%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN224-1 : 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 2.57s 6.23s
% Output : CNFRefutation 2.57s
% 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 : 2 ( 2 usr; 2 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(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
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(a,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ l3(a,X0),
inference(cnf_transformation,[],[f369]) ).
tcf(c_443,plain,
! [X0: $i,X1: $i] :
( l3(X0,X0)
| ~ s2(X1)
| ~ l1(X0,X0) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_540,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_613,plain,
! [X0: $i] :
( s2(X0)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_696,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_700,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_706,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_722,plain,
! [X0: $i] :
( q2(X0,X0,X0)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_736,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_755,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_540]) ).
tcf(c_759,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_736]) ).
tcf(c_766,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_696]) ).
tcf(c_798,plain,
( q2(b,b,b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_722]) ).
tcf(c_819,plain,
( s2(b)
| ~ s1(b)
| ~ q2(b,b,b) ),
inference(instantiation,[status(thm)],[c_613]) ).
tcf(c_1081,plain,
! [X0: $i] :
( ~ iPr_def_43
| ~ s2(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_43])],[c_443]) ).
tcf(c_1082,plain,
! [X0: $i] :
( ~ iPr_def_44
| l3(X0,X0)
| ~ l1(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_44])],[c_443]) ).
tcf(c_1083,plain,
( iPr_def_44
| iPr_def_43 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).
tcf(c_1147,plain,
( ~ iPr_def_43
| ~ s2(b) ),
inference(instantiation,[status(thm)],[c_1081]) ).
tcf(c_1204,plain,
~ l3(a,a),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_1255,plain,
( l1(a,a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_602]) ).
tcf(c_1619,plain,
( l3(a,a)
| ~ iPr_def_44
| ~ l1(a,a) ),
inference(instantiation,[status(thm)],[c_1082]) ).
tcf(c_1620,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1619,c_1255,c_1204,c_1147,c_1083,c_819,c_798,c_766,c_759,c_755,c_706,c_700]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN224-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n011.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Fri Sep 25 00:33:05 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41 Running EPR theorem proving
% 0.13/5.41 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
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 2.57/6.23 % SZS status Started for theBenchmark.p
% 2.57/6.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.57/6.23
% 2.57/6.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.57/6.23
% 2.57/6.23 % ------ iProver source info
% 2.57/6.23
% 2.57/6.23 % git: date: 2026-07-19 20:42:38 +0200
% 2.57/6.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.57/6.23 % git: non_committed_changes: false
% 2.57/6.23
% 2.57/6.23 % ------ Parsing...% successful
% 2.57/6.23
% 2.57/6.23
% 2.57/6.23 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.57/6.23 %
% 2.57/6.23
% 2.57/6.23 % ------ Preprocessing... sf_s rm: 88 0s sf_e sf_s rm: 0 0s sf_e %
% 2.57/6.23
% 2.57/6.23 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.57/6.23 gs_s sp: 80 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.57/6.23 % ------ Proving...
% 2.57/6.23 % ------ Problem Properties
% 2.57/6.23
% 2.57/6.23 %
% 2.57/6.23 % clauses 299
% 2.57/6.23 % conjectures 1
% 2.57/6.23 % EPR 299
% 2.57/6.23 % Horn 259
% 2.57/6.23 % unary 50
% 2.57/6.23 % binary 128
% 2.57/6.23 % lits 712
% 2.57/6.23 % lits eq 0
% 2.57/6.23 % fd_pure 0
% 2.57/6.23 % fd_pseudo 0
% 2.57/6.23 % fd_cond 0
% 2.57/6.23 % fd_pseudo_cond 0
% 2.57/6.23 % AC symbols 0
% 2.57/6.23
% 2.57/6.23 % ------ Schedule EPR non Horn non eq is on
% 2.57/6.23
% 2.57/6.23 % ------ no equalities: superposition off
% 2.57/6.23
% 2.57/6.23 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.57/6.23
% 2.57/6.23
% 2.57/6.23 % ------
% 2.57/6.23 % Current options:
% 2.57/6.23 % ------
% 2.57/6.23
% 2.57/6.23
% 2.57/6.23 %
% 2.57/6.23
% 2.57/6.23 % ------ Proving...
% 2.57/6.23 %
% 2.57/6.23
% 2.57/6.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.57/6.23
% 2.57/6.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.57/6.23
% 2.57/6.23
%------------------------------------------------------------------------------