%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN192-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 03:39:24 PM UTC 2026
% Result : Unsatisfiable 3.07s 1.22s
% Output : CNFRefutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 47 ~; 44 |; 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 : 14 ( 13 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_15) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_088) ).
fof(f138,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_100) ).
fof(f179,axiom,
! [X0] :
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_141) ).
fof(f215,axiom,
! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_177) ).
fof(f278,axiom,
! [X2,X0,X1] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
fof(f293,axiom,
! [X2,X0,X1] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).
fof(f336,axiom,
! [X2,X3,X0,X1] :
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| ~ n3(X0)
| r4(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_298) ).
fof(f369,negated_conjecture,
~ r4(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ r4(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_437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r4(X1)
| ~ n3(X1)
| ~ q3(X2,X3)
| ~ p0(X0,X1) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_529,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i,X2: $i] :
( n3(X2)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_568,plain,
! [X0: $i,X1: $i,X2: $i] :
( q3(X1,X2)
| ~ n0(X0,X1)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_587,plain,
( p1(a,a,a)
| ~ l0(a) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_601,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_611,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_614,plain,
! [X0: $i,X1: $i] :
( q1(X1,X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_619,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_623,plain,
n0(a,b),
inference(cnf_transformation,[],[f15]) ).
tcf(c_1088,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_34
| ~ q3(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_437]) ).
tcf(c_1089,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_35
| r4(X1)
| ~ n3(X1)
| ~ p0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_437]) ).
tcf(c_1090,plain,
( iPr_def_35
| iPr_def_34 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_437]) ).
tcf(c_1150,plain,
( ~ iPr_def_34
| ~ q3(b,b) ),
inference(instantiation,[status(thm)],[c_1088]) ).
tcf(c_1214,plain,
( p2(a,a,a)
| ~ q1(a,a,a) ),
inference(instantiation,[status(thm)],[c_422]) ).
tcf(c_1332,plain,
( q1(a,a,a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_614]) ).
tcf(c_1435,plain,
! [X0: $i] :
( q3(b,X0)
| ~ n0(a,b)
| ~ q2(a,b,X0) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_1436,plain,
( q3(b,b)
| ~ n0(a,b)
| ~ q2(a,b,b) ),
inference(instantiation,[status(thm)],[c_1435]) ).
tcf(c_1539,plain,
p0(b,a),
inference(instantiation,[status(thm)],[c_529]) ).
tcf(c_1546,plain,
( q2(a,b,b)
| ~ k0(b)
| ~ p1(a,a,a) ),
inference(instantiation,[status(thm)],[c_602]) ).
tcf(c_1895,plain,
! [X0: $i] :
( r4(a)
| ~ iPr_def_35
| ~ n3(a)
| ~ p0(X0,a) ),
inference(instantiation,[status(thm)],[c_1089]) ).
tcf(c_1896,plain,
( r4(a)
| ~ iPr_def_35
| ~ n3(a)
| ~ p0(b,a) ),
inference(instantiation,[status(thm)],[c_1895]) ).
tcf(c_2028,plain,
! [X0: $i,X1: $i] :
( n3(a)
| ~ p2(X0,X1,a) ),
inference(instantiation,[status(thm)],[c_561]) ).
tcf(c_2194,plain,
( n3(a)
| ~ p2(a,a,a) ),
inference(instantiation,[status(thm)],[c_2028]) ).
tcf(c_2206,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2194,c_1896,c_1546,c_1539,c_1436,c_1332,c_1214,c_1150,c_1090,c_587,c_619,c_623,c_418,c_601,c_611]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN192-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 00:22:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running EPR theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 3.07/1.22 % SZS status Started for theBenchmark.p
% 3.07/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 3.07/1.22
% 3.07/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.07/1.22
% 3.07/1.22 % ------ iProver source info
% 3.07/1.22
% 3.07/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 3.07/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.07/1.22 % git: non_committed_changes: false
% 3.07/1.22
% 3.07/1.22 % ------ Parsing...% successful
% 3.07/1.22
% 3.07/1.22
% 3.07/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.07/1.22 %
% 3.07/1.22
% 3.07/1.22 % ------ Preprocessing... sf_s rm: 123 0s sf_e sf_s rm: 0 0s sf_e %
% 3.07/1.22
% 3.07/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.07/1.22 gs_s sp: 66 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.07/1.22 % ------ Proving...
% 3.07/1.22 % ------ Problem Properties
% 3.07/1.22
% 3.07/1.22 %
% 3.07/1.22 % clauses 260
% 3.07/1.22 % conjectures 1
% 3.07/1.22 % EPR 260
% 3.07/1.22 % Horn 227
% 3.07/1.22 % unary 50
% 3.07/1.22 % binary 106
% 3.07/1.22 % lits 615
% 3.07/1.23 % lits eq 0
% 3.07/1.23 % fd_pure 0
% 3.07/1.23 % fd_pseudo 0
% 3.07/1.23 % fd_cond 0
% 3.07/1.23 % fd_pseudo_cond 0
% 3.07/1.23 % AC symbols 0
% 3.07/1.23
% 3.07/1.23 % ------ Schedule EPR non Horn non eq is on
% 3.07/1.23
% 3.07/1.23 % ------ no equalities: superposition off
% 3.07/1.23
% 3.07/1.23 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.07/1.23
% 3.07/1.23
% 3.07/1.23 % ------
% 3.07/1.23 % Current options:
% 3.07/1.23 % ------
% 3.07/1.23
% 3.07/1.23
% 3.07/1.23 %
% 3.07/1.23
% 3.07/1.23 % ------ Proving...
% 3.07/1.23 %
% 3.07/1.23
% 3.07/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 3.07/1.23
% 3.07/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.07/1.23
% 3.07/1.23
%------------------------------------------------------------------------------