%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 03:51:33 PM UTC 2026
% Result : Unsatisfiable 2.29s 11.50s
% Output : CNFRefutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 26 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X2,X0,X1] :
( le(X0,X2)
| ~ le(max(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X2,X0,X1] :
( le(X1,X2)
| ~ le(max(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f6,axiom,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a1)
| ~ eq(f(X0),a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
tcf(c_55,plain,
! [X0: $i] : le(X0,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X2)
| ~ le(max(X0,X1),X2) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,X2)
| ~ le(max(X0,X1),X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,plain,
! [X0: $i] :
( eq(f(X0),a1)
| eq(f(X0),a0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a0)
| ~ eq(f(X0),a0)
| ~ le(s(X0),X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a1)
| ~ eq(f(X0),a1)
| ~ le(s(X0),X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i] : le(X0,max(X0,X1)),
inference(superposition,[status(thm)],[c_55,c_56]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i] : le(X0,max(X1,X0)),
inference(superposition,[status(thm)],[c_55,c_57]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a0)
| ~ eq(f(max(X0,s(X1))),a0) ),
inference(superposition,[status(thm)],[c_228,c_59]) ).
tcf(c_478,plain,
! [X0: $i,X1: $i] :
( ~ eq(f(X0),a1)
| ~ eq(f(max(s(X0),X1)),a1) ),
inference(superposition,[status(thm)],[c_162,c_60]) ).
tcf(c_1877,plain,
! [X0: $i] :
( ~ eq(f(X0),a0)
| ~ eq(f(s(X0)),a0) ),
inference(superposition,[status(thm)],[c_55,c_59]) ).
tcf(c_2887,plain,
! [X0: $i,X1: $i] :
( eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a1) ),
inference(superposition,[status(thm)],[c_58,c_478]) ).
tcf(c_2904,plain,
! [X0: $i,X1: $i] :
( ~ eq(f(X1),a0)
| ~ eq(f(X0),a1) ),
inference(superposition,[status(thm)],[c_2887,c_403]) ).
tcf(c_2907,plain,
! [X0: $i] : ~ eq(f(X0),a1),
inference(backward_subsumption_resolution,[status(thm)],[c_2887,c_2904]) ).
tcf(c_2910,plain,
! [X0: $i] : eq(f(X0),a0),
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_2907]) ).
tcf(c_2911,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_1877,c_2910]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/10.59 % Computer : n008.cluster.edu
% 0.12/10.59 % Model : x86_64 x86_64
% 0.12/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.59 % Memory : 8046.5625MB
% 0.12/10.59 % OS : Linux 6.8.0-71-generic
% 0.12/10.59 % CPULimit : 300
% 0.12/10.59 % WCLimit : 300
% 0.12/10.59 % DateTime : Fri Sep 25 03:15:07 UTC 2026
% 0.12/10.59 % CPUTime :
% 0.12/10.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/10.63 Running first-order theorem proving
% 0.16/10.63 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.64
% 0.16/10.64 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.64
% 0.16/10.64 % Detected problem language: tptp
% 0.16/10.65 % Proving...
% 2.29/11.50 % SZS status Started for theBenchmark.p
% 2.29/11.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.29/11.50
% 2.29/11.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.29/11.50
% 2.29/11.50 % ------ iProver source info
% 2.29/11.50
% 2.29/11.50 % git: date: 2026-07-19 20:42:38 +0200
% 2.29/11.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.29/11.50 % git: non_committed_changes: false
% 2.29/11.50
% 2.29/11.50 % ------ Parsing...% successful
% 2.29/11.50
% 2.29/11.50
% 2.29/11.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.29/11.50
% 2.29/11.50 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.29/11.50
% 2.29/11.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.29/11.50 % ------ Proving...
% 2.29/11.50 % ------ Problem Properties
% 2.29/11.50
% 2.29/11.50 %
% 2.29/11.50 % clauses 6
% 2.29/11.50 % conjectures 0
% 2.29/11.50 % EPR 1
% 2.29/11.50 % Horn 5
% 2.29/11.50 % unary 1
% 2.29/11.50 % binary 3
% 2.29/11.50 % lits 13
% 2.29/11.50 % lits eq 0
% 2.29/11.50 % fd_pure 0
% 2.29/11.50 % fd_pseudo 0
% 2.29/11.50 % fd_cond 0
% 2.29/11.50 % fd_pseudo_cond 0
% 2.29/11.50 % AC symbols 0
% 2.29/11.50
% 2.29/11.50 % ------ Schedule dynamic 5 is on
% 2.29/11.50
% 2.29/11.50 % ------ no conjectures: strip conj schedule
% 2.29/11.50
% 2.29/11.50 % ------ no equalities: superposition off
% 2.29/11.50
% 2.29/11.50 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.29/11.50
% 2.29/11.50
% 2.29/11.50 % ------
% 2.29/11.50 % Current options:
% 2.29/11.50 % ------
% 2.29/11.50
% 2.29/11.50
% 2.29/11.50 %
% 2.29/11.50
% 2.29/11.50 % ------ Proving...
% 2.29/11.50 %
% 2.29/11.50
% 2.29/11.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.29/11.50
% 2.29/11.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.29/11.50
% 2.29/11.50
%------------------------------------------------------------------------------