%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN144-1 : 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 : n020.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 1.92s 1.14s
% Output : CNFRefutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 29
% Syntax : Number of formulae : 96 ( 20 unt; 0 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 259 ( 132 ~; 127 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 27 ( 26 usr; 6 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 90 ( 0 sgn 90 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
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(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f59,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f128,axiom,
( ~ k0(e)
| ~ r0(e)
| p1(e,e,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_090) ).
fof(f138,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_100) ).
fof(f155,axiom,
( ~ s0(d)
| ~ k0(e)
| q1(d,d,d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_117) ).
fof(f162,axiom,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f174,axiom,
( ~ k1(b)
| m2(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f178,axiom,
! [X0,X1] :
( ~ p1(b,X0,X1)
| ~ r0(e)
| ~ r1(b)
| n2(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_140) ).
fof(f193,axiom,
! [X2,X0,X1] :
( ~ p2(e,X0,X1)
| ~ k1(X2)
| p2(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_155) ).
fof(f214,axiom,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).
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(f272,axiom,
! [X0] :
( ~ p2(X0,e,e)
| ~ n2(e)
| m3(X0,e,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_234) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f307,axiom,
! [X0] :
( ~ m3(a,X0,X0)
| ~ m2(b)
| ~ q2(X0,e,X0)
| ~ k2(a,a)
| r3(a,a,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_269) ).
fof(f326,axiom,
! [X2,X3,X0,X1] :
( ~ p4(X2,X2,X3)
| ~ r3(X1,X1,X0)
| p4(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_288) ).
fof(f329,axiom,
! [X0,X1] :
( ~ p3(X1,X1,X0)
| p4(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_291) ).
fof(f341,axiom,
! [X2,X0,X1] :
( ~ p4(X0,X2,X1)
| ~ r0(X0)
| m5(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_303) ).
fof(f369,negated_conjecture,
~ m5(e,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,plain,
s0(d),
inference(cnf_transformation,[],[f1]) ).
tcf(c_424,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_430,plain,
r0(e),
inference(cnf_transformation,[],[f13]) ).
tcf(c_434,plain,
! [X0: $i] : q0(X0,d),
inference(cnf_transformation,[],[f17]) ).
tcf(c_437,plain,
l0(a),
inference(cnf_transformation,[],[f20]) ).
tcf(c_445,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_454,plain,
n0(b,a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ k0(X1)
| ~ l0(X0) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_522,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_543,plain,
( p1(e,e,e)
| ~ k0(e)
| ~ r0(e) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_553,plain,
! [X0: $i,X1: $i] :
( q1(X1,X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_570,plain,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ s0(d)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i] :
( k2(X1,X1)
| ~ q1(X0,X1,X1) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_588,plain,
( m2(b)
| ~ k1(b) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i] :
( n2(e)
| ~ r1(b)
| ~ r0(e)
| ~ p1(b,X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_607,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X0,X1,X1)
| ~ k1(X2)
| ~ p2(e,X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i] :
( p2(X1,X0,X1)
| ~ m1(X0,X1,X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i] :
( q2(X0,X1,X1)
| ~ k0(X1)
| ~ p1(X0,X0,X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_684,plain,
! [X0: $i] :
( m3(X0,e,e)
| ~ n2(e)
| ~ p2(X0,e,e) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_694,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_719,plain,
! [X0: $i] :
( r3(a,a,e)
| ~ m2(b)
| ~ k2(a,a)
| ~ m3(a,X0,X0)
| ~ q2(X0,e,X0) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p4(X1,X0,X0)
| ~ p4(X2,X2,X3)
| ~ r3(X0,X0,X1) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i] :
( p4(X1,X1,X1)
| ~ p3(X0,X0,X1) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_751,plain,
! [X0: $i,X1: $i,X2: $i] :
( m5(X0,X2)
| ~ r0(X0)
| ~ p4(X0,X1,X2) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_772,negated_conjecture,
~ m5(e,a),
inference(cnf_transformation,[],[f369]) ).
tcf(c_773,plain,
q0(b,d),
inference(instantiation,[status(thm)],[c_434]) ).
tcf(c_787,plain,
( p3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_694]) ).
tcf(c_793,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_589]) ).
tcf(c_795,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_818,plain,
( p4(b,b,b)
| ~ p3(b,b,b) ),
inference(instantiation,[status(thm)],[c_739]) ).
tcf(c_896,plain,
( n2(e)
| ~ r1(b)
| ~ r0(e)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_592]) ).
tcf(c_1023,plain,
( n2(e)
| ~ r1(b) ),
inference(global_subsumption_just,[status(thm)],[c_592,c_449,c_430,c_795,c_896]) ).
tcf(c_1035,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q1(d,X0,d)
| ~ q0(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_577,c_418,c_577]) ).
tcf(c_1036,plain,
! [X0: $i,X1: $i] :
( r1(X1)
| ~ q0(X1,X0)
| ~ q1(d,X0,d) ),
inference(renaming,[status(thm)],[c_1035]) ).
tcf(c_1081,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_19
| ~ p4(X0,X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_736]) ).
tcf(c_1082,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_20
| ~ r3(X1,X1,X0)
| p4(X0,X1,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_736]) ).
tcf(c_1083,plain,
( iPr_def_20
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_736]) ).
tcf(c_1090,plain,
! [X0: $i] :
( ~ iPr_def_25
| ~ q2(X0,e,X0)
| ~ m3(a,X0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_719]) ).
tcf(c_1091,plain,
( iPr_def_25
| r3(a,a,e)
| ~ m2(b)
| ~ k2(a,a) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_719]) ).
tcf(c_1151,plain,
! [X0: $i] :
( ~ iPr_def_65
| ~ k1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_65])],[c_607]) ).
tcf(c_1152,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_66
| ~ p2(e,X0,X1)
| p2(X0,X1,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_66])],[c_607]) ).
tcf(c_1153,plain,
( iPr_def_66
| iPr_def_65 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_607]) ).
tcf(c_1218,plain,
( ~ iPr_def_65
| ~ k1(b) ),
inference(instantiation,[status(thm)],[c_1151]) ).
tcf(c_1230,plain,
( ~ iPr_def_19
| ~ p4(b,b,b) ),
inference(instantiation,[status(thm)],[c_1081]) ).
tcf(c_1291,plain,
! [X0: $i] :
( m5(e,a)
| ~ r0(e)
| ~ p4(e,X0,a) ),
inference(instantiation,[status(thm)],[c_751]) ).
tcf(c_1303,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1369,plain,
! [X0: $i] :
( r1(X0)
| ~ q0(X0,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1036]) ).
tcf(c_1370,plain,
( r1(b)
| ~ q0(b,d)
| ~ q1(d,d,d) ),
inference(instantiation,[status(thm)],[c_1369]) ).
tcf(c_1407,plain,
! [X0: $i] :
( m1(a,X0,a)
| ~ l0(a)
| ~ k0(X0) ),
inference(instantiation,[status(thm)],[c_476]) ).
tcf(c_1459,plain,
( q1(a,a,a)
| ~ n0(b,a) ),
inference(instantiation,[status(thm)],[c_553]) ).
tcf(c_1460,plain,
! [X0: $i] :
( k2(a,a)
| ~ q1(X0,a,a) ),
inference(instantiation,[status(thm)],[c_582]) ).
tcf(c_1534,plain,
! [X0: $i] :
( p2(e,X0,e)
| ~ m1(X0,e,X0) ),
inference(instantiation,[status(thm)],[c_628]) ).
tcf(c_1752,plain,
( m5(e,a)
| ~ r0(e)
| ~ p4(e,a,a) ),
inference(instantiation,[status(thm)],[c_1291]) ).
tcf(c_1753,plain,
( p4(e,a,a)
| ~ iPr_def_20
| ~ r3(a,a,e) ),
inference(instantiation,[status(thm)],[c_1082]) ).
tcf(c_1816,plain,
( k2(a,a)
| ~ q1(a,a,a) ),
inference(instantiation,[status(thm)],[c_1460]) ).
tcf(c_1851,plain,
( q2(e,e,e)
| ~ k0(e)
| ~ p1(e,e,e) ),
inference(instantiation,[status(thm)],[c_629]) ).
tcf(c_1881,plain,
( p2(e,a,e)
| ~ m1(a,e,a) ),
inference(instantiation,[status(thm)],[c_1534]) ).
tcf(c_1882,plain,
( m1(a,e,a)
| ~ k0(e)
| ~ l0(a) ),
inference(instantiation,[status(thm)],[c_1407]) ).
tcf(c_2054,plain,
! [X0: $i] :
( p2(X0,e,e)
| ~ iPr_def_66
| ~ p2(e,X0,e) ),
inference(instantiation,[status(thm)],[c_1152]) ).
tcf(c_2352,plain,
( m3(a,e,e)
| ~ n2(e)
| ~ p2(a,e,e) ),
inference(instantiation,[status(thm)],[c_684]) ).
tcf(c_2353,plain,
( ~ iPr_def_25
| ~ m3(a,e,e)
| ~ q2(e,e,e) ),
inference(instantiation,[status(thm)],[c_1090]) ).
tcf(c_2613,plain,
( p2(a,e,e)
| ~ iPr_def_66
| ~ p2(e,a,e) ),
inference(instantiation,[status(thm)],[c_2054]) ).
tcf(c_2614,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2613,c_2353,c_2352,c_1882,c_1881,c_1851,c_1816,c_1753,c_1752,c_1459,c_1370,c_1303,c_1091,c_1230,c_1218,c_1153,c_1083,c_1023,c_543,c_570,c_818,c_795,c_793,c_787,c_588,c_772,c_424,c_773,c_454,c_418,c_430,c_437,c_445,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN144-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 00:19:03 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running EPR theorem proving
% 0.14/0.40 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
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 1.92/1.14 % SZS status Started for theBenchmark.p
% 1.92/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 1.92/1.14
% 1.92/1.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.92/1.14
% 1.92/1.14 % ------ iProver source info
% 1.92/1.14
% 1.92/1.14 % git: date: 2026-07-19 20:42:38 +0200
% 1.92/1.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.92/1.14 % git: non_committed_changes: false
% 1.92/1.14
% 1.92/1.14 % ------ Parsing...% successful
% 1.92/1.14
% 1.92/1.14
% 1.92/1.14 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.92/1.14 %
% 1.92/1.14
% 1.92/1.14 % ------ Preprocessing... sf_s rm: 37 0s sf_e sf_s rm: 0 0s sf_e %
% 1.92/1.14
% 1.92/1.14 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.92/1.14 gs_s sp: 104 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.92/1.14 % ------ Proving...
% 1.92/1.14 % ------ Problem Properties
% 1.92/1.14
% 1.92/1.14 %
% 1.92/1.14 % clauses 389
% 1.92/1.14 % conjectures 1
% 1.92/1.14 % EPR 389
% 1.92/1.14 % Horn 338
% 1.92/1.14 % unary 51
% 1.92/1.14 % binary 157
% 1.92/1.14 % lits 973
% 1.92/1.14 % lits eq 0
% 1.92/1.14 % fd_pure 0
% 1.92/1.14 % fd_pseudo 0
% 1.92/1.14 % fd_cond 0
% 1.92/1.14 % fd_pseudo_cond 0
% 1.92/1.14 % AC symbols 0
% 1.92/1.14
% 1.92/1.14 % ------ Schedule EPR non Horn non eq is on
% 1.92/1.14
% 1.92/1.14 % ------ no equalities: superposition off
% 1.92/1.14
% 1.92/1.14 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.92/1.14
% 1.92/1.14
% 1.92/1.14 % ------
% 1.92/1.14 % Current options:
% 1.92/1.14 % ------
% 1.92/1.14
% 1.92/1.14
% 1.92/1.14 %
% 1.92/1.14
% 1.92/1.14 % ------ Proving...
% 1.92/1.14 %
% 1.92/1.14
% 1.92/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 1.92/1.14
% 1.92/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.92/1.14
% 1.92/1.14
%------------------------------------------------------------------------------