%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM501+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:25:21 PM UTC 2026
% Result : Theorem 16.33s 10.01s
% Output : CNFRefutation 16.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 65 ( 11 unt; 0 def)
% Number of atoms : 271 ( 72 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 349 ( 143 ~; 132 |; 64 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 101 ( 0 sgn 88 !; 13 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X1,X2)
& doDivides0(X0,X1) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f45,axiom,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f48,axiom,
( isPrime0(xr)
& ! [X0] :
( ( ( doDivides0(X0,xr)
| ? [X1] :
( xr = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( X0 = xr
| X0 = sz10 ) )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f49,conjecture,
( doDivides0(xr,sdtasdt0(xn,xm))
| ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f50,negated_conjecture,
~ ( doDivides0(xr,sdtasdt0(xn,xm))
| ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f56,plain,
( isPrime0(xr)
& ! [X1] :
( ( ( doDivides0(X1,xr)
| ? [X2] :
( sdtasdt0(X1,X2) = xr
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( xr = X1
| sz10 = X1 ) )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(rectify,[],[f48]) ).
fof(f59,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f60,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f59]) ).
fof(f66,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f67,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f66]) ).
fof(f103,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f104,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( doDivides0(X0,X1)
<=> ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f103]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(flattening,[],[f107]) ).
fof(f128,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(ennf_transformation,[],[f56]) ).
fof(f129,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
( ~ doDivides0(xr,sdtasdt0(xn,xm))
& ! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(xr,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f139,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X2] :
( X1 = sdtasdt0(X0,X2)
& aNaturalNumber0(X2) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f140,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ? [X3] :
( sdtasdt0(X0,X3) = X1
& aNaturalNumber0(X3) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(rectify,[],[f139]) ).
fof(f141,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ( ~ doDivides0(X0,X1)
| ( sdtasdt0(X0,sK3(X0,X1)) = X1
& aNaturalNumber0(sK3(X0,X1)) ) )
& ( ! [X2] :
( sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
| doDivides0(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1))],[f140]) ).
fof(f159,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& xk = sdtasdt0(xr,sK13)
& aNaturalNumber0(sK13)
& aNaturalNumber0(xr) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f129]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f207,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sdtasdt0(X0,sK3(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f141]) ).
fof(f208,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| aNaturalNumber0(sK3(X0,X1)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f228,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f268,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f269,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f279,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f159]) ).
fof(f282,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f159]) ).
fof(f284,plain,
! [X0] :
( sdtasdt0(xn,xm) != sdtasdt0(xr,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f291,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f209]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK3(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK3(X0,X1)) = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_118,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f228]) ).
tcf(c_155,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f269]) ).
tcf(c_156,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f268]) ).
tcf(c_162,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f282]) ).
tcf(c_165,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f279]) ).
tcf(c_171,negated_conjecture,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xn,xm) ) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] :
( doDivides0(X0,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_95,c_53,c_95]) ).
tcf(c_1042,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != sdtasdt0(xp,xk) ) ),
inference(light_normalisation,[status(thm)],[c_171,c_156]) ).
tcf(c_7620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9353,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(xr,X0) = sdtasdt0(xp,xk) )
| ( sdtasdt0(xp,xk) != X1 )
| ( sdtasdt0(xr,X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_7620]) ).
tcf(c_9356,plain,
! [X0: $i] :
( ( sdtasdt0(xr,X0) = sdtasdt0(xp,xk) )
| ( sdtasdt0(xp,xk) != sdtasdt0(xk,xp) )
| ( sdtasdt0(xr,X0) != sdtasdt0(xk,xp) ) ),
inference(instantiation,[status(thm)],[c_9353]) ).
tcf(c_9483,plain,
! [X0: $i,X1: $i,X2: $i] :
( doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ doDivides0(X0,sdtasdt0(X0,X1)) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_9532,plain,
( ( sdtasdt0(xp,xk) = sdtasdt0(xk,xp) )
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_10669,plain,
( ( sdtasdt0(xr,sK3(xr,sdtasdt0(xk,xp))) = sdtasdt0(xp,xk) )
| ( sdtasdt0(xp,xk) != sdtasdt0(xk,xp) )
| ( sdtasdt0(xr,sK3(xr,sdtasdt0(xk,xp))) != sdtasdt0(xk,xp) ) ),
inference(instantiation,[status(thm)],[c_9356]) ).
tcf(c_14077,plain,
( ( sdtasdt0(xr,sK3(xr,sdtasdt0(xk,xp))) = sdtasdt0(xk,xp) )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xk,xp))
| ~ doDivides0(xr,sdtasdt0(xk,xp)) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_18755,plain,
( aNaturalNumber0(sdtasdt0(xk,xp))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_21332,plain,
( doDivides0(xk,sdtasdt0(xk,xp))
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(xp) ),
inference(instantiation,[status(thm)],[c_243]) ).
tcf(c_22980,plain,
( doDivides0(xr,sdtasdt0(xk,xp))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xk)
| ~ doDivides0(xr,xk)
| ~ aNaturalNumber0(sdtasdt0(xk,xp))
| ~ doDivides0(xk,sdtasdt0(xk,xp)) ),
inference(instantiation,[status(thm)],[c_9483]) ).
tcf(c_30073,plain,
( ~ aNaturalNumber0(sK3(xr,sdtasdt0(xk,xp)))
| ( sdtasdt0(xr,sK3(xr,sdtasdt0(xk,xp))) != sdtasdt0(xp,xk) ) ),
inference(instantiation,[status(thm)],[c_1042]) ).
tcf(c_36880,plain,
( aNaturalNumber0(sK3(xr,sdtasdt0(xk,xp)))
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sdtasdt0(xk,xp))
| ~ doDivides0(xr,sdtasdt0(xk,xp)) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_36881,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_36880,c_30073,c_22980,c_21332,c_18755,c_14077,c_10669,c_9532,c_165,c_118,c_155,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM501+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/5.45 % Computer : n017.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Thu Sep 24 04:14:20 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.22/5.51 Running first-order theorem proving
% 0.22/5.51 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/5.52
% 0.22/5.52 % ======== iProver multi-core TPTP/SMT =========
% 0.22/5.52
% 0.22/5.53 % Detected problem language: tptp
% 0.22/5.54 % Proving...
% 16.33/10.01 % SZS status Started for theBenchmark.p
% 16.33/10.01 % SZS status Theorem for theBenchmark.p
% 16.33/10.01
% 16.33/10.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.33/10.01
% 16.33/10.01 % ------ iProver source info
% 16.33/10.01
% 16.33/10.01 % git: date: 2026-07-19 20:42:38 +0200
% 16.33/10.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.33/10.01 % git: non_committed_changes: false
% 16.33/10.01
% 16.33/10.01 % ------ Parsing...
% 16.33/10.01 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.33/10.01
% 16.33/10.01 % ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 16.33/10.01
% 16.33/10.01 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 16.33/10.01
% 16.33/10.01 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 16.33/10.01 % ------ Proving...
% 16.33/10.01 % ------ Problem Properties
% 16.33/10.01
% 16.33/10.01 %
% 16.33/10.01 % clauses 117
% 16.33/10.01 % conjectures 1
% 16.33/10.01 % EPR 42
% 16.33/10.01 % Horn 77
% 16.33/10.01 % unary 37
% 16.33/10.01 % binary 14
% 16.33/10.01 % lits 389
% 16.33/10.01 % lits eq 119
% 16.33/10.01 % fd_pure 0
% 16.33/10.01 % fd_pseudo 0
% 16.33/10.01 % fd_cond 24
% 16.33/10.01 % fd_pseudo_cond 11
% 16.33/10.01 % AC symbols 0
% 16.33/10.01
% 16.33/10.01 % ------ Input Options Time Limit: Unbounded
% 16.33/10.01
% 16.33/10.01
% 16.33/10.01 % ------
% 16.33/10.01 % Current options:
% 16.33/10.01 % ------
% 16.33/10.01
% 16.33/10.01
% 16.33/10.01 %
% 16.33/10.01
% 16.33/10.01 % ------ Proving...
% 16.33/10.01 %
% 16.33/10.01
% 16.33/10.01 % SZS status Theorem for theBenchmark.p
% 16.33/10.01
% 16.33/10.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.33/10.01
% 16.33/10.01
%------------------------------------------------------------------------------