%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG067+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 02:38:42 PM UTC 2026
% Result : Theorem 5.37s 1.76s
% Output : CNFRefutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 22 unt; 0 def)
% Number of atoms : 144 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 174 ( 84 ~; 76 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2004) ).
fof(f58,axiom,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2104) ).
fof(f59,conjecture,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f66,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(flattening,[],[f60]) ).
fof(f73,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f74,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f75]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(flattening,[],[f94]) ).
fof(f136,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f209,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f211,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f213,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f215,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f217,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f218,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f58]) ).
fof(f219,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(cnf_transformation,[],[f66]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_129,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f209]) ).
tcf(c_131,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f211]) ).
tcf(c_133,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f213]) ).
tcf(c_135,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f215]) ).
tcf(c_138,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f217]) ).
tcf(c_139,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f218]) ).
tcf(c_140,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(cnf_transformation,[],[f219]) ).
tcf(c_1142,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(subtyping,[status(esa)],[c_140]) ).
tcf(c_1200,plain,
! [X0_iProver_sdtpldt0_2: iProver_sdtpldt0_2,X1_iProver_sdtpldt0_2: iProver_sdtpldt0_2,X2_iProver_sdtpldt0_2: iProver_sdtpldt0_2,X3_iProver_sdtpldt0_2: iProver_sdtpldt0_2] :
( sdtlseqdt0(sdtpldt0(X0_iProver_sdtpldt0_2,X2_iProver_sdtpldt0_2),sdtpldt0(X1_iProver_sdtpldt0_2,X3_iProver_sdtpldt0_2))
| ~ aScalar0(X3_iProver_sdtpldt0_2)
| ~ aScalar0(X2_iProver_sdtpldt0_2)
| ~ aScalar0(X1_iProver_sdtpldt0_2)
| ~ aScalar0(X0_iProver_sdtpldt0_2)
| ~ sdtlseqdt0(X2_iProver_sdtpldt0_2,X3_iProver_sdtpldt0_2)
| ~ sdtlseqdt0(X0_iProver_sdtpldt0_2,X1_iProver_sdtpldt0_2) ),
inference(subtyping,[status(esa)],[c_81]) ).
tcf(c_1222,plain,
! [X0_iProver_sdtpldt0_2: iProver_sdtpldt0_2,X1_iProver_sdtpldt0_2: iProver_sdtpldt0_2] :
( aScalar0(sdtasdt0(X0_iProver_sdtpldt0_2,X1_iProver_sdtpldt0_2))
| ~ aScalar0(X1_iProver_sdtpldt0_2)
| ~ aScalar0(X0_iProver_sdtpldt0_2) ),
inference(subtyping,[status(esa)],[c_58]) ).
tcf(c_1223,plain,
! [X0_iProver_sdtpldt0_2: iProver_sdtpldt0_2,X1_iProver_sdtpldt0_2: iProver_sdtpldt0_2] :
( aScalar0(sdtpldt0(X0_iProver_sdtpldt0_2,X1_iProver_sdtpldt0_2))
| ~ aScalar0(X1_iProver_sdtpldt0_2)
| ~ aScalar0(X0_iProver_sdtpldt0_2) ),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_2666,plain,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN))
| ~ aScalar0(xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN)) ),
inference(instantiation,[status(thm)],[c_1200]) ).
tcf(c_2824,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xP) ),
inference(instantiation,[status(thm)],[c_1222]) ).
tcf(c_3213,plain,
( aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| ~ aScalar0(xN)
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[c_1223]) ).
tcf(c_3220,plain,
( aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[c_1223]) ).
tcf(c_4111,plain,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(xS) ),
inference(instantiation,[status(thm)],[c_1222]) ).
tcf(c_4151,plain,
( aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
inference(instantiation,[status(thm)],[c_1223]) ).
tcf(c_4322,plain,
( aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[c_1223]) ).
tcf(c_6950,plain,
( aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(xR) ),
inference(instantiation,[status(thm)],[c_1222]) ).
tcf(c_11896,plain,
( ~ aScalar0(xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN)) ),
inference(superposition,[status(thm)],[c_1200,c_1142]) ).
tcf(c_12945,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN)),
inference(global_subsumption_just,[status(thm)],[c_11896,c_135,c_133,c_131,c_129,c_138,c_140,c_2666,c_2824,c_3213,c_3220,c_4111,c_4151,c_4322,c_6950]) ).
tcf(c_12950,plain,
( ~ aScalar0(xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(superposition,[status(thm)],[c_1200,c_12945]) ).
tcf(c_12952,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12950,c_6950,c_4322,c_4111,c_3220,c_2824,c_139,c_138,c_129,c_131,c_133,c_135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG067+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n018.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Thu Sep 24 08:05:48 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 5.37/1.76 % SZS status Started for theBenchmark.p
% 5.37/1.76 % SZS status Theorem for theBenchmark.p
% 5.37/1.76
% 5.37/1.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.37/1.76
% 5.37/1.76 % ------ iProver source info
% 5.37/1.76
% 5.37/1.76 % git: date: 2026-07-19 20:42:38 +0200
% 5.37/1.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.37/1.76 % git: non_committed_changes: false
% 5.37/1.76
% 5.37/1.76 % ------ Parsing...
% 5.37/1.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.37/1.76
% 5.37/1.76 % ------ 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 %
% 5.37/1.76
% 5.37/1.76 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.37/1.76
% 5.37/1.76 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 5.37/1.76 % ------ Proving...
% 5.37/1.76 % ------ Problem Properties
% 5.37/1.76
% 5.37/1.76 %
% 5.37/1.76 % clauses 94
% 5.37/1.76 % conjectures 1
% 5.37/1.76 % EPR 25
% 5.37/1.76 % Horn 82
% 5.37/1.76 % unary 41
% 5.37/1.76 % binary 19
% 5.37/1.76 % lits 228
% 5.37/1.76 % lits eq 71
% 5.37/1.76 % fd_pure 0
% 5.37/1.76 % fd_pseudo 0
% 5.37/1.76 % fd_cond 1
% 5.37/1.76 % fd_pseudo_cond 5
% 5.37/1.76 % AC symbols 0
% 5.37/1.76
% 5.37/1.76 % ------ Input Options Time Limit: Unbounded
% 5.37/1.76
% 5.37/1.76
% 5.37/1.76 % ------
% 5.37/1.76 % Current options:
% 5.37/1.76 % ------
% 5.37/1.76
% 5.37/1.76
% 5.37/1.76 %
% 5.37/1.76
% 5.37/1.76 % ------ Proving...
% 5.37/1.76 %
% 5.37/1.76
% 5.37/1.76 % SZS status Theorem for theBenchmark.p
% 5.37/1.76
% 5.37/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.37/1.76
% 5.37/1.76
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