%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN117-1 : 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 : n004.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 03:39:13 PM UTC 2026
% Result : Unsatisfiable 1.22s 1.14s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 97 ( 50 ~; 47 |; 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 : 16 ( 15 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f45,axiom,
! [X2,X0,X1] :
( ~ r0(X0)
| ~ p0(X2,X1)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_007) ).
fof(f106,axiom,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_068) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f214,axiom,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).
fof(f282,axiom,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_244) ).
fof(f305,axiom,
! [X2,X0,X1] :
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).
fof(f337,axiom,
! [X2,X3,X0,X1] :
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_299) ).
fof(f338,axiom,
! [X2,X0,X1] :
( ~ r3(X2,X0,X0)
| ~ s4(X1)
| k5(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_300) ).
fof(f369,negated_conjecture,
~ k5(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_424,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_426,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_431,plain,
! [X0: $i] : p0(b,X0),
inference(cnf_transformation,[],[f14]) ).
tcf(c_449,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1(X2,X1,X2)
| ~ r0(X2)
| ~ p0(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_522,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_589,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i] :
( p2(X1,X0,X1)
| ~ m1(X0,X1,X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_694,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_717,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3(X0,X2,X0)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s4(X3)
| ~ l1(X3,X1)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_748,plain,
! [X0: $i,X1: $i,X2: $i] :
( k5(X1)
| ~ s4(X2)
| ~ r3(X0,X1,X1) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_768,negated_conjecture,
~ k5(e),
inference(cnf_transformation,[],[f369]) ).
tcf(c_782,plain,
( p3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_694]) ).
tcf(c_788,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_589]) ).
tcf(c_790,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_522]) ).
tcf(c_841,plain,
( s4(b)
| ~ l1(b,b)
| ~ p3(b,b,b) ),
inference(instantiation,[status(thm)],[c_747]) ).
tcf(c_1067,plain,
! [X0: $i] :
( ~ iPr_def_15
| ~ s4(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_748]) ).
tcf(c_1068,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_16
| k5(X1)
| ~ r3(X0,X1,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_748]) ).
tcf(c_1069,plain,
( iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_748]) ).
tcf(c_1189,plain,
( ~ iPr_def_15
| ~ s4(b) ),
inference(instantiation,[status(thm)],[c_1067]) ).
tcf(c_1277,plain,
( l1(b,b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_457]) ).
tcf(c_1485,plain,
! [X0: $i] :
( p2(e,X0,e)
| ~ m1(X0,e,X0) ),
inference(instantiation,[status(thm)],[c_628]) ).
tcf(c_1487,plain,
( p2(e,b,e)
| ~ m1(b,e,b) ),
inference(instantiation,[status(thm)],[c_1485]) ).
tcf(c_1709,plain,
! [X0: $i,X1: $i] :
( m1(X1,e,X1)
| ~ r0(X1)
| ~ p0(X0,e) ),
inference(instantiation,[status(thm)],[c_462]) ).
tcf(c_1710,plain,
( m1(b,e,b)
| ~ r0(b)
| ~ p0(b,e) ),
inference(instantiation,[status(thm)],[c_1709]) ).
tcf(c_1753,plain,
p0(b,e),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_1879,plain,
! [X0: $i] :
( k5(e)
| ~ iPr_def_16
| ~ r3(X0,e,e) ),
inference(instantiation,[status(thm)],[c_1068]) ).
tcf(c_2106,plain,
( k5(e)
| ~ iPr_def_16
| ~ r3(e,e,e) ),
inference(instantiation,[status(thm)],[c_1879]) ).
tcf(c_2420,plain,
! [X0: $i] :
( r3(e,e,e)
| ~ p2(e,X0,e) ),
inference(instantiation,[status(thm)],[c_717]) ).
tcf(c_2421,plain,
( r3(e,e,e)
| ~ p2(e,b,e) ),
inference(instantiation,[status(thm)],[c_2420]) ).
tcf(c_2422,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2421,c_2106,c_1753,c_1710,c_1487,c_1277,c_1189,c_1069,c_841,c_790,c_788,c_782,c_424,c_768,c_426,c_449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN117-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 00:13:21 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running EPR theorem proving
% 0.11/0.41 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.22/1.14 % SZS status Started for theBenchmark.p
% 1.22/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.14
% 1.22/1.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.22/1.14
% 1.22/1.14 % ------ iProver source info
% 1.22/1.14
% 1.22/1.14 % git: date: 2026-07-19 20:42:38 +0200
% 1.22/1.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.22/1.14 % git: non_committed_changes: false
% 1.22/1.14
% 1.22/1.14 % ------ Parsing...% successful
% 1.22/1.14
% 1.22/1.14
% 1.22/1.14 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.22/1.14 %
% 1.22/1.14
% 1.22/1.14 % ------ Preprocessing... sf_s rm: 61 0s sf_e sf_s rm: 0 0s sf_e %
% 1.22/1.14
% 1.22/1.14 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.22/1.14 gs_s sp: 93 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.22/1.14 % ------ Proving...
% 1.22/1.14 % ------ Problem Properties
% 1.22/1.14
% 1.22/1.14 %
% 1.22/1.14 % clauses 352
% 1.22/1.14 % conjectures 1
% 1.22/1.14 % EPR 352
% 1.22/1.14 % Horn 306
% 1.22/1.14 % unary 51
% 1.22/1.14 % binary 144
% 1.22/1.14 % lits 867
% 1.22/1.14 % lits eq 0
% 1.22/1.14 % fd_pure 0
% 1.22/1.14 % fd_pseudo 0
% 1.22/1.14 % fd_cond 0
% 1.22/1.14 % fd_pseudo_cond 0
% 1.22/1.14 % AC symbols 0
% 1.22/1.14
% 1.22/1.14 % ------ Schedule EPR non Horn non eq is on
% 1.22/1.14
% 1.22/1.14 % ------ no equalities: superposition off
% 1.22/1.14
% 1.22/1.14 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.22/1.14
% 1.22/1.14
% 1.22/1.14 % ------
% 1.22/1.14 % Current options:
% 1.22/1.14 % ------
% 1.22/1.14
% 1.22/1.14
% 1.22/1.14 %
% 1.22/1.14
% 1.22/1.14 % ------ Proving...
% 1.22/1.14 %
% 1.22/1.14
% 1.22/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 1.22/1.14
% 1.22/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.22/1.14
% 1.22/1.14
%------------------------------------------------------------------------------