%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN229-1 : 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 : n009.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 0.69s 1.11s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 33 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 12 ( 11 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
fof(f227,axiom,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f258,axiom,
! [X0,X1] :
( ~ l1(X0,X0)
| ~ s2(X1)
| l3(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_220) ).
fof(f369,negated_conjecture,
! [X0] : ~ l3(c,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ l3(c,X0),
inference(cnf_transformation,[],[f369]) ).
tcf(c_438,plain,
! [X0: $i,X1: $i] :
( l3(X0,X0)
| ~ s2(X1)
| ~ l1(X0,X0) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_532,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_578,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_597,plain,
! [X0: $i] :
( s2(X0)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_707,plain,
n0(d,c),
inference(cnf_transformation,[],[f26]) ).
tcf(c_725,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_729,plain,
! [X0: $i] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_739,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_741,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_755,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_532]) ).
tcf(c_759,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_725]) ).
tcf(c_763,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_739]) ).
tcf(c_796,plain,
( q2(b,b,b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_729]) ).
tcf(c_819,plain,
( s2(b)
| ~ s1(b)
| ~ q2(b,b,b) ),
inference(instantiation,[status(thm)],[c_597]) ).
tcf(c_1084,plain,
! [X0: $i] :
( ~ iPr_def_45
| ~ s2(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_45])],[c_438]) ).
tcf(c_1085,plain,
! [X0: $i] :
( ~ iPr_def_46
| l3(X0,X0)
| ~ l1(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_46])],[c_438]) ).
tcf(c_1086,plain,
( iPr_def_46
| iPr_def_45 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).
tcf(c_1147,plain,
( ~ iPr_def_45
| ~ s2(b) ),
inference(instantiation,[status(thm)],[c_1084]) ).
tcf(c_1207,plain,
~ l3(c,c),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1247,plain,
( l1(c,c)
| ~ n0(d,c) ),
inference(instantiation,[status(thm)],[c_578]) ).
tcf(c_1601,plain,
( l3(c,c)
| ~ iPr_def_46
| ~ l1(c,c) ),
inference(instantiation,[status(thm)],[c_1085]) ).
tcf(c_1602,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1601,c_1247,c_1207,c_1147,c_1086,c_819,c_796,c_763,c_759,c_755,c_707,c_741]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN229-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n009.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 00:33:59 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running EPR theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 0.69/1.11 % SZS status Started for theBenchmark.p
% 0.69/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/1.11
% 0.69/1.11 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.69/1.11
% 0.69/1.11 % ------ iProver source info
% 0.69/1.11
% 0.69/1.11 % git: date: 2026-07-19 20:42:38 +0200
% 0.69/1.11 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.69/1.11 % git: non_committed_changes: false
% 0.69/1.11
% 0.69/1.11 % ------ Parsing...% successful
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 0.69/1.11 %
% 0.69/1.11
% 0.69/1.11 % ------ Preprocessing... sf_s rm: 88 0s sf_e sf_s rm: 0 0s sf_e %
% 0.69/1.11
% 0.69/1.11 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.69/1.11 gs_s sp: 80 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.69/1.11 % ------ Proving...
% 0.69/1.11 % ------ Problem Properties
% 0.69/1.11
% 0.69/1.11 %
% 0.69/1.11 % clauses 299
% 0.69/1.11 % conjectures 1
% 0.69/1.11 % EPR 299
% 0.69/1.11 % Horn 259
% 0.69/1.11 % unary 50
% 0.69/1.11 % binary 128
% 0.69/1.11 % lits 712
% 0.69/1.11 % lits eq 0
% 0.69/1.11 % fd_pure 0
% 0.69/1.11 % fd_pseudo 0
% 0.69/1.11 % fd_cond 0
% 0.69/1.11 % fd_pseudo_cond 0
% 0.69/1.11 % AC symbols 0
% 0.69/1.11
% 0.69/1.11 % ------ Schedule EPR non Horn non eq is on
% 0.69/1.11
% 0.69/1.11 % ------ no equalities: superposition off
% 0.69/1.11
% 0.69/1.11 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 % ------
% 0.69/1.11 % Current options:
% 0.69/1.11 % ------
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 %
% 0.69/1.11
% 0.69/1.11 % ------ Proving...
% 0.69/1.11 %
% 0.69/1.11
% 0.69/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/1.11
% 0.69/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.69/1.11
% 0.69/1.11
%------------------------------------------------------------------------------