%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN319-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 03:39:41 PM UTC 2026
% Result : Unsatisfiable 2.09s 1.41s
% Output : CNFRefutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 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 ( 5 usr; 3 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( g(X1)
| f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f5,negated_conjecture,
! [X0] :
( h(X0)
| ~ f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X0] :
( h(X0)
| ~ g(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
! [X0,X1] : ~ h(z2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i] :
( g(X1)
| f(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,negated_conjecture,
! [X0: $i] :
( h(X0)
| ~ f(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,negated_conjecture,
! [X0: $i] :
( h(X0)
| ~ g(X0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,negated_conjecture,
! [X0: $i,X1: $i] : ~ h(z2(X0,X1)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] : ~ g(z2(X0,X1)),
inference(resolution,[status(thm)],[c_61,c_62]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] : ~ f(z2(X0,X1)),
inference(resolution,[status(thm)],[c_60,c_62]) ).
tcf(c_128,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| g(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_56]) ).
tcf(c_129,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| f(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_56]) ).
tcf(c_130,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_56]) ).
tcf(c_136,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_137,negated_conjecture,
! [X0: $i] :
( f(X0)
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_138,negated_conjecture,
! [X0: $i] :
( g(X0)
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i] :
( g(z2(X0,X1))
| ~ iPr_def_10 ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( f(z2(X0,X1))
| ~ iPr_def_11 ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_152,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_151,c_146,c_136,c_101,c_96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN319-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 00:52:27 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 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
% 0.14/0.43
% 0.14/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.43
% 0.14/0.44 % Detected problem language: tptp
% 0.14/0.45 % Proving...
% 2.09/1.41 % SZS status Started for theBenchmark.p
% 2.09/1.41 % SZS status Unsatisfiable for theBenchmark.p
% 2.09/1.41
% 2.09/1.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.09/1.41
% 2.09/1.41 % ------ iProver source info
% 2.09/1.41
% 2.09/1.41 % git: date: 2026-07-19 20:42:38 +0200
% 2.09/1.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.09/1.41 % git: non_committed_changes: false
% 2.09/1.41
% 2.09/1.41 % ------ Parsing...% successful
% 2.09/1.41
% 2.09/1.41
% 2.09/1.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.09/1.41
% 2.09/1.41 % ------ 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 %
% 2.09/1.41
% 2.09/1.41 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.09/1.41 % ------ Proving...
% 2.09/1.41 % ------ Problem Properties
% 2.09/1.41
% 2.09/1.41 %
% 2.09/1.41 % clauses 8
% 2.09/1.41 % conjectures 6
% 2.09/1.41 % EPR 3
% 2.09/1.41 % Horn 7
% 2.09/1.41 % unary 2
% 2.09/1.41 % binary 6
% 2.09/1.41 % lits 14
% 2.09/1.41 % lits eq 0
% 2.09/1.41 % fd_pure 0
% 2.09/1.41 % fd_pseudo 0
% 2.09/1.41 % fd_cond 0
% 2.09/1.41 % fd_pseudo_cond 0
% 2.09/1.41 % AC symbols 0
% 2.09/1.41
% 2.09/1.41 % ------ Schedule dynamic 5 is on
% 2.09/1.41
% 2.09/1.41 % ------ no equalities: superposition off
% 2.09/1.41
% 2.09/1.41 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.09/1.41
% 2.09/1.41
% 2.09/1.41 % ------
% 2.09/1.41 % Current options:
% 2.09/1.41 % ------
% 2.09/1.41
% 2.09/1.41
% 2.09/1.41 %
% 2.09/1.41
% 2.09/1.41 % ------ Proving...
% 2.09/1.41 %
% 2.09/1.41
% 2.09/1.41 % SZS status Unsatisfiable for theBenchmark.p
% 2.09/1.41
% 2.09/1.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.09/1.41
% 2.09/1.41
%------------------------------------------------------------------------------