%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG070+1 : 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 : n014.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 2.94s 1.29s
% Output : CNFRefutation 2.94s
% 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/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
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(f60,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2590) ).
fof(f61,conjecture,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox/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(f136,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f162,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f205,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f207,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f209,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f216,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f60]) ).
fof(f217,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,[],[f136]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_125,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f205]) ).
tcf(c_127,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f207]) ).
tcf(c_129,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f209]) ).
tcf(c_137,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f216]) ).
tcf(c_138,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f217]) ).
tcf(c_1834,definition,
iPr_def_13 = sdtpldt0(xR,xS),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1835,definition,
iPr_def_14 = sdtpldt0(xP,xP),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1836,negated_conjecture,
~ sdtlseqdt0(iPr_def_13,iPr_def_14),
inference(demodulation,[status(thm)],[c_138,c_1835,c_1834]) ).
tcf(c_2940,plain,
~ sdtlseqdt0(iPr_def_14,iPr_def_13),
inference(light_normalisation,[status(thm)],[c_137,c_1834,c_1835]) ).
tcf(c_3063,plain,
( aScalar0(iPr_def_14)
| ~ aScalar0(xP) ),
inference(superposition,[status(thm)],[c_1835,c_57]) ).
tcf(c_3064,plain,
( aScalar0(iPr_def_13)
| ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(superposition,[status(thm)],[c_1834,c_57]) ).
tcf(c_3086,plain,
aScalar0(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_3063,c_127]) ).
tcf(c_3087,plain,
aScalar0(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_3064,c_129,c_125]) ).
tcf(c_3349,plain,
( sdtlseqdt0(iPr_def_13,iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_83,c_2940]) ).
tcf(c_3352,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3349,c_1836,c_3086,c_3087]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG070+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 08:04:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.44 % Proving...
% 2.94/1.29 % SZS status Started for theBenchmark.p
% 2.94/1.29 % SZS status Theorem for theBenchmark.p
% 2.94/1.29
% 2.94/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.94/1.29
% 2.94/1.29 % ------ iProver source info
% 2.94/1.29
% 2.94/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.94/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.94/1.29 % git: non_committed_changes: false
% 2.94/1.29
% 2.94/1.29 % ------ Parsing...
% 2.94/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.94/1.29
% 2.94/1.29 % ------ Preprocessing... sup_sim: 1 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 %
% 2.94/1.29
% 2.94/1.29 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.94/1.29
% 2.94/1.29 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 2.94/1.29 % ------ Proving...
% 2.94/1.29 % ------ Problem Properties
% 2.94/1.29
% 2.94/1.29 %
% 2.94/1.29 % clauses 94
% 2.94/1.29 % conjectures 1
% 2.94/1.29 % EPR 26
% 2.94/1.29 % Horn 82
% 2.94/1.29 % unary 43
% 2.94/1.29 % binary 17
% 2.94/1.29 % lits 226
% 2.94/1.29 % lits eq 69
% 2.94/1.29 % fd_pure 0
% 2.94/1.29 % fd_pseudo 0
% 2.94/1.29 % fd_cond 1
% 2.94/1.29 % fd_pseudo_cond 5
% 2.94/1.29 % AC symbols 0
% 2.94/1.29
% 2.94/1.29 % ------ Schedule dynamic 5 is on
% 2.94/1.29
% 2.94/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.94/1.29
% 2.94/1.29
% 2.94/1.29 % ------
% 2.94/1.29 % Current options:
% 2.94/1.29 % ------
% 2.94/1.29
% 2.94/1.29
% 2.94/1.29 %
% 2.94/1.29
% 2.94/1.29 % ------ Proving...
% 2.94/1.29 %
% 2.94/1.29
% 2.94/1.29 % SZS status Theorem for theBenchmark.p
% 2.94/1.29
% 2.94/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.94/1.29
% 2.94/1.29
%------------------------------------------------------------------------------