%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN208-1 : 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 : n015.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 03:39:26 PM UTC 2026
% Result : Unsatisfiable 3.02s 1.24s
% Output : CNFRefutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of formulae : 59 ( 26 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 131 ( 67 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 16 ( 15 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f21,axiom,
q0(b,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_21) ).
fof(f25,axiom,
q0(d,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_25) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f72,axiom,
! [X0,X1] :
( ~ q0(X0,X0)
| ~ k1(X1)
| ~ k1(a)
| m1(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_034) ).
fof(f98,axiom,
( ~ k0(b)
| ~ m1(d,e,e)
| ~ q0(b,e)
| n1(d,d,b) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_060) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f217,axiom,
! [X0,X1] :
( ~ n1(X0,X0,X1)
| ~ k1(X1)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_179) ).
fof(f228,axiom,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_190) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_273) ).
fof(f369,negated_conjecture,
~ s3(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ s3(d,b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s3(X3,X2)
| ~ s2(X3)
| ~ q2(X0,X3,X0)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_474,plain,
q0(a,b),
inference(cnf_transformation,[],[f36]) ).
tcf(c_532,plain,
! [X0: $i,X1: $i] :
( q2(X0,X0,X0)
| ~ k1(X1)
| ~ n1(X0,X0,X1) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_547,plain,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_566,plain,
( n1(d,d,b)
| ~ k0(b)
| ~ q0(b,e)
| ~ m1(d,e,e) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_569,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X1)
| ~ k1(a)
| ~ k1(X1)
| ~ q0(X0,X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_574,plain,
q0(d,d),
inference(cnf_transformation,[],[f25]) ).
tcf(c_575,plain,
q0(b,e),
inference(cnf_transformation,[],[f21]) ).
tcf(c_587,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_599,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_646,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_652,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_653,plain,
n0(d,e),
inference(cnf_transformation,[],[f3]) ).
tcf(c_695,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_702,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_766,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_587]) ).
tcf(c_771,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_702]) ).
tcf(c_1037,plain,
( n1(d,d,b)
| ~ m1(d,e,e) ),
inference(global_subsumption_just,[status(thm)],[c_566,c_695,c_575,c_566]) ).
tcf(c_1072,plain,
! [X0: $i] :
( ~ iPr_def_20
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_701]) ).
tcf(c_1073,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_21
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_701]) ).
tcf(c_1074,plain,
( iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_701]) ).
tcf(c_1121,plain,
( ~ iPr_def_20
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1072]) ).
tcf(c_1162,plain,
! [X0: $i,X1: $i,X2: $i] :
( s3(X1,X2)
| ~ s2(X1)
| ~ m0(X0,d,X2)
| ~ q2(X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_428]) ).
tcf(c_1177,plain,
( k1(e)
| ~ n0(d,e) ),
inference(instantiation,[status(thm)],[c_645]) ).
tcf(c_1178,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_645]) ).
tcf(c_1184,plain,
( k1(a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_645]) ).
tcf(c_1189,plain,
! [X0: $i] :
( s1(a)
| ~ iPr_def_21
| ~ q0(a,X0) ),
inference(instantiation,[status(thm)],[c_1073]) ).
tcf(c_1190,plain,
( s1(a)
| ~ iPr_def_21
| ~ q0(a,b) ),
inference(instantiation,[status(thm)],[c_1189]) ).
tcf(c_1239,plain,
! [X0: $i] : m0(d,d,X0),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_1240,plain,
m0(d,d,b),
inference(instantiation,[status(thm)],[c_1239]) ).
tcf(c_1402,plain,
( m1(d,e,e)
| ~ k1(a)
| ~ k1(e)
| ~ q0(d,d) ),
inference(instantiation,[status(thm)],[c_569]) ).
tcf(c_1404,plain,
! [X0: $i] :
( s3(d,b)
| ~ s2(d)
| ~ m0(X0,d,b)
| ~ q2(X0,d,X0) ),
inference(instantiation,[status(thm)],[c_1162]) ).
tcf(c_1458,plain,
( s3(d,b)
| ~ s2(d)
| ~ q2(d,d,d)
| ~ m0(d,d,b) ),
inference(instantiation,[status(thm)],[c_1404]) ).
tcf(c_1484,plain,
! [X0: $i] :
( q2(d,d,d)
| ~ k1(X0)
| ~ n1(d,d,X0) ),
inference(instantiation,[status(thm)],[c_532]) ).
tcf(c_1487,plain,
( q2(d,d,d)
| ~ k1(b)
| ~ n1(d,d,b) ),
inference(instantiation,[status(thm)],[c_1484]) ).
tcf(c_1488,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1487,c_1458,c_1402,c_1240,c_1190,c_1184,c_1178,c_1177,c_1121,c_1074,c_1037,c_547,c_771,c_418,c_474,c_574,c_766,c_646,c_652,c_653,c_599]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN208-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39 % Computer : n015.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Fri Sep 25 00:33:11 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.43 Running EPR theorem proving
% 0.10/0.43 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
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 3.02/1.24 % SZS status Started for theBenchmark.p
% 3.02/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 3.02/1.24
% 3.02/1.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.02/1.24
% 3.02/1.24 % ------ iProver source info
% 3.02/1.24
% 3.02/1.24 % git: date: 2026-07-19 20:42:38 +0200
% 3.02/1.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.02/1.24 % git: non_committed_changes: false
% 3.02/1.24
% 3.02/1.24 % ------ Parsing...% successful
% 3.02/1.24
% 3.02/1.24
% 3.02/1.24 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.02/1.24 %
% 3.02/1.24
% 3.02/1.24 % ------ Preprocessing... sf_s rm: 173 0s sf_e sf_s rm: 0 0s sf_e %
% 3.02/1.24
% 3.02/1.24 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.02/1.24 gs_s sp: 46 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.02/1.24 % ------ Proving...
% 3.02/1.24 % ------ Problem Properties
% 3.02/1.24
% 3.02/1.24 %
% 3.02/1.24 % clauses 194
% 3.02/1.24 % conjectures 1
% 3.02/1.24 % EPR 194
% 3.02/1.24 % Horn 171
% 3.02/1.24 % unary 50
% 3.02/1.24 % binary 70
% 3.02/1.24 % lits 440
% 3.02/1.24 % lits eq 0
% 3.02/1.24 % fd_pure 0
% 3.02/1.24 % fd_pseudo 0
% 3.02/1.24 % fd_cond 0
% 3.02/1.24 % fd_pseudo_cond 0
% 3.02/1.24 % AC symbols 0
% 3.02/1.24
% 3.02/1.24 % ------ Schedule EPR non Horn non eq is on
% 3.02/1.24
% 3.02/1.24 % ------ no equalities: superposition off
% 3.02/1.24
% 3.02/1.24 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.02/1.24
% 3.02/1.24
% 3.02/1.24 % ------
% 3.02/1.24 % Current options:
% 3.02/1.24 % ------
% 3.02/1.24
% 3.02/1.24
% 3.02/1.24 %
% 3.02/1.24
% 3.02/1.24 % ------ Proving...
% 3.02/1.24 %
% 3.02/1.24
% 3.02/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 3.02/1.24
% 3.02/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.02/1.24
% 3.02/1.24
%------------------------------------------------------------------------------