%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN207-1 : 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 : n008.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 2.95s 6.44s
% Output : CNFRefutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of formulae : 67 ( 23 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 174 ( 89 ~; 85 |; 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 : 18 ( 17 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_10) ).
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(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_29) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
fof(f35,axiom,
m0(d,e,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_35) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f70,axiom,
! [X0] :
( ~ s0(X0)
| m1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_032) ).
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(f172,axiom,
! [X2,X0,X1] :
( ~ p0(X1,X0)
| ~ m1(X2,X1,X1)
| ~ m0(X1,X0,X2)
| l2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_134) ).
fof(f221,axiom,
! [X0,X1] :
( ~ l2(X1,X0)
| ~ l0(c)
| ~ k1(X1)
| q2(X0,c,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_183) ).
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(f369,negated_conjecture,
~ s3(c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ s3(c,c),
inference(cnf_transformation,[],[f369]) ).
tcf(c_426,plain,
m0(d,e,c),
inference(cnf_transformation,[],[f35]) ).
tcf(c_432,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_489,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_490,plain,
p0(b,d),
inference(cnf_transformation,[],[f10]) ).
tcf(c_521,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_531,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ l0(c)
| ~ k1(X0)
| ~ l2(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i,X2: $i] :
( l2(X1,X1)
| ~ p0(X0,X1)
| ~ m1(X2,X0,X0)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_534,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_564,plain,
! [X0: $i] :
( s2(X0)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_572,plain,
! [X0: $i] :
( m1(X0,X0,X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_577,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_594,plain,
q0(d,b),
inference(cnf_transformation,[],[f29]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_623,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_633,plain,
n0(c,d),
inference(cnf_transformation,[],[f34]) ).
tcf(c_638,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i,X2: $i] :
( s1(X0)
| ~ s1(X2)
| ~ q0(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_707,plain,
! [X0: $i] :
( s1(X0)
| ~ p0(X0,X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_767,plain,
p0(b,b),
inference(instantiation,[status(thm)],[c_521]) ).
tcf(c_769,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_489]) ).
tcf(c_771,plain,
( s1(b)
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_707]) ).
tcf(c_787,plain,
( m1(b,b,b)
| ~ s0(b) ),
inference(instantiation,[status(thm)],[c_572]) ).
tcf(c_976,plain,
! [X0: $i] :
( s2(X0)
| ~ q2(b,X0,b) ),
inference(global_subsumption_just,[status(thm)],[c_564,c_767,c_771,c_564]) ).
tcf(c_1026,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ l2(X0,X1)
| ~ k1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_531,c_623,c_531]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i] :
( q2(X1,c,X0)
| ~ k1(X0)
| ~ l2(X0,X1) ),
inference(renaming,[status(thm)],[c_1026]) ).
tcf(c_1028,plain,
( q2(b,c,b)
| ~ k1(b)
| ~ l2(b,b) ),
inference(instantiation,[status(thm)],[c_1027]) ).
tcf(c_1068,plain,
! [X0: $i] :
( ~ iPr_def_18
| ~ p0(X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_534]) ).
tcf(c_1069,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_534]) ).
tcf(c_1070,plain,
( iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_534]) ).
tcf(c_1071,plain,
! [X0: $i] :
( ~ iPr_def_20
| ~ s1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_706]) ).
tcf(c_1072,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_21
| s1(X0)
| ~ q0(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_706]) ).
tcf(c_1073,plain,
( iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_706]) ).
tcf(c_1120,plain,
( ~ iPr_def_20
| ~ s1(b) ),
inference(instantiation,[status(thm)],[c_1071]) ).
tcf(c_1124,plain,
( ~ iPr_def_18
| ~ p0(b,b) ),
inference(instantiation,[status(thm)],[c_1068]) ).
tcf(c_1154,plain,
! [X0: $i] :
( s3(X0,c)
| ~ s2(X0)
| ~ m0(d,e,c)
| ~ q2(d,X0,d) ),
inference(instantiation,[status(thm)],[c_432]) ).
tcf(c_1178,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_608]) ).
tcf(c_1183,plain,
( k1(d)
| ~ n0(c,d) ),
inference(instantiation,[status(thm)],[c_608]) ).
tcf(c_1189,plain,
! [X0: $i] :
( s1(d)
| ~ iPr_def_21
| ~ q0(d,X0) ),
inference(instantiation,[status(thm)],[c_1072]) ).
tcf(c_1190,plain,
( s1(d)
| ~ iPr_def_21
| ~ q0(d,b) ),
inference(instantiation,[status(thm)],[c_1189]) ).
tcf(c_1285,plain,
! [X0: $i,X1: $i] :
( l2(X1,X1)
| ~ iPr_def_19
| ~ s1(d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1069]) ).
tcf(c_1286,plain,
( l2(b,b)
| ~ iPr_def_19
| ~ s1(d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1285]) ).
tcf(c_1336,plain,
! [X0: $i,X1: $i] :
( l2(d,d)
| ~ p0(X1,d)
| ~ m0(X1,d,X0)
| ~ m1(X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_533]) ).
tcf(c_1337,plain,
( l2(d,d)
| ~ p0(b,d)
| ~ m1(b,b,b)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1336]) ).
tcf(c_1389,plain,
( q2(d,c,d)
| ~ k1(d)
| ~ l2(d,d) ),
inference(instantiation,[status(thm)],[c_1027]) ).
tcf(c_1390,plain,
( s3(c,c)
| ~ s2(c)
| ~ q2(d,c,d)
| ~ m0(d,e,c) ),
inference(instantiation,[status(thm)],[c_1154]) ).
tcf(c_1471,plain,
( s2(c)
| ~ q2(b,c,b) ),
inference(instantiation,[status(thm)],[c_976]) ).
tcf(c_1472,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1471,c_1390,c_1389,c_1337,c_1286,c_1190,c_1183,c_1178,c_1124,c_1120,c_1073,c_1070,c_1028,c_787,c_771,c_426,c_769,c_418,c_490,c_767,c_594,c_633,c_638,c_577]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN207-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.58 % Computer : n008.cluster.edu
% 0.11/5.58 % Model : x86_64 x86_64
% 0.11/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.58 % Memory : 8046.5625MB
% 0.11/5.58 % OS : Linux 6.8.0-71-generic
% 0.11/5.58 % CPULimit : 300
% 0.11/5.58 % WCLimit : 300
% 0.11/5.58 % DateTime : Fri Sep 25 00:31:02 UTC 2026
% 0.11/5.58 % CPUTime :
% 0.11/5.58 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.62 Running EPR theorem proving
% 0.14/5.62 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
% 0.14/5.63
% 0.14/5.63 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.63
% 0.14/5.63 % Detected problem language: tptp
% 0.14/5.64 % Proving...
% 2.95/6.44 % SZS status Started for theBenchmark.p
% 2.95/6.44 % SZS status Unsatisfiable for theBenchmark.p
% 2.95/6.44
% 2.95/6.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.95/6.44
% 2.95/6.44 % ------ iProver source info
% 2.95/6.44
% 2.95/6.44 % git: date: 2026-07-19 20:42:38 +0200
% 2.95/6.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.95/6.44 % git: non_committed_changes: false
% 2.95/6.44
% 2.95/6.44 % ------ Parsing...% successful
% 2.95/6.44
% 2.95/6.44
% 2.95/6.44 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.95/6.44 %
% 2.95/6.44
% 2.95/6.44 % ------ Preprocessing... sf_s rm: 173 0s sf_e sf_s rm: 0 0s sf_e %
% 2.95/6.44
% 2.95/6.44 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.95/6.44 gs_s sp: 46 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.95/6.44 % ------ Proving...
% 2.95/6.44 % ------ Problem Properties
% 2.95/6.44
% 2.95/6.44 %
% 2.95/6.44 % clauses 194
% 2.95/6.44 % conjectures 1
% 2.95/6.44 % EPR 194
% 2.95/6.44 % Horn 171
% 2.95/6.44 % unary 50
% 2.95/6.44 % binary 70
% 2.95/6.44 % lits 440
% 2.95/6.44 % lits eq 0
% 2.95/6.44 % fd_pure 0
% 2.95/6.44 % fd_pseudo 0
% 2.95/6.44 % fd_cond 0
% 2.95/6.44 % fd_pseudo_cond 0
% 2.95/6.44 % AC symbols 0
% 2.95/6.44
% 2.95/6.44 % ------ Schedule EPR non Horn non eq is on
% 2.95/6.44
% 2.95/6.44 % ------ no equalities: superposition off
% 2.95/6.44
% 2.95/6.44 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.95/6.44
% 2.95/6.44
% 2.95/6.44 % ------
% 2.95/6.44 % Current options:
% 2.95/6.44 % ------
% 2.95/6.44
% 2.95/6.44
% 2.95/6.44 %
% 2.95/6.44
% 2.95/6.44 % ------ Proving...
% 2.95/6.44 %
% 2.95/6.44
% 2.95/6.44 % SZS status Unsatisfiable for theBenchmark.p
% 2.95/6.44
% 2.95/6.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.95/6.45
% 2.95/6.45
%------------------------------------------------------------------------------