%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN225-1 : 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 : n011.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 03:39:29 PM UTC 2026
% Result : Unsatisfiable 2.82s 1.22s
% Output : CNFRefutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f130,axiom,
! [X2,X3,X0,X1] :
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_092) ).
fof(f179,axiom,
! [X0] :
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_141) ).
fof(f253,axiom,
! [X0,X1] :
( ~ p2(X0,X1,X0)
| ~ r0(X0)
| l3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_215) ).
fof(f369,negated_conjecture,
~ l3(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ l3(b,a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_422,plain,
! [X0: $i] :
( p2(X0,a,X0)
| ~ q1(X0,a,X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_448,plain,
! [X0: $i,X1: $i] :
( l3(X0,X1)
| ~ r0(X0)
| ~ p2(X0,X1,X0) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_530,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( q1(X3,X1,X3)
| ~ p0(X2,X3)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_540,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_706,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_755,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_813,plain,
( p2(b,a,b)
| ~ q1(b,a,b) ),
inference(instantiation,[status(thm)],[c_422]) ).
tcf(c_1208,plain,
( l3(b,a)
| ~ r0(b)
| ~ p2(b,a,b) ),
inference(instantiation,[status(thm)],[c_448]) ).
tcf(c_1432,plain,
! [X0: $i,X1: $i] :
( q1(X1,a,X1)
| ~ n0(b,a)
| ~ p0(X0,X1) ),
inference(instantiation,[status(thm)],[c_532]) ).
tcf(c_1433,plain,
( q1(b,a,b)
| ~ p0(b,b)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_1432]) ).
tcf(c_1434,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1433,c_1208,c_813,c_418,c_755,c_706,c_530]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN225-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:33:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running EPR theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.82/1.22 % SZS status Started for theBenchmark.p
% 2.82/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.82/1.22
% 2.82/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.82/1.22
% 2.82/1.22 % ------ iProver source info
% 2.82/1.22
% 2.82/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 2.82/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.82/1.22 % git: non_committed_changes: false
% 2.82/1.22
% 2.82/1.22 % ------ Parsing...% successful
% 2.82/1.22
% 2.82/1.22
% 2.82/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.82/1.22 %
% 2.82/1.22
% 2.82/1.22 % ------ Preprocessing... sf_s rm: 87 0s sf_e sf_s rm: 0 0s sf_e %
% 2.82/1.22
% 2.82/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.82/1.22 gs_s sp: 80 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.82/1.22 % ------ Proving...
% 2.82/1.22 % ------ Problem Properties
% 2.82/1.22
% 2.82/1.22 %
% 2.82/1.22 % clauses 299
% 2.82/1.22 % conjectures 1
% 2.82/1.22 % EPR 299
% 2.82/1.22 % Horn 259
% 2.82/1.22 % unary 50
% 2.82/1.22 % binary 128
% 2.82/1.22 % lits 712
% 2.82/1.22 % lits eq 0
% 2.82/1.22 % fd_pure 0
% 2.82/1.22 % fd_pseudo 0
% 2.82/1.22 % fd_cond 0
% 2.82/1.22 % fd_pseudo_cond 0
% 2.82/1.22 % AC symbols 0
% 2.82/1.22
% 2.82/1.22 % ------ Schedule EPR non Horn non eq is on
% 2.82/1.22
% 2.82/1.22 % ------ no equalities: superposition off
% 2.82/1.22
% 2.82/1.22 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.82/1.22
% 2.82/1.22
% 2.82/1.22 % ------
% 2.82/1.22 % Current options:
% 2.82/1.22 % ------
% 2.82/1.22
% 2.82/1.22
% 2.82/1.22 %
% 2.82/1.22
% 2.82/1.22 % ------ Proving...
% 2.82/1.22 %
% 2.82/1.22
% 2.82/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 2.82/1.22
% 2.82/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.82/1.22
% 2.82/1.22
%------------------------------------------------------------------------------