%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN181-1 : 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 : n026.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 03:39:22 PM UTC 2026
% Result : Unsatisfiable 2.03s 1.31s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 67 ( 18 unt; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 182 ( 93 ~; 89 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 86 ( 0 sgn 86 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_10) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
fof(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_31) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).
fof(f101,axiom,
! [X0,X1] :
( ~ k0(X1)
| ~ n0(d,X0)
| p1(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_063) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f120,axiom,
! [X2,X3,X0,X1] :
( ~ p1(X2,X0,X3)
| ~ m0(X2,X0,X3)
| p1(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_082) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ m1(X0,X1,X1)
| ~ r0(X2)
| q1(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_113) ).
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(f224,axiom,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).
fof(f239,axiom,
! [X2,X3,X0,X1] :
( ~ m2(X2)
| ~ m2(X3)
| ~ p1(X1,X2,X0)
| k3(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_201) ).
fof(f274,axiom,
! [X0] :
( ~ n2(X0)
| m3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_236) ).
fof(f333,axiom,
! [X2,X3,X0,X1,X4] :
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_295) ).
fof(f369,negated_conjecture,
~ q4(d,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ q4(d,b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_424,plain,
! [X0: $i,X1: $i] : m0(X0,d,X1),
inference(cnf_transformation,[],[f19]) ).
tcf(c_431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( q4(X2,X1)
| ~ m3(X0,X4,X0)
| ~ k3(X3,X3,X2)
| ~ q2(X0,X1,X2) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_437,plain,
m0(b,b,e),
inference(cnf_transformation,[],[f31]) ).
tcf(c_445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( p1(X1,X3,X0)
| ~ p1(X0,X1,X2)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_491,plain,
! [X0: $i,X1: $i,X2: $i] :
( q1(X0,X0,X1)
| ~ r0(X2)
| ~ m1(X0,X1,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i] :
( q2(X1,X1,X0)
| ~ l1(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l1(X1,X0)
| ~ r0(X3)
| ~ p0(X2,X1)
| ~ m0(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_575,plain,
! [X0: $i] :
( m3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_591,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_615,plain,
p0(b,d),
inference(cnf_transformation,[],[f10]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i] :
( p1(X0,X0,X1)
| ~ k0(X1)
| ~ n0(d,X0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i] :
( k1(X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_694,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_726,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_728,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_729,plain,
k0(e),
inference(cnf_transformation,[],[f28]) ).
tcf(c_736,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( k3(X2,X2,X0)
| ~ m2(X3)
| ~ m2(X1)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_752,plain,
( m2(b)
| ~ k1(b) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_767,plain,
m0(b,d,b),
inference(instantiation,[status(thm)],[c_424]) ).
tcf(c_774,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_736]) ).
tcf(c_776,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_726]) ).
tcf(c_782,plain,
( m3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_575]) ).
tcf(c_1060,plain,
! [X0: $i] :
( ~ iPr_def_15
| ~ m2(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_751]) ).
tcf(c_1061,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_16
| ~ m2(X2)
| ~ p1(X1,X2,X0)
| k3(X0,X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_751]) ).
tcf(c_1062,plain,
( iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_751]) ).
tcf(c_1133,plain,
! [X0: $i] :
( ~ iPr_def_63
| ~ r0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_63])],[c_491]) ).
tcf(c_1174,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_88
| ~ p0(X2,X1)
| l1(X1,X0)
| ~ m0(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_88])],[c_540]) ).
tcf(c_1175,plain,
( iPr_def_88
| iPr_def_63 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_540]) ).
tcf(c_1177,plain,
( ~ iPr_def_15
| ~ m2(b) ),
inference(instantiation,[status(thm)],[c_1060]) ).
tcf(c_1183,plain,
( ~ iPr_def_63
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_1133]) ).
tcf(c_1256,plain,
! [X0: $i,X1: $i,X2: $i] :
( q4(d,b)
| ~ q2(X0,b,d)
| ~ k3(X2,X2,d)
| ~ m3(X0,X1,X0) ),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_1257,plain,
( q4(d,b)
| ~ m3(b,b,b)
| ~ k3(b,b,d)
| ~ q2(b,b,d) ),
inference(instantiation,[status(thm)],[c_1256]) ).
tcf(c_1266,plain,
( k1(b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_687]) ).
tcf(c_1315,plain,
! [X0: $i] :
( p1(X0,X0,e)
| ~ k0(e)
| ~ n0(d,X0) ),
inference(instantiation,[status(thm)],[c_685]) ).
tcf(c_1316,plain,
( p1(b,b,e)
| ~ k0(e)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_1315]) ).
tcf(c_1536,plain,
! [X0: $i,X1: $i] :
( l1(d,X0)
| ~ iPr_def_88
| ~ p0(X1,d)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_1174]) ).
tcf(c_1537,plain,
( l1(d,b)
| ~ iPr_def_88
| ~ p0(b,d)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1536]) ).
tcf(c_1569,plain,
! [X0: $i,X1: $i,X2: $i] :
( p1(d,X2,X0)
| ~ p1(X0,d,X1)
| ~ m0(X0,d,X1) ),
inference(instantiation,[status(thm)],[c_445]) ).
tcf(c_1570,plain,
( p1(d,b,b)
| ~ p1(b,d,b)
| ~ m0(b,d,b) ),
inference(instantiation,[status(thm)],[c_1569]) ).
tcf(c_1575,plain,
! [X0: $i] :
( p1(b,X0,b)
| ~ p1(b,b,e)
| ~ m0(b,b,e) ),
inference(instantiation,[status(thm)],[c_445]) ).
tcf(c_1707,plain,
( q2(b,b,d)
| ~ l1(d,b) ),
inference(instantiation,[status(thm)],[c_527]) ).
tcf(c_1831,plain,
( p1(b,d,b)
| ~ p1(b,b,e)
| ~ m0(b,b,e) ),
inference(instantiation,[status(thm)],[c_1575]) ).
tcf(c_2156,plain,
! [X0: $i,X1: $i] :
( k3(X1,X1,d)
| ~ iPr_def_16
| ~ m2(X0)
| ~ p1(d,X0,X1) ),
inference(instantiation,[status(thm)],[c_1061]) ).
tcf(c_2157,plain,
( k3(b,b,d)
| ~ iPr_def_16
| ~ m2(b)
| ~ p1(d,b,b) ),
inference(instantiation,[status(thm)],[c_2156]) ).
tcf(c_2158,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2157,c_1831,c_1707,c_1570,c_1537,c_1316,c_1266,c_1257,c_1183,c_1177,c_1175,c_1062,c_782,c_776,c_774,c_752,c_767,c_437,c_418,c_615,c_694,c_591,c_728,c_729]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN181-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.58 % Computer : n026.cluster.edu
% 0.12/0.58 % Model : x86_64 x86_64
% 0.12/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.58 % Memory : 8046.5625MB
% 0.12/0.58 % OS : Linux 6.8.0-71-generic
% 0.12/0.58 % CPULimit : 300
% 0.12/0.58 % WCLimit : 300
% 0.12/0.58 % DateTime : Fri Sep 25 00:27:41 UTC 2026
% 0.12/0.58 % CPUTime :
% 0.12/0.58 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.62 Running EPR theorem proving
% 0.12/0.62 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
% 0.15/0.63
% 0.15/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.63
% 0.15/0.63 % Detected problem language: tptp
% 0.15/0.64 % Proving...
% 2.03/1.31 % SZS status Started for theBenchmark.p
% 2.03/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.31
% 2.03/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.03/1.31
% 2.03/1.31 % ------ iProver source info
% 2.03/1.31
% 2.03/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 2.03/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.03/1.31 % git: non_committed_changes: false
% 2.03/1.31
% 2.03/1.31 % ------ Parsing...% successful
% 2.03/1.31
% 2.03/1.31
% 2.03/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.03/1.31 %
% 2.03/1.31
% 2.03/1.31 % ------ Preprocessing... sf_s rm: 66 0s sf_e sf_s rm: 0 0s sf_e %
% 2.03/1.31
% 2.03/1.31 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.03/1.31 gs_s sp: 90 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.03/1.31 % ------ Proving...
% 2.03/1.31 % ------ Problem Properties
% 2.03/1.31
% 2.03/1.31 %
% 2.03/1.31 % clauses 339
% 2.03/1.31 % conjectures 1
% 2.03/1.31 % EPR 339
% 2.03/1.31 % Horn 295
% 2.03/1.31 % unary 52
% 2.03/1.31 % binary 139
% 2.03/1.31 % lits 827
% 2.03/1.31 % lits eq 0
% 2.03/1.31 % fd_pure 0
% 2.03/1.31 % fd_pseudo 0
% 2.03/1.31 % fd_cond 0
% 2.03/1.31 % fd_pseudo_cond 0
% 2.03/1.31 % AC symbols 0
% 2.03/1.31
% 2.03/1.31 % ------ Schedule EPR non Horn non eq is on
% 2.03/1.31
% 2.03/1.31 % ------ no equalities: superposition off
% 2.03/1.31
% 2.03/1.31 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.03/1.31
% 2.03/1.31
% 2.03/1.31 % ------
% 2.03/1.31 % Current options:
% 2.03/1.31 % ------
% 2.03/1.31
% 2.03/1.31
% 2.03/1.31 %
% 2.03/1.31
% 2.03/1.31 % ------ Proving...
% 2.03/1.31 %
% 2.03/1.31
% 2.03/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 2.03/1.31
% 2.03/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.03/1.32
% 2.03/1.32
%------------------------------------------------------------------------------