%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM016+4 : 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 : n001.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 01:04:19 PM UTC 2026
% Result : Theorem 4.07s 1.23s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 96 ( 4 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 98 ( 28 ~; 35 |; 35 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 6 !; 8 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(f19,axiom,
( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xb,xa,xR) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731_02) ).
fof(f20,conjecture,
? [X0] :
( ( sdtmndtasgtdt0(X0,xR,xb)
| sdtmndtplgtdt0(X0,xR,xb)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,X0,xR)
& aElement0(X1) )
| aReductOfIn0(xb,X0,xR)
| X0 = xb )
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f21,negated_conjecture,
~ ? [X0] :
( ( sdtmndtasgtdt0(X0,xR,xb)
| sdtmndtplgtdt0(X0,xR,xb)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,xb)
& aReductOfIn0(X1,X0,xR)
& aElement0(X1) )
| aReductOfIn0(xb,X0,xR)
| X0 = xb )
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f28,plain,
( sdtmndtplgtdt0(xa,xR,xc)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xc)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| aReductOfIn0(xb,xa,xR) ) ),
inference(rectify,[],[f19]) ).
fof(f53,plain,
! [X0] :
( ( ~ sdtmndtasgtdt0(X0,xR,xb)
& ~ sdtmndtplgtdt0(X0,xR,xb)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,xb)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(xb,X0,xR)
& xb != X0 )
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f101,plain,
( sdtmndtplgtdt0(xa,xR,xc)
& ( ( sdtmndtplgtdt0(sK28,xR,xc)
& aReductOfIn0(sK28,xa,xR)
& aElement0(sK28) )
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( ( sdtmndtplgtdt0(sK27,xR,xb)
& aReductOfIn0(sK27,xa,xR)
& aElement0(sK27) )
| aReductOfIn0(xb,xa,xR) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28]),skolemize(X0,sK27),skolemize(X1,sK28)],[f28]) ).
fof(f166,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f195,plain,
( sdtmndtplgtdt0(sK27,xR,xb)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f101]) ).
fof(f196,plain,
( aReductOfIn0(sK27,xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f101]) ).
fof(f197,plain,
( aElement0(sK27)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f101]) ).
fof(f199,plain,
! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f202,plain,
! [X0] :
( xb != X0
| ~ aReductOfIn0(X0,xa,xR)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f206,plain,
( ~ aReductOfIn0(xb,xa,xR)
| ~ aElement0(xb) ),
inference(equality_resolution,[],[f202]) ).
tcf(c_113,plain,
aElement0(xb),
inference(cnf_transformation,[],[f166]) ).
tcf(c_137,plain,
( aElement0(sK27)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_138,plain,
( aReductOfIn0(sK27,xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_139,plain,
( sdtmndtplgtdt0(sK27,xR,xb)
| aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_145,negated_conjecture,
( ~ aElement0(xb)
| ~ aReductOfIn0(xb,xa,xR) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_148,negated_conjecture,
! [X0: $i] :
( ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_214,plain,
aElement0(sK27),
inference(global_subsumption_just,[status(thm)],[c_137,c_113,c_137,c_145]) ).
tcf(c_218,plain,
sdtmndtplgtdt0(sK27,xR,xb),
inference(global_subsumption_just,[status(thm)],[c_139,c_113,c_145,c_139]) ).
tcf(c_220,plain,
aReductOfIn0(sK27,xa,xR),
inference(global_subsumption_just,[status(thm)],[c_138,c_113,c_145,c_138]) ).
tcf(c_11243,negated_conjecture,
! [X0: $i] :
( ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X0,xR,xb)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(demodulation,[status(thm)],[c_148]) ).
tcf(c_12679,plain,
( ~ aElement0(sK27)
| ~ sdtmndtplgtdt0(sK27,xR,xb) ),
inference(superposition,[status(thm)],[c_220,c_11243]) ).
tcf(c_12682,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12679,c_214,c_218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM016+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n001.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 : Fri Sep 25 07:53:09 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.11/0.45
% 0.11/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.45
% 0.11/0.45 % Detected problem language: tptp
% 0.11/0.47 % Proving...
% 4.07/1.23 % SZS status Started for theBenchmark.p
% 4.07/1.23 % SZS status Theorem for theBenchmark.p
% 4.07/1.23
% 4.07/1.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.07/1.23
% 4.07/1.23 % ------ iProver source info
% 4.07/1.23
% 4.07/1.23 % git: date: 2026-07-19 20:42:38 +0200
% 4.07/1.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.07/1.23 % git: non_committed_changes: false
% 4.07/1.23
% 4.07/1.23 % ------ Parsing...
% 4.07/1.23 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.07/1.23
% 4.07/1.23 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 4.07/1.23
% 4.07/1.23 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.07/1.23
% 4.07/1.23 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.07/1.23 % ------ Proving...
% 4.07/1.23 % ------ Problem Properties
% 4.07/1.23
% 4.07/1.23 %
% 4.07/1.23 % clauses 87
% 4.07/1.23 % conjectures 4
% 4.07/1.23 % EPR 40
% 4.07/1.23 % Horn 49
% 4.07/1.23 % unary 11
% 4.07/1.23 % binary 24
% 4.07/1.23 % lits 307
% 4.07/1.23 % lits eq 17
% 4.07/1.23 % fd_pure 0
% 4.07/1.23 % fd_pseudo 0
% 4.07/1.23 % fd_cond 0
% 4.07/1.23 % fd_pseudo_cond 9
% 4.07/1.23 % AC symbols 0
% 4.07/1.23
% 4.07/1.23 % ------ Schedule dynamic 5 is on
% 4.07/1.23
% 4.07/1.23 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.07/1.23
% 4.07/1.23
% 4.07/1.23 % ------
% 4.07/1.23 % Current options:
% 4.07/1.23 % ------
% 4.07/1.23
% 4.07/1.23
% 4.07/1.23 %
% 4.07/1.23
% 4.07/1.23 % ------ Proving...
% 4.07/1.23 %
% 4.07/1.23
% 4.07/1.23 % SZS status Theorem for theBenchmark.p
% 4.07/1.23
% 4.07/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.07/1.23
% 4.07/1.23
%------------------------------------------------------------------------------