%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN332-1 : 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 : n008.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 03:39:44 PM UTC 2026
% Result : Unsatisfiable 1.80s 1.28s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 69 ( 32 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 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 : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( f(X0,z(X0,X1))
| f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ f(X0,z(X0,X1))
| ~ f(X1,X0)
| ~ f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( ~ f(z(X0,X1),X0)
| f(X0,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( f(z(X0,X1),X0)
| ~ f(X0,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( f(X1,z(X0,X1))
| ~ f(X0,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
! [X0,X1] :
( ~ f(z(X1,X0),z(X1,X0))
| f(X1,X0)
| ~ f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ f(z(X0,X1),X1)
| f(X1,X0)
| f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
tcf(c_63,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X0,X1)
| f(X0,z(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_65,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ f(X1,X0)
| ~ f(X0,X1)
| ~ f(X0,z(X0,X1)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X0,z(X0,X1))
| ~ f(z(X0,X1),X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,negated_conjecture,
! [X0: $i,X1: $i] :
( f(z(X0,X1),X0)
| ~ f(X0,z(X0,X1)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_69,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X1,z(X0,X1))
| ~ f(X0,z(X0,X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X0,X1)
| ~ f(X1,X0)
| ~ f(z(X0,X1),z(X0,X1)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_75,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X1,X0)
| f(X0,X1)
| ~ f(z(X0,X1),X1) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( f(X0,z(X0,X1))
| ~ f(z(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_66]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( f(z(X0,X1),X0)
| f(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_63,c_67]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( f(X0,X1)
| f(z(X0,X1),X0) ),
inference(renaming,[status(thm)],[c_91]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( f(X1,z(X0,X1))
| ~ f(z(X0,X1),X0) ),
inference(prop_impl_just,[status(thm)],[c_69,c_66]) ).
tcf(c_131,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ f(X1,X0)
| ~ f(X0,X1)
| ~ f(z(X0,X1),X0) ),
inference(bin_hyper_res,[status(thm)],[c_65,c_87]) ).
tcf(c_201,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ f(X1,X0)
| ~ f(X0,X1)
| ~ f(z(X0,X1),X0) ),
inference(demodulation,[status(thm)],[c_131]) ).
tcf(c_203,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X1,X0)
| f(X0,X1)
| ~ f(z(X0,X1),X1) ),
inference(demodulation,[status(thm)],[c_75]) ).
tcf(c_208,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X0,X1)
| ~ f(X1,X0)
| ~ f(z(X0,X1),z(X0,X1)) ),
inference(demodulation,[status(thm)],[c_70]) ).
tcf(c_508,plain,
! [X0: $i] : f(X0,X0),
inference(superposition,[status(thm)],[c_92,c_203]) ).
tcf(c_524,plain,
! [X0: $i,X1: $i] :
( f(X1,X0)
| f(X0,z(X1,X0)) ),
inference(superposition,[status(thm)],[c_92,c_97]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i] :
( f(X1,X0)
| f(X0,z(X1,X0)) ),
inference(superposition,[status(thm)],[c_92,c_97]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i] :
( f(X1,X0)
| ~ f(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_208,c_508]) ).
tcf(c_581,plain,
! [X0: $i,X1: $i] :
( f(X1,X0)
| ~ f(z(X0,X1),X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_203,c_571]) ).
tcf(c_637,plain,
! [X0: $i,X1: $i] :
( f(X0,X1)
| f(z(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_524,c_571]) ).
tcf(c_641,plain,
! [X0: $i,X1: $i] : f(X1,X0),
inference(global_subsumption_just,[status(thm)],[c_533,c_571,c_581,c_637]) ).
tcf(c_642,plain,
! [X0: $i,X1: $i] : f(X0,X1),
inference(renaming,[status(thm)],[c_641]) ).
tcf(c_643,negated_conjecture,
! [X0: $i,X1: $i] : ~ f(z(X0,X1),X0),
inference(global_subsumption_just,[status(thm)],[c_201,c_131,c_571,c_642]) ).
tcf(c_646,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_643,c_642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN332-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 00:52:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.80/1.28 % SZS status Started for theBenchmark.p
% 1.80/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.80/1.28
% 1.80/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.80/1.28
% 1.80/1.28 % ------ iProver source info
% 1.80/1.28
% 1.80/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.80/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.80/1.28 % git: non_committed_changes: false
% 1.80/1.28
% 1.80/1.28 % ------ Parsing...% successful
% 1.80/1.28
% 1.80/1.28
% 1.80/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.80/1.28
% 1.80/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.80/1.28
% 1.80/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.80/1.28 % ------ Proving...
% 1.80/1.28 % ------ Problem Properties
% 1.80/1.28
% 1.80/1.28 %
% 1.80/1.28 % clauses 14
% 1.80/1.28 % conjectures 11
% 1.80/1.28 % EPR 0
% 1.80/1.28 % Horn 8
% 1.80/1.28 % unary 0
% 1.80/1.28 % binary 8
% 1.80/1.28 % lits 34
% 1.80/1.28 % lits eq 0
% 1.80/1.28 % fd_pure 0
% 1.80/1.28 % fd_pseudo 0
% 1.80/1.28 % fd_cond 0
% 1.80/1.28 % fd_pseudo_cond 0
% 1.80/1.28 % AC symbols 0
% 1.80/1.28
% 1.80/1.28 % ------ Schedule dynamic 5 is on
% 1.80/1.28
% 1.80/1.28 % ------ no equalities: superposition off
% 1.80/1.28
% 1.80/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.80/1.28
% 1.80/1.28
% 1.80/1.28 % ------
% 1.80/1.28 % Current options:
% 1.80/1.28 % ------
% 1.80/1.28
% 1.80/1.28
% 1.80/1.28 %
% 1.80/1.28
% 1.80/1.28 % ------ Proving...
% 1.80/1.28 %
% 1.80/1.28
% 1.80/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.80/1.28
% 1.80/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.80/1.28
% 1.80/1.28
%------------------------------------------------------------------------------