%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV824-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 03:24:18 PM UTC 2026
% Result : Unsatisfiable 9.01s 2.01s
% Output : CNFRefutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 28 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f749,axiom,
! [X2,X3,X0,X1] :
( ~ c_Natural_Oevaln(X0,X1,X2,X3)
| c_Natural_Oevaln(X0,X1,c_Suc(X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__Suc_0) ).
fof(f794,negated_conjecture,
v_fun1(v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f795,negated_conjecture,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f796,negated_conjecture,
~ v_fun2(v_x,v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f797,negated_conjecture,
! [X2,X0,X1] :
( ~ v_fun1(X0,X2)
| ~ c_Natural_Oevaln(v_com,X2,c_Suc(v_n),X1)
| v_fun2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
tcf(c_750,negated_conjecture,
v_fun1(v_x,v_xa),
inference(cnf_transformation,[],[f794]) ).
tcf(c_751,negated_conjecture,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
inference(cnf_transformation,[],[f795]) ).
tcf(c_752,negated_conjecture,
~ v_fun2(v_x,v_xb),
inference(cnf_transformation,[],[f796]) ).
tcf(c_753,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( v_fun2(X2,X1)
| ~ v_fun1(X2,X0)
| ~ c_Natural_Oevaln(v_com,X0,c_Suc(v_n),X1) ),
inference(cnf_transformation,[],[f797]) ).
tcf(c_756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_Natural_Oevaln(X0,X1,c_Suc(X2),X3)
| ~ c_Natural_Oevaln(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f749]) ).
tcf(c_3316,plain,
! [X0: $i,X1: $i,X2: $i] :
( v_fun2(X0,X2)
| ~ c_Natural_Oevaln(v_com,X1,c_Suc(v_n),X2)
| ( X1 != v_xa )
| ( X0 != v_x ) ),
inference(resolution_lifted,[status(thm)],[c_750,c_753]) ).
tcf(c_3317,plain,
! [X0: $i] :
( v_fun2(v_x,X0)
| ~ c_Natural_Oevaln(v_com,v_xa,c_Suc(v_n),X0) ),
inference(unflattening,[status(thm)],[c_3316]) ).
tcf(c_3327,plain,
! [X0: $i] :
( ~ c_Natural_Oevaln(v_com,v_xa,c_Suc(v_n),X0)
| ( v_x != v_x )
| ( X0 != v_xb ) ),
inference(resolution_lifted,[status(thm)],[c_752,c_3317]) ).
tcf(c_3328,plain,
~ c_Natural_Oevaln(v_com,v_xa,c_Suc(v_n),v_xb),
inference(unflattening,[status(thm)],[c_3327]) ).
tcf(c_10981,plain,
~ c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
inference(superposition,[status(thm)],[c_756,c_3328]) ).
tcf(c_10982,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_10981,c_751]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV824-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/0.44 % Computer : n001.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Thu Sep 24 21:12:53 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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
% 0.26/0.53
% 0.26/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.53
% 0.26/0.53 % Detected problem language: tptp
% 0.26/0.54 % Proving...
% 9.01/2.01 % SZS status Started for theBenchmark.p
% 9.01/2.01 % SZS status Unsatisfiable for theBenchmark.p
% 9.01/2.01
% 9.01/2.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.01/2.01
% 9.01/2.01 % ------ iProver source info
% 9.01/2.01
% 9.01/2.01 % git: date: 2026-07-19 20:42:38 +0200
% 9.01/2.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.01/2.01 % git: non_committed_changes: false
% 9.01/2.01
% 9.01/2.01 % ------ Parsing...% successful
% 9.01/2.01
% 9.01/2.01
% 9.01/2.01 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.01/2.01
% 9.01/2.01 % ------ Preprocessing... sup_sim: 11 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 9.01/2.01
% 9.01/2.01 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.01/2.01
% 9.01/2.01 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.01/2.01 % ------ Proving...
% 9.01/2.01 % ------ Problem Properties
% 9.01/2.01
% 9.01/2.01 %
% 9.01/2.01 % clauses 193
% 9.01/2.01 % conjectures 1
% 9.01/2.01 % EPR 15
% 9.01/2.01 % Horn 144
% 9.01/2.01 % unary 57
% 9.01/2.01 % binary 85
% 9.01/2.01 % lits 382
% 9.01/2.01 % lits eq 120
% 9.01/2.01 % fd_pure 0
% 9.01/2.01 % fd_pseudo 0
% 9.01/2.01 % fd_cond 13
% 9.01/2.01 % fd_pseudo_cond 21
% 9.01/2.01 % AC symbols 0
% 9.01/2.01
% 9.01/2.01 % ------ Schedule dynamic 5 is on
% 9.01/2.01
% 9.01/2.01 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.01/2.01
% 9.01/2.01
% 9.01/2.01 % ------
% 9.01/2.01 % Current options:
% 9.01/2.01 % ------
% 9.01/2.01
% 9.01/2.01
% 9.01/2.01 %
% 9.01/2.01
% 9.01/2.01 % ------ Proving...
% 9.01/2.01 %
% 9.01/2.01
% 9.01/2.01 % SZS status Unsatisfiable for theBenchmark.p
% 9.01/2.01
% 9.01/2.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.01/2.01
% 9.01/2.01
%------------------------------------------------------------------------------