%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 03:39:49 PM UTC 2026
% Result : Unsatisfiable 1.74s 16.42s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 2 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 63 ( 29 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 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 : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( f(z(X0,X1),a)
| ~ f(a,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( ~ f(z(X0,X1),a)
| f(a,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( f(X0,z(X0,X1))
| f(X1,z(X0,X1))
| f(a,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ f(X0,X1)
| f(X1,z(X0,X1))
| f(a,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ f(X0,X1)
| ~ f(X1,z(X0,X1))
| ~ f(a,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
tcf(c_55,negated_conjecture,
! [X0: $i,X1: $i] :
( f(z(X0,X1),a)
| ~ f(a,z(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i] :
( f(a,z(X0,X1))
| ~ f(z(X0,X1),a) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i] :
( f(a,z(X0,X1))
| f(X1,z(X0,X1))
| f(X0,z(X0,X1)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,negated_conjecture,
! [X0: $i,X1: $i] :
( f(a,z(X0,X1))
| f(X1,z(X0,X1))
| ~ f(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ f(X1,X0)
| ~ f(a,z(X1,X0))
| ~ f(X0,z(X1,X0)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
( f(z(a,a),a)
| ~ f(a,z(a,a)) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_64,plain,
f(a,z(a,a)),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ~ f(a,z(X0,X1))
| f(z(X0,X1),a) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( f(z(X0,X1),a)
| ~ f(a,z(X0,X1)) ),
inference(renaming,[status(thm)],[c_66]) ).
tcf(c_84,negated_conjecture,
! [X0: $i,X1: $i] :
( f(z(X0,X1),a)
| f(X1,z(X0,X1))
| ~ f(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_59,c_67]) ).
tcf(c_117,negated_conjecture,
! [X0: $i,X1: $i] :
( f(z(X0,X1),a)
| f(X1,z(X0,X1))
| ~ f(X0,X1) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_119,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ f(X1,X0)
| ~ f(a,z(X1,X0))
| ~ f(X0,z(X1,X0)) ),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_121,negated_conjecture,
! [X0: $i,X1: $i] :
( f(a,z(X0,X1))
| ~ f(z(X0,X1),a) ),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( ~ f(z(X0,X1),a)
| ~ f(a,z(z(X0,X1),a)) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_126,plain,
( ~ f(z(a,a),a)
| ~ f(a,z(z(a,a),a)) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( f(a,z(z(X0,X1),a))
| ~ f(z(z(X0,X1),a),a) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_130,plain,
( f(a,z(z(a,a),a))
| ~ f(z(z(a,a),a),a) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( f(a,z(z(X0,X1),a))
| f(z(z(X0,X1),a),a)
| ~ f(z(X0,X1),a) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_141,plain,
( f(a,z(z(a,a),a))
| f(z(z(a,a),a),a)
| ~ f(z(a,a),a) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_142,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_141,c_130,c_126,c_64,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/15.61 % Computer : n002.cluster.edu
% 0.10/15.61 % Model : x86_64 x86_64
% 0.10/15.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.61 % Memory : 8046.5625MB
% 0.10/15.61 % OS : Linux 6.8.0-71-generic
% 0.10/15.61 % CPULimit : 300
% 0.10/15.61 % WCLimit : 300
% 0.10/15.61 % DateTime : Fri Sep 25 00:59:35 UTC 2026
% 0.10/15.61 % CPUTime :
% 0.10/15.61 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/15.65 Running first-order theorem proving
% 0.10/15.65 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
% 0.10/15.66
% 0.10/15.66 % ======== iProver multi-core TPTP/SMT =========
% 0.10/15.66
% 0.10/15.66 % Detected problem language: tptp
% 0.10/15.67 % Proving...
% 1.74/16.42 % SZS status Started for theBenchmark.p
% 1.74/16.42 % SZS status Unsatisfiable for theBenchmark.p
% 1.74/16.42
% 1.74/16.42 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.74/16.42
% 1.74/16.42 % ------ iProver source info
% 1.74/16.42
% 1.74/16.42 % git: date: 2026-07-19 20:42:38 +0200
% 1.74/16.42 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.74/16.42 % git: non_committed_changes: false
% 1.74/16.42
% 1.74/16.42 % ------ Parsing...% successful
% 1.74/16.42
% 1.74/16.42
% 1.74/16.42 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.74/16.42
% 1.74/16.42 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.74/16.42
% 1.74/16.42 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.74/16.42 % ------ Proving...
% 1.74/16.42 % ------ Problem Properties
% 1.74/16.42
% 1.74/16.42 %
% 1.74/16.42 % clauses 6
% 1.74/16.42 % conjectures 6
% 1.74/16.42 % EPR 0
% 1.74/16.42 % Horn 4
% 1.74/16.42 % unary 0
% 1.74/16.42 % binary 2
% 1.74/16.42 % lits 16
% 1.74/16.42 % lits eq 0
% 1.74/16.42 % fd_pure 0
% 1.74/16.42 % fd_pseudo 0
% 1.74/16.42 % fd_cond 0
% 1.74/16.42 % fd_pseudo_cond 0
% 1.74/16.42 % AC symbols 0
% 1.74/16.42
% 1.74/16.42 % ------ Schedule dynamic 5 is on
% 1.74/16.42
% 1.74/16.42 % ------ no equalities: superposition off
% 1.74/16.42
% 1.74/16.42 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.74/16.42
% 1.74/16.42
% 1.74/16.42 % ------
% 1.74/16.42 % Current options:
% 1.74/16.42 % ------
% 1.74/16.42
% 1.74/16.42
% 1.74/16.42 %
% 1.74/16.42
% 1.74/16.42 % ------ Proving...
% 1.74/16.42 %
% 1.74/16.42
% 1.74/16.42 % SZS status Unsatisfiable for theBenchmark.p
% 1.74/16.42
% 1.74/16.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.74/16.42
% 1.74/16.42
%------------------------------------------------------------------------------