%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG070+2 : 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 02:38:43 PM UTC 2026
% Result : Theorem 3.12s 1.18s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 21 unt; 2 def)
% Number of atoms : 84 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 30 ~; 26 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f60,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).
fof(f61,conjecture,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f62,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f68,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(flattening,[],[f62]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f75]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f100]) ).
fof(f138,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f211,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f213,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f215,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f222,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f60]) ).
fof(f223,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f68]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_129,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f211]) ).
tcf(c_131,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f213]) ).
tcf(c_133,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f215]) ).
tcf(c_141,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f222]) ).
tcf(c_142,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f223]) ).
tcf(c_1881,definition,
iPr_def_13 = sdtpldt0(xR,xS),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1882,definition,
iPr_def_14 = sdtpldt0(xP,xP),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1883,negated_conjecture,
~ sdtlseqdt0(iPr_def_13,iPr_def_14),
inference(demodulation,[status(thm)],[c_142,c_1882,c_1881]) ).
tcf(c_3013,plain,
~ sdtlseqdt0(iPr_def_14,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_141,c_1881,c_1882]) ).
tcf(c_3138,plain,
( aScalar0(iPr_def_14)
| ~ aScalar0(xP) ),
inference(superposition,[status(thm)],[c_1882,c_57]) ).
tcf(c_3139,plain,
( aScalar0(iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(superposition,[status(thm)],[c_1881,c_57]) ).
tcf(c_3159,plain,
aScalar0(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_3138,c_131]) ).
tcf(c_3160,plain,
aScalar0(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_3139,c_133,c_129]) ).
tcf(c_3477,plain,
( sdtlseqdt0(iPr_def_13,iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_83,c_3013]) ).
tcf(c_3480,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3477,c_1883,c_3159,c_3160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG070+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 07:59:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.12/1.18 % SZS status Started for theBenchmark.p
% 3.12/1.18 % SZS status Theorem for theBenchmark.p
% 3.12/1.18
% 3.12/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.12/1.18
% 3.12/1.18 % ------ iProver source info
% 3.12/1.18
% 3.12/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.12/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.12/1.18 % git: non_committed_changes: false
% 3.12/1.18
% 3.12/1.18 % ------ Parsing...
% 3.12/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.12/1.18
% 3.12/1.18 % ------ Preprocessing... sup_sim: 2 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 %
% 3.12/1.18
% 3.12/1.18 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.12/1.18
% 3.12/1.18 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 3.12/1.18 % ------ Proving...
% 3.12/1.18 % ------ Problem Properties
% 3.12/1.18
% 3.12/1.18 %
% 3.12/1.18 % clauses 98
% 3.12/1.18 % conjectures 1
% 3.12/1.18 % EPR 26
% 3.12/1.18 % Horn 86
% 3.12/1.18 % unary 45
% 3.12/1.18 % binary 19
% 3.12/1.18 % lits 232
% 3.12/1.18 % lits eq 73
% 3.12/1.18 % fd_pure 0
% 3.12/1.18 % fd_pseudo 0
% 3.12/1.18 % fd_cond 1
% 3.12/1.18 % fd_pseudo_cond 5
% 3.12/1.18 % AC symbols 0
% 3.12/1.18
% 3.12/1.18 % ------ Schedule dynamic 5 is on
% 3.12/1.18
% 3.12/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.12/1.18
% 3.12/1.18
% 3.12/1.18 % ------
% 3.12/1.18 % Current options:
% 3.12/1.18 % ------
% 3.12/1.18
% 3.12/1.18
% 3.12/1.18 %
% 3.12/1.18
% 3.12/1.18 % ------ Proving...
% 3.12/1.18 %
% 3.12/1.18
% 3.12/1.18 % SZS status Theorem for theBenchmark.p
% 3.12/1.18
% 3.12/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.12/1.18
% 3.12/1.18
%------------------------------------------------------------------------------