem for theBenchmark.p
% 112.24/15.77
% 112.24/15.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 112.24/15.77
% 112.24/15.78
%------------------------------------------------------------------------------