%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN107-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 03:39:12 PM UTC 2026
% Result : Unsatisfiable 2.70s 1.24s
% Output : CNFRefutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f155,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_117) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f369,negated_conjecture,
! [X0] : ~ k2(X0,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ k2(X0,d),
inference(cnf_transformation,[],[f369]) ).
tcf(c_442,plain,
! [X0: $i,X1: $i] :
( k2(X1,X1)
| ~ q1(X0,X1,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_653,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_666,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_684,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_1112,plain,
! [X0: $i] :
( k2(d,d)
| ~ q1(X0,d,d) ),
inference(instantiation,[status(thm)],[c_442]) ).
tcf(c_1113,plain,
~ k2(d,d),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1236,plain,
( k2(d,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1112]) ).
tcf(c_1237,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1236,c_1113,c_653,c_666,c_684]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN107-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n004.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 00:11:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running EPR theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.70/1.24 % SZS status Started for theBenchmark.p
% 2.70/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 2.70/1.24
% 2.70/1.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.70/1.24
% 2.70/1.24 % ------ iProver source info
% 2.70/1.24
% 2.70/1.24 % git: date: 2026-07-19 20:42:38 +0200
% 2.70/1.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.70/1.24 % git: non_committed_changes: false
% 2.70/1.24
% 2.70/1.24 % ------ Parsing...% successful
% 2.70/1.24
% 2.70/1.24
% 2.70/1.24 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.70/1.24 %
% 2.70/1.24
% 2.70/1.24 % ------ Preprocessing... sf_s rm: 178 0s sf_e sf_s rm: 0 0s sf_e %
% 2.70/1.24
% 2.70/1.24 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.70/1.24 gs_s sp: 40 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.70/1.24 % ------ Proving...
% 2.70/1.24 % ------ Problem Properties
% 2.70/1.24
% 2.70/1.24 %
% 2.70/1.24 % clauses 172
% 2.70/1.24 % conjectures 1
% 2.70/1.24 % EPR 172
% 2.70/1.24 % Horn 152
% 2.70/1.24 % unary 50
% 2.70/1.24 % binary 62
% 2.70/1.24 % lits 376
% 2.70/1.24 % lits eq 0
% 2.70/1.24 % fd_pure 0
% 2.70/1.24 % fd_pseudo 0
% 2.70/1.24 % fd_cond 0
% 2.70/1.24 % fd_pseudo_cond 0
% 2.70/1.24 % AC symbols 0
% 2.70/1.24
% 2.70/1.24 % ------ Schedule EPR non Horn non eq is on
% 2.70/1.24
% 2.70/1.24 % ------ no equalities: superposition off
% 2.70/1.24
% 2.70/1.24 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.70/1.24
% 2.70/1.24
% 2.70/1.24 % ------
% 2.70/1.24 % Current options:
% 2.70/1.24 % ------
% 2.70/1.24
% 2.70/1.24
% 2.70/1.24 %
% 2.70/1.24
% 2.70/1.24 % ------ Proving...
% 2.70/1.24 %
% 2.70/1.24
% 2.70/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 2.70/1.24
% 2.70/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.70/1.24
% 2.70/1.24
%------------------------------------------------------------------------------