%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN111-1 : 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 : n001.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 0.67s 1.12s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 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 : 24 ( 0 sgn 24 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f158,axiom,
( ~ r0(b)
| q1(b,b,b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_120) ).
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(c,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_424,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_426,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_441,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ k0(X1)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_573,plain,
( q1(b,b,b)
| ~ r0(b) ),
inference(cnf_transformation,[],[f158]) ).
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(c,b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_802,plain,
( k2(b,b)
| ~ q1(b,b,b) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_1150,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1173,plain,
! [X0: $i] :
( m1(c,X0,c)
| ~ l0(c)
| ~ k0(X0) ),
inference(instantiation,[status(thm)],[c_476]) ).
tcf(c_1174,plain,
( m1(c,b,c)
| ~ k0(b)
| ~ l0(c) ),
inference(instantiation,[status(thm)],[c_1173]) ).
tcf(c_1257,plain,
! [X0: $i,X1: $i] :
( k2(c,b)
| ~ k1(X1)
| ~ k2(X1,b)
| ~ m1(X0,b,c) ),
inference(instantiation,[status(thm)],[c_580]) ).
tcf(c_1298,plain,
! [X0: $i] :
( k2(c,b)
| ~ k1(X0)
| ~ k2(X0,b)
| ~ m1(c,b,c) ),
inference(instantiation,[status(thm)],[c_1257]) ).
tcf(c_1300,plain,
( k2(c,b)
| ~ k1(b)
| ~ k2(b,b)
| ~ m1(c,b,c) ),
inference(instantiation,[status(thm)],[c_1298]) ).
tcf(c_1301,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1300,c_1174,c_1150,c_802,c_573,c_768,c_424,c_426,c_441,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN111-1 : 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 : n001.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 00:18:08 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running EPR theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 0.67/1.12 % SZS status Started for theBenchmark.p
% 0.67/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/1.12
% 0.67/1.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.67/1.12
% 0.67/1.12 % ------ iProver source info
% 0.67/1.12
% 0.67/1.12 % git: date: 2026-07-19 20:42:38 +0200
% 0.67/1.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.67/1.12 % git: non_committed_changes: false
% 0.67/1.12
% 0.67/1.12 % ------ Parsing...% successful
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.67/1.12 %
% 0.67/1.12
% 0.67/1.12 % ------ Preprocessing... sf_s rm: 192 0s sf_e sf_s rm: 0 0s sf_e %
% 0.67/1.12
% 0.67/1.12 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.67/1.12 gs_s sp: 40 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.67/1.12 % ------ Proving...
% 0.67/1.12 % ------ Problem Properties
% 0.67/1.12
% 0.67/1.12 %
% 0.67/1.12 % clauses 172
% 0.67/1.12 % conjectures 1
% 0.67/1.12 % EPR 172
% 0.67/1.12 % Horn 152
% 0.67/1.12 % unary 50
% 0.67/1.12 % binary 62
% 0.67/1.12 % lits 376
% 0.67/1.12 % lits eq 0
% 0.67/1.12 % fd_pure 0
% 0.67/1.12 % fd_pseudo 0
% 0.67/1.12 % fd_cond 0
% 0.67/1.12 % fd_pseudo_cond 0
% 0.67/1.12 % AC symbols 0
% 0.67/1.12
% 0.67/1.12 % ------ Schedule EPR non Horn non eq is on
% 0.67/1.12
% 0.67/1.12 % ------ no equalities: superposition off
% 0.67/1.12
% 0.67/1.12 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 % ------
% 0.67/1.12 % Current options:
% 0.67/1.12 % ------
% 0.67/1.12
% 0.67/1.12
% 0.67/1.12 %
% 0.67/1.12
% 0.67/1.12 % ------ Proving...
% 0.67/1.12 %
% 0.67/1.12
% 0.67/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 0.67/1.12
% 0.67/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.67/1.12
% 0.67/1.12
%------------------------------------------------------------------------------