%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN270-1 : 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 : n010.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 03:39:35 PM UTC 2026
% Result : Unsatisfiable 3.58s 1.23s
% Output : CNFRefutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 38 ~; 36 |; 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 : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
fof(f73,axiom,
! [X0,X1] :
( ~ l0(X1)
| ~ r0(X0)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_035) ).
fof(f95,axiom,
! [X0] :
( ~ r0(X0)
| n1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_057) ).
fof(f190,axiom,
! [X2,X0,X1] :
( ~ p2(X0,X1,X0)
| ~ p0(X0,X1)
| ~ n1(X2,X1,X2)
| p2(X0,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_152) ).
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(f305,axiom,
! [X2,X0,X1] :
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_267) ).
fof(f323,axiom,
! [X0,X1] :
( ~ r3(X1,X0,X1)
| ~ r0(X0)
| p4(X0,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_285) ).
fof(f369,negated_conjecture,
~ p4(b,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_418,negated_conjecture,
~ p4(b,b,c),
inference(cnf_transformation,[],[f369]) ).
tcf(c_429,plain,
p0(c,b),
inference(cnf_transformation,[],[f18]) ).
tcf(c_437,plain,
! [X0: $i,X1: $i] :
( p4(X1,X1,X0)
| ~ r0(X1)
| ~ r3(X0,X1,X0) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_449,plain,
! [X0: $i,X1: $i,X2: $i] :
( p2(X2,X1,X1)
| ~ p0(X2,X1)
| ~ p2(X2,X1,X2)
| ~ n1(X0,X1,X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_454,plain,
! [X0: $i] :
( n1(X0,X0,X0)
| ~ r0(X0) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_490,plain,
! [X0: $i,X1: $i] :
( p2(X1,X0,X1)
| ~ m1(X0,X1,X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i,X2: $i] :
( r3(X0,X2,X0)
| ~ p2(X0,X1,X2) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i] :
( m1(X0,X1,X0)
| ~ l0(X1)
| ~ r0(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_591,plain,
r0(b),
inference(cnf_transformation,[],[f9]) ).
tcf(c_644,plain,
l0(c),
inference(cnf_transformation,[],[f24]) ).
tcf(c_778,plain,
( n1(b,b,b)
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_454]) ).
tcf(c_1252,plain,
( p4(b,b,c)
| ~ r0(b)
| ~ r3(c,b,c) ),
inference(instantiation,[status(thm)],[c_437]) ).
tcf(c_1382,plain,
! [X0: $i] :
( m1(X0,c,X0)
| ~ l0(c)
| ~ r0(X0) ),
inference(instantiation,[status(thm)],[c_587]) ).
tcf(c_1383,plain,
( m1(b,c,b)
| ~ l0(c)
| ~ r0(b) ),
inference(instantiation,[status(thm)],[c_1382]) ).
tcf(c_1667,plain,
! [X0: $i] :
( r3(c,b,c)
| ~ p2(c,X0,b) ),
inference(instantiation,[status(thm)],[c_573]) ).
tcf(c_1668,plain,
( r3(c,b,c)
| ~ p2(c,b,b) ),
inference(instantiation,[status(thm)],[c_1667]) ).
tcf(c_2609,plain,
! [X0: $i] :
( p2(c,b,b)
| ~ p0(c,b)
| ~ p2(c,b,c)
| ~ n1(X0,b,X0) ),
inference(instantiation,[status(thm)],[c_449]) ).
tcf(c_2610,plain,
( p2(c,b,b)
| ~ p0(c,b)
| ~ p2(c,b,c)
| ~ n1(b,b,b) ),
inference(instantiation,[status(thm)],[c_2609]) ).
tcf(c_2612,plain,
( p2(c,b,c)
| ~ m1(b,c,b) ),
inference(instantiation,[status(thm)],[c_490]) ).
tcf(c_2613,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2612,c_2610,c_1668,c_1383,c_1252,c_778,c_418,c_429,c_591,c_644]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN270-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 00:41:44 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running EPR theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 3.58/1.23 % SZS status Started for theBenchmark.p
% 3.58/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 3.58/1.23
% 3.58/1.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.58/1.23
% 3.58/1.23 % ------ iProver source info
% 3.58/1.23
% 3.58/1.23 % git: date: 2026-07-19 20:42:38 +0200
% 3.58/1.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.58/1.23 % git: non_committed_changes: false
% 3.58/1.23
% 3.58/1.23 % ------ Parsing...% successful
% 3.58/1.23
% 3.58/1.23
% 3.58/1.23 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 3.58/1.23 %
% 3.58/1.23
% 3.58/1.23 % ------ Preprocessing... sf_s rm: 25 0s sf_e sf_s rm: 0 0s sf_e %
% 3.58/1.23
% 3.58/1.23 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 3.58/1.23 gs_s sp: 102 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.58/1.23 % ------ Proving...
% 3.58/1.23 % ------ Problem Properties
% 3.58/1.23
% 3.58/1.23 %
% 3.58/1.23 % clauses 380
% 3.58/1.23 % conjectures 1
% 3.58/1.23 % EPR 380
% 3.58/1.23 % Horn 330
% 3.58/1.23 % unary 51
% 3.58/1.23 % binary 154
% 3.58/1.23 % lits 948
% 3.58/1.23 % lits eq 0
% 3.58/1.23 % fd_pure 0
% 3.58/1.23 % fd_pseudo 0
% 3.58/1.23 % fd_cond 0
% 3.58/1.23 % fd_pseudo_cond 0
% 3.58/1.23 % AC symbols 0
% 3.58/1.23
% 3.58/1.23 % ------ Schedule EPR non Horn non eq is on
% 3.58/1.23
% 3.58/1.23 % ------ no equalities: superposition off
% 3.58/1.23
% 3.58/1.23 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.58/1.23
% 3.58/1.23
% 3.58/1.23 % ------
% 3.58/1.23 % Current options:
% 3.58/1.23 % ------
% 3.58/1.23
% 3.58/1.23
% 3.58/1.23 %
% 3.58/1.23
% 3.58/1.23 % ------ Proving...
% 3.58/1.23 %
% 3.58/1.23
% 3.58/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 3.58/1.23
% 3.58/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.58/1.23
% 3.58/1.23
%------------------------------------------------------------------------------