%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN728-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 03:41:30 PM UTC 2026
% Result : Unsatisfiable 0.92s 1.06s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 9 unt; 1 def)
% Number of atoms : 49 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 42 ( 23 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X1,X2)
| p(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_1) ).
fof(f2,negated_conjecture,
! [X0] :
( p(X0,sk1(X0))
| m(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_2) ).
fof(f3,negated_conjecture,
! [X0] :
( p(X0,sk1(X0))
| q(f(X0,sk1(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_3) ).
fof(f4,negated_conjecture,
! [X0] :
( ~ q(X0)
| ~ m(g(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_4) ).
fof(f5,negated_conjecture,
! [X0] :
( ~ p(g(sk2),X0)
| ~ p(sk2,sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69_5) ).
tcf(c_54,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X2,X2)
| ~ p(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,negated_conjecture,
! [X0: $i] :
( m(X0)
| p(X0,sk1(X0)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,negated_conjecture,
! [X0: $i] :
( p(X0,sk1(X0))
| q(f(X0,sk1(X0))) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,negated_conjecture,
! [X0: $i] :
( ~ q(X0)
| ~ m(g(X0)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
! [X0: $i] :
( ~ p(sk2,sk2)
| ~ p(g(sk2),X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_71,plain,
! [X0: $i] : ~ p(g(sk2),X0),
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_54]) ).
tcf(c_83,plain,
! [X0: $i] :
( p(g(X0),sk1(g(X0)))
| ~ q(X0) ),
inference(resolution,[status(thm)],[c_55,c_57]) ).
tcf(c_126,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| p(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_54]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ~ p(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_54]) ).
tcf(c_128,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_54]) ).
tcf(c_129,definition,
iPr_def_12 = g(sk2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_130,plain,
! [X0: $i] :
( p(g(X0),sk1(g(X0)))
| ~ q(X0) ),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_131,plain,
! [X0: $i] : ~ p(iPr_def_12,X0),
inference(demodulation,[status(thm)],[c_71,c_129]) ).
tcf(c_132,negated_conjecture,
! [X0: $i] :
( p(X0,sk1(X0))
| q(f(X0,sk1(X0))) ),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_133,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_134,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ~ p(X0,X1) ),
inference(demodulation,[status(thm)],[c_127]) ).
tcf(c_135,negated_conjecture,
! [X0: $i] :
( p(X0,X0)
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_126]) ).
tcf(c_291,plain,
~ iPr_def_10,
inference(superposition,[status(thm)],[c_135,c_131]) ).
tcf(c_292,plain,
iPr_def_11,
inference(backward_subsumption_resolution,[status(thm)],[c_133,c_291]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] : ~ p(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_134,c_292]) ).
tcf(c_294,plain,
! [X0: $i] : q(f(X0,sk1(X0))),
inference(backward_subsumption_resolution,[status(thm)],[c_132,c_293]) ).
tcf(c_302,plain,
! [X0: $i] : ~ q(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_130,c_293]) ).
tcf(c_304,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_294,c_302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN728-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Fri Sep 25 02:12:20 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.03/0.32
% 0.03/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.32
% 0.03/0.32 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 0.92/1.06 % SZS status Started for theBenchmark.p
% 0.92/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 0.92/1.06
% 0.92/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.92/1.06
% 0.92/1.06 % ------ iProver source info
% 0.92/1.06
% 0.92/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 0.92/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.92/1.06 % git: non_committed_changes: false
% 0.92/1.06
% 0.92/1.06 % ------ Parsing...% successful
% 0.92/1.06
% 0.92/1.06
% 0.92/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.92/1.06
% 0.92/1.06 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.92/1.06
% 0.92/1.06 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.92/1.06
% 0.92/1.06 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.92/1.06 % ------ Proving...
% 0.92/1.06 % ------ Problem Properties
% 0.92/1.06
% 0.92/1.06 %
% 0.92/1.06 % clauses 7
% 0.92/1.06 % conjectures 4
% 0.92/1.06 % EPR 4
% 0.92/1.06 % Horn 5
% 0.92/1.06 % unary 2
% 0.92/1.06 % binary 5
% 0.92/1.06 % lits 12
% 0.92/1.06 % lits eq 1
% 0.92/1.06 % fd_pure 0
% 0.92/1.06 % fd_pseudo 0
% 0.92/1.06 % fd_cond 0
% 0.92/1.06 % fd_pseudo_cond 0
% 0.92/1.06 % AC symbols 0
% 0.92/1.06
% 0.92/1.06 % ------ Schedule dynamic 5 is on
% 0.92/1.06
% 0.92/1.06 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.92/1.06
% 0.92/1.06
% 0.92/1.06 % ------
% 0.92/1.06 % Current options:
% 0.92/1.06 % ------
% 0.92/1.06
% 0.92/1.06
% 0.92/1.06 %
% 0.92/1.06
% 0.92/1.06 % ------ Proving...
% 0.92/1.06 %
% 0.92/1.06
% 0.92/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 0.92/1.06
% 0.92/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.92/1.06
% 0.92/1.06
%------------------------------------------------------------------------------