%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN116-1 : 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 : n014.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 2.52s 1.23s
% Output : CNFRefutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 36 ( 9 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 35 ~; 33 |; 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 : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
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(f70,axiom,
! [X0] :
( ~ s0(X0)
| m1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_032) ).
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(f188,axiom,
! [X0,X1] :
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_150) ).
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(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ k5(b),
inference(cnf_transformation,[],[f369]) ).
tcf(c_422,plain,
! [X0: $i,X1: $i,X2: $i] :
( k5(X1)
| ~ s4(X2)
| ~ r3(X0,X1,X1) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s4(X3)
| ~ l1(X3,X1)
| ~ p3(X0,X1,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_507,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3(X0,X2,X0)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_571,plain,
! [X0: $i] :
( p3(X0,X0,X0)
| ~ n2(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i] :
( p2(X1,X1,X1)
| ~ m1(X0,X0,X1) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_637,plain,
! [X0: $i] :
( m1(X0,X0,X0)
| ~ s0(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_641,plain,
s0(b),
inference(cnf_transformation,[],[f5]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i] :
( l1(X1,X1)
| ~ n0(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_697,plain,
n0(d,b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_740,plain,
! [X0: $i,X1: $i,X2: $i] :
( n2(X2)
| ~ p1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_755,plain,
! [X0: $i] :
( p1(X0,X0,X0)
| ~ k0(X0) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_757,plain,
k0(b),
inference(cnf_transformation,[],[f32]) ).
tcf(c_773,plain,
( p1(b,b,b)
| ~ k0(b) ),
inference(instantiation,[status(thm)],[c_755]) ).
tcf(c_775,plain,
( n2(b)
| ~ p1(b,b,b) ),
inference(instantiation,[status(thm)],[c_740]) ).
tcf(c_780,plain,
( m1(b,b,b)
| ~ s0(b) ),
inference(instantiation,[status(thm)],[c_637]) ).
tcf(c_784,plain,
( p3(b,b,b)
| ~ n2(b) ),
inference(instantiation,[status(thm)],[c_571]) ).
tcf(c_811,plain,
( p2(b,b,b)
| ~ m1(b,b,b) ),
inference(instantiation,[status(thm)],[c_608]) ).
tcf(c_817,plain,
( r3(b,b,b)
| ~ p2(b,b,b) ),
inference(instantiation,[status(thm)],[c_507]) ).
tcf(c_832,plain,
( k5(b)
| ~ s4(b)
| ~ r3(b,b,b) ),
inference(instantiation,[status(thm)],[c_422]) ).
tcf(c_840,plain,
( s4(b)
| ~ l1(b,b)
| ~ p3(b,b,b) ),
inference(instantiation,[status(thm)],[c_501]) ).
tcf(c_1294,plain,
( l1(b,b)
| ~ n0(d,b) ),
inference(instantiation,[status(thm)],[c_690]) ).
tcf(c_1295,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1294,c_840,c_832,c_817,c_811,c_784,c_780,c_775,c_773,c_697,c_418,c_641,c_757]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN116-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n014.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 00:13:17 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running EPR theorem proving
% 0.14/0.41 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
% 0.14/0.42
% 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...
% 2.52/1.23 % SZS status Started for theBenchmark.p
% 2.52/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.52/1.23
% 2.52/1.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.52/1.23
% 2.52/1.23 % ------ iProver source info
% 2.52/1.23
% 2.52/1.23 % git: date: 2026-07-19 20:42:38 +0200
% 2.52/1.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.52/1.23 % git: non_committed_changes: false
% 2.52/1.23
% 2.52/1.23 % ------ Parsing...% successful
% 2.52/1.23
% 2.52/1.23
% 2.52/1.23 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 2.52/1.23 %
% 2.52/1.23
% 2.52/1.23 % ------ Preprocessing... sf_s rm: 55 0s sf_e sf_s rm: 0 0s sf_e %
% 2.52/1.23
% 2.52/1.23 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 2.52/1.23 gs_s sp: 93 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.52/1.23 % ------ Proving...
% 2.52/1.23 % ------ Problem Properties
% 2.52/1.23
% 2.52/1.23 %
% 2.52/1.23 % clauses 353
% 2.52/1.23 % conjectures 1
% 2.52/1.23 % EPR 353
% 2.52/1.23 % Horn 307
% 2.52/1.23 % unary 52
% 2.52/1.23 % binary 144
% 2.52/1.23 % lits 868
% 2.52/1.23 % lits eq 0
% 2.52/1.23 % fd_pure 0
% 2.52/1.23 % fd_pseudo 0
% 2.52/1.23 % fd_cond 0
% 2.52/1.23 % fd_pseudo_cond 0
% 2.52/1.23 % AC symbols 0
% 2.52/1.23
% 2.52/1.23 % ------ Schedule EPR non Horn non eq is on
% 2.52/1.23
% 2.52/1.23 % ------ no equalities: superposition off
% 2.52/1.23
% 2.52/1.23 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.52/1.23
% 2.52/1.23
% 2.52/1.23 % ------
% 2.52/1.23 % Current options:
% 2.52/1.23 % ------
% 2.52/1.23
% 2.52/1.23
% 2.52/1.23 %
% 2.52/1.23
% 2.52/1.23 % ------ Proving...
% 2.52/1.23 %
% 2.52/1.23
% 2.52/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 2.52/1.23
% 2.52/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.52/1.23
% 2.52/1.23
%------------------------------------------------------------------------------