%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN113-1 : 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 : 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 03:39:13 PM UTC 2026
% Result : Unsatisfiable 1.23s 1.16s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 31 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f43,axiom,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_005) ).
fof(f155,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_117) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).
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,
~ k2(e,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_436,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_445,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_451,plain,
n0(c,d),
inference(cnf_transformation,[],[f34]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i] :
( m1(X1,X0,X1)
| ~ m0(X0,X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_570,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( k2(X2,X1)
| ~ k1(X3)
| ~ k2(X3,X1)
| ~ m1(X0,X1,X2) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i] :
( k2(X1,X1)
| ~ q1(X0,X1,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_768,negated_conjecture,
~ k2(e,d),
inference(cnf_transformation,[],[f369]) ).
tcf(c_1146,plain,
( k1(d)
| ~ n0(c,d) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1257,plain,
! [X0: $i,X1: $i] :
( k2(e,d)
| ~ k1(X1)
| ~ k2(X1,d)
| ~ m1(X0,d,e) ),
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_1270,plain,
! [X0: $i] : m0(d,d,X0),
inference(instantiation,[status(thm)],[c_436]) ).
tcf(c_1276,plain,
! [X0: $i] :
( k2(e,d)
| ~ k1(d)
| ~ k2(d,d)
| ~ m1(X0,d,e) ),
inference(instantiation,[status(thm)],[c_1257]) ).
tcf(c_1277,plain,
! [X0: $i] :
( k2(d,d)
| ~ q1(X0,d,d) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_1296,plain,
( k2(e,d)
| ~ k1(d)
| ~ k2(d,d)
| ~ m1(e,d,e) ),
inference(instantiation,[status(thm)],[c_1276]) ).
tcf(c_1297,plain,
( m1(e,d,e)
| ~ m0(d,d,e) ),
inference(instantiation,[status(thm)],[c_460]) ).
tcf(c_1341,plain,
( k2(d,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1277]) ).
tcf(c_1344,plain,
m0(d,d,e),
inference(instantiation,[status(thm)],[c_1270]) ).
tcf(c_1345,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1344,c_1341,c_1297,c_1296,c_1146,c_570,c_768,c_451,c_418,c_445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN113-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.39 % Computer : n015.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Fri Sep 25 00:15:57 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.43 Running EPR theorem proving
% 0.11/0.43 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.46 % Proving...
% 1.23/1.16 % SZS status Started for theBenchmark.p
% 1.23/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.23/1.16
% 1.23/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.23/1.16
% 1.23/1.16 % ------ iProver source info
% 1.23/1.16
% 1.23/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.23/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.23/1.16 % git: non_committed_changes: false
% 1.23/1.16
% 1.23/1.16 % ------ Parsing...% successful
% 1.23/1.16
% 1.23/1.16
% 1.23/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.23/1.16 %
% 1.23/1.16
% 1.23/1.16 % ------ Preprocessing... sf_s rm: 193 0s sf_e sf_s rm: 0 0s sf_e %
% 1.23/1.16
% 1.23/1.16 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.23/1.16 gs_s sp: 40 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.23/1.16 % ------ Proving...
% 1.23/1.16 % ------ Problem Properties
% 1.23/1.16
% 1.23/1.16 %
% 1.23/1.16 % clauses 172
% 1.23/1.16 % conjectures 1
% 1.23/1.16 % EPR 172
% 1.23/1.16 % Horn 152
% 1.23/1.16 % unary 50
% 1.23/1.16 % binary 62
% 1.23/1.16 % lits 376
% 1.23/1.16 % lits eq 0
% 1.23/1.16 % fd_pure 0
% 1.23/1.16 % fd_pseudo 0
% 1.23/1.16 % fd_cond 0
% 1.23/1.16 % fd_pseudo_cond 0
% 1.23/1.16 % AC symbols 0
% 1.23/1.16
% 1.23/1.16 % ------ Schedule EPR non Horn non eq is on
% 1.23/1.16
% 1.23/1.16 % ------ no equalities: superposition off
% 1.23/1.16
% 1.23/1.16 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.23/1.16
% 1.23/1.16
% 1.23/1.16 % ------
% 1.23/1.16 % Current options:
% 1.23/1.16 % ------
% 1.23/1.16
% 1.23/1.16
% 1.23/1.16 %
% 1.23/1.16
% 1.23/1.16 % ------ Proving...
% 1.23/1.16 %
% 1.23/1.16
% 1.23/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.23/1.16
% 1.23/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.23/1.16
% 1.23/1.16
%------------------------------------------------------------------------------