%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN140-1 : 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 : 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 03:39:17 PM UTC 2026
% Result : Unsatisfiable 1.59s 1.11s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 21
% Syntax : Number of formulae : 75 ( 20 unt; 0 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 221 ( 113 ~; 108 |; 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 : 21 ( 20 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 88 ( 0 sgn 88 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
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(f88,axiom,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_050) ).
fof(f92,axiom,
! [X2,X0,X1] :
( ~ n1(X0,X1,X0)
| ~ l1(X2,X0)
| ~ l0(X2)
| n1(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_054) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_088) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
fof(f215,axiom,
! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).
fof(f220,axiom,
! [X2,X0,X1] :
( ~ q2(X1,X2,X0)
| ~ n1(X1,X0,X2)
| ~ p1(X0,X0,X2)
| q2(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_182) ).
fof(f227,axiom,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
fof(f311,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).
fof(f317,axiom,
! [X2,X0,X1] :
( ~ s3(a,X0)
| ~ l2(X2,X1)
| m4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_279) ).
fof(f369,negated_conjecture,
! [X0] : ~ m4(b,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
! [X0: $i] : ~ m4(b,X0),
inference(cnf_transformation,[],[f369]) ).
tcf(c_435,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i,X2: $i] :
( q2(X1,X0,X1)
| ~ q2(X0,X2,X1)
| ~ p1(X1,X1,X2)
| ~ n1(X0,X1,X2) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i,X2: $i] :
( n1(X0,X1,X1)
| ~ l0(X2)
| ~ l1(X2,X0)
| ~ n1(X0,X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i] :
( n1(X1,X0,X1)
| ~ s0(b)
| ~ l0(X1)
| ~ p0(b,X0) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_501,plain,
! [X0: $i,X1: $i] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_507,plain,
( p1(a,a,a)
| ~ l0(a) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_521,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_569,plain,
q0(d,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_577,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_579,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l2(X2,X2)
| ~ s1(X1)
| ~ p0(X3,X3)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_675,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_677,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_690,plain,
! [X0: $i] :
( s2(X0)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_692,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_751,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_766,plain,
! [X0: $i,X1: $i,X2: $i] :
( m4(X2,X1)
| ~ s3(a,X2)
| ~ l2(X0,X1) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_767,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_770,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_435]) ).
tcf(c_771,plain,
~ m4(b,b),
inference(instantiation,[status(thm)],[c_418]) ).
tcf(c_773,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_571]) ).
tcf(c_774,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_751]) ).
tcf(c_794,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_841,plain,
( m4(b,b)
| ~ s3(a,b)
| ~ l2(b,b) ),
inference(instantiation,[status(thm)],[c_766]) ).
tcf(c_963,plain,
! [X0: $i] :
( s2(X0)
| ~ q2(b,X0,b) ),
inference(global_subsumption_just,[status(thm)],[c_690,c_770,c_774,c_690]) ).
tcf(c_1034,plain,
! [X0: $i,X1: $i] :
( n1(X1,X0,X1)
| ~ l0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_489,c_677,c_435,c_489]) ).
tcf(c_1035,plain,
! [X0: $i,X1: $i] :
( n1(X0,X1,X0)
| ~ l0(X0) ),
inference(renaming,[status(thm)],[c_1034]) ).
tcf(c_1073,plain,
! [X0: $i] :
( ~ iPr_def_18
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_619]) ).
tcf(c_1074,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_19
| ~ s1(X1)
| l2(X2,X2)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_619]) ).
tcf(c_1075,plain,
( iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_619]) ).
tcf(c_1076,plain,
! [X0: $i] :
( ~ iPr_def_20
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_667]) ).
tcf(c_1077,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_21
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_667]) ).
tcf(c_1078,plain,
( iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_667]) ).
tcf(c_1125,plain,
( ~ iPr_def_20
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1076]) ).
tcf(c_1129,plain,
( ~ iPr_def_18
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1073]) ).
tcf(c_1166,plain,
! [X0: $i] :
( s1(d)
| ~ iPr_def_21
| ~ q0(d,X0) ),
inference(instantiation,[status(thm)],[c_1077]) ).
tcf(c_1167,plain,
( s1(d)
| ~ iPr_def_21
| ~ q0(d,b) ),
inference(instantiation,[status(thm)],[c_1166]) ).
tcf(c_1182,plain,
( l1(a,a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_675]) ).
tcf(c_1244,plain,
! [X0: $i,X1: $i] :
( l2(X1,X1)
| ~ iPr_def_19
| ~ s1(d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1074]) ).
tcf(c_1245,plain,
( l2(b,b)
| ~ iPr_def_19
| ~ s1(d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1244]) ).
tcf(c_1304,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_767]) ).
tcf(c_1475,plain,
! [X0: $i,X1: $i] :
( s3(a,X1)
| ~ s2(a)
| ~ q2(X0,a,X0)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1304]) ).
tcf(c_1476,plain,
( s3(a,b)
| ~ s2(a)
| ~ q2(b,a,b)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1475]) ).
tcf(c_1479,plain,
( s2(a)
| ~ q2(b,a,b) ),
inference(instantiation,[status(thm)],[c_963]) ).
tcf(c_1584,plain,
! [X0: $i] :
( q2(b,a,b)
| ~ q2(a,X0,b)
| ~ p1(b,b,X0)
| ~ n1(a,b,X0) ),
inference(instantiation,[status(thm)],[c_470]) ).
tcf(c_1585,plain,
( q2(b,a,b)
| ~ q2(a,b,b)
| ~ p1(b,b,b)
| ~ n1(a,b,b) ),
inference(instantiation,[status(thm)],[c_1584]) ).
tcf(c_1633,plain,
( q2(a,b,b)
| ~ k0(b)
| ~ p1(a,a,a) ),
inference(instantiation,[status(thm)],[c_501]) ).
tcf(c_1653,plain,
! [X0: $i] :
( n1(a,b,b)
| ~ l0(X0)
| ~ l1(X0,a)
| ~ n1(a,b,a) ),
inference(instantiation,[status(thm)],[c_487]) ).
tcf(c_1670,plain,
( n1(a,b,b)
| ~ l0(a)
| ~ l1(a,a)
| ~ n1(a,b,a) ),
inference(instantiation,[status(thm)],[c_1653]) ).
tcf(c_1675,plain,
( n1(a,b,a)
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_1035]) ).
tcf(c_1676,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1675,c_1670,c_1633,c_1585,c_1479,c_1476,c_1245,c_1182,c_1167,c_1129,c_1125,c_1078,c_1075,c_841,c_507,c_794,c_774,c_773,c_771,c_770,c_569,c_577,c_579,c_692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN140-1 : 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 : n015.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 00:20:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running EPR theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 1.59/1.11 % SZS status Started for theBenchmark.p
% 1.59/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.11
% 1.59/1.11 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.59/1.11
% 1.59/1.11 % ------ iProver source info
% 1.59/1.11
% 1.59/1.11 % git: date: 2026-07-19 20:42:38 +0200
% 1.59/1.11 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.59/1.11 % git: non_committed_changes: false
% 1.59/1.11
% 1.59/1.11 % ------ Parsing...% successful
% 1.59/1.11
% 1.59/1.11
% 1.59/1.11 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.59/1.11 %
% 1.59/1.11
% 1.59/1.11 % ------ Preprocessing... sf_s rm: 176 0s sf_e sf_s rm: 0 0s sf_e %
% 1.59/1.11
% 1.59/1.11 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.59/1.11 gs_s sp: 46 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.59/1.11 % ------ Proving...
% 1.59/1.11 % ------ Problem Properties
% 1.59/1.11
% 1.59/1.11 %
% 1.59/1.11 % clauses 194
% 1.59/1.11 % conjectures 1
% 1.59/1.11 % EPR 194
% 1.59/1.11 % Horn 171
% 1.59/1.11 % unary 50
% 1.59/1.11 % binary 70
% 1.59/1.11 % lits 439
% 1.59/1.11 % lits eq 0
% 1.59/1.11 % fd_pure 0
% 1.59/1.11 % fd_pseudo 0
% 1.59/1.11 % fd_cond 0
% 1.59/1.11 % fd_pseudo_cond 0
% 1.59/1.11 % AC symbols 0
% 1.59/1.11
% 1.59/1.11 % ------ Schedule EPR non Horn non eq is on
% 1.59/1.11
% 1.59/1.11 % ------ no equalities: superposition off
% 1.59/1.11
% 1.59/1.11 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.59/1.11
% 1.59/1.11
% 1.59/1.11 % ------
% 1.59/1.11 % Current options:
% 1.59/1.11 % ------
% 1.59/1.11
% 1.59/1.11
% 1.59/1.11 %
% 1.59/1.11
% 1.59/1.11 % ------ Proving...
% 1.59/1.11 %
% 1.59/1.11
% 1.59/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.11
% 1.59/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.59/1.11
% 1.59/1.11
%------------------------------------------------------------------------------