%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV892-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 03:24:25 PM UTC 2026
% Result : Unsatisfiable 8.33s 7.44s
% Output : CNFRefutation 8.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 29 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f715,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X1),c_Map_Odom(X0,X2,X3)))
| hAPP(X0,X1) = c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X1,X0,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_domD_0) ).
fof(f720,axiom,
! [X0,X1] : c_Option_Othe(c_Option_Ooption_OSome(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the_Osimps_0) ).
fof(f745,axiom,
! [X0,X1] :
( c_Com_OWT(X1)
| ~ c_Com_OWT__bodies
| hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__bodiesD_0) ).
fof(f750,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f752,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f753,negated_conjecture,
~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
tcf(c_1371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(X1,X2,X0,X3),X3) = hAPP(X2,X1) )
| ~ hBOOL(hAPP(hAPP(c_in(X0),X1),c_Map_Odom(X2,X0,X3))) ),
inference(cnf_transformation,[],[f715]) ).
tcf(c_1376,plain,
! [X0: $i,X1: $i] : c_Option_Othe(c_Option_Ooption_OSome(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f720]) ).
tcf(c_1399,plain,
! [X0: $i,X1: $i] :
( c_Com_OWT(X1)
| ~ c_Com_OWT__bodies
| ( hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ) ),
inference(cnf_transformation,[],[f745]) ).
tcf(c_1404,negated_conjecture,
c_Com_OWT__bodies,
inference(cnf_transformation,[],[f750]) ).
tcf(c_1406,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_pn),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))),
inference(cnf_transformation,[],[f752]) ).
tcf(c_1407,negated_conjecture,
~ c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom)),
inference(cnf_transformation,[],[f753]) ).
tcf(c_1543,plain,
! [X0: $i,X1: $i] :
( c_Com_OWT(X1)
| ( hAPP(c_Com_Obody,X0) != c_Option_Ooption_OSome(X1,tc_Com_Ocom) ) ),
inference(global_subsumption_just,[status(thm)],[c_1399,c_1404,c_1399]) ).
tcf(c_1633,plain,
c_Option_Ooption_OSome(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn),
inference(superposition,[status(thm)],[c_1406,c_1371]) ).
tcf(c_1882,plain,
c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom) = c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),
inference(superposition,[status(thm)],[c_1633,c_1376]) ).
tcf(c_1883,plain,
! [X0: $i] :
( c_Com_OWT(c_Map_Osko__Map__XdomD__1__1(v_pn,c_Com_Obody,tc_Com_Opname,tc_Com_Ocom))
| ( hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn) ) ),
inference(superposition,[status(thm)],[c_1633,c_1543]) ).
tcf(c_1884,plain,
c_Option_Ooption_OSome(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom),tc_Com_Ocom) = hAPP(c_Com_Obody,v_pn),
inference(demodulation,[status(thm)],[c_1633,c_1882]) ).
tcf(c_3253,plain,
! [X0: $i] :
( c_Com_OWT(c_Option_Othe(hAPP(c_Com_Obody,v_pn),tc_Com_Ocom))
| ( hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn) ) ),
inference(superposition,[status(thm)],[c_1884,c_1543]) ).
tcf(c_3260,plain,
! [X0: $i] : hAPP(c_Com_Obody,X0) != hAPP(c_Com_Obody,v_pn),
inference(global_subsumption_just,[status(thm)],[c_1883,c_1407,c_3253]) ).
tcf(c_3267,plain,
$false,
inference(equality_resolution,[status(thm)],[c_3260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV892-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/6.06 % Computer : n014.cluster.edu
% 0.18/6.06 % Model : x86_64 x86_64
% 0.18/6.06 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/6.06 % Memory : 8046.5625MB
% 0.18/6.06 % OS : Linux 6.8.0-71-generic
% 0.18/6.06 % CPULimit : 300
% 0.18/6.06 % WCLimit : 300
% 0.18/6.06 % DateTime : Thu Sep 24 21:15:09 UTC 2026
% 0.18/6.07 % CPUTime :
% 0.18/6.07 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/6.12 Running first-order theorem proving
% 0.18/6.12 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/6.14
% 0.18/6.14 % ======== iProver multi-core TPTP/SMT =========
% 0.18/6.14
% 0.18/6.14 % Detected problem language: tptp
% 0.22/6.16 % Proving...
% 8.33/7.44 % SZS status Started for theBenchmark.p
% 8.33/7.44 % SZS status Unsatisfiable for theBenchmark.p
% 8.33/7.44
% 8.33/7.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.33/7.44
% 8.33/7.44 % ------ iProver source info
% 8.33/7.44
% 8.33/7.44 % git: date: 2026-07-19 20:42:38 +0200
% 8.33/7.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.33/7.44 % git: non_committed_changes: false
% 8.33/7.44
% 8.33/7.44 % ------ Parsing...% successful
% 8.33/7.44
% 8.33/7.44
% 8.33/7.44 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.33/7.44 % ------ Proving...
% 8.33/7.44 % ------ Problem Properties
% 8.33/7.44
% 8.33/7.44 %
% 8.33/7.44 % clauses 689
% 8.33/7.44 % conjectures 5
% 8.33/7.44 % EPR 75
% 8.33/7.44 % Horn 602
% 8.33/7.44 % unary 195
% 8.33/7.44 % binary 255
% 8.33/7.44 % lits 1497
% 8.33/7.44 % lits eq 397
% 8.33/7.44 % fd_pure 0
% 8.33/7.44 % fd_pseudo 0
% 8.33/7.44 % fd_cond 0
% 8.33/7.44 % fd_pseudo_cond 80
% 8.33/7.44 % AC symbols 0
% 8.33/7.44
% 8.33/7.44 % ------ Input Options Time Limit: Unbounded
% 8.33/7.44
% 8.33/7.44
% 8.33/7.44 % ------
% 8.33/7.44 % Current options:
% 8.33/7.44 % ------
% 8.33/7.44
% 8.33/7.44
% 8.33/7.44 %
% 8.33/7.44
% 8.33/7.44 % ------ Proving...
% 8.33/7.44 %
% 8.33/7.44
% 8.33/7.44 % SZS status Unsatisfiable for theBenchmark.p
% 8.33/7.44
% 8.33/7.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.33/7.44
% 8.33/7.44
%------------------------------------------------------------------------------