%------------------------------------------------------------------------------
% File : iProver-SAT---3.9.4
% Problem : SWV917-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% Computer : n016.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 03:26:33 PM UTC 2026
% Result : Satisfiable 2.68s 1.18s
% Output : Saturation 2.68s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = c_Option_Ooption_ONone(X1)
| X0 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Onchotomy_0) ).
fof(f2,plain,
! [X0,X1] :
( c_Option_Ooption_ONone(X1) = X0
| c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X1),X1) = X0 ),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = c_Option_Ooption_ONone(X1)
| X0 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__None__eq_0) ).
fof(f4,plain,
! [X0,X1] :
( c_Option_Ooption_ONone(X1) = X0
| c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X1),X1) = X0 ),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( X0 = X2
| c_Option_Ooption_OSome(X0,X1) != c_Option_Ooption_OSome(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Oinject_0) ).
fof(f6,axiom,
! [X0,X1] : ~ c_Option_Ois__none(c_Option_Ooption_OSome(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_is__none__code_I2_J_0) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X1),X1)
| X0 = c_Option_Ooption_ONone(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Some__eq_0) ).
fof(f8,plain,
! [X0,X1] :
( c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X1),X1) = X0
| c_Option_Ooption_ONone(X1) = X0 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0,X1] :
( X0 = c_Option_Ooption_ONone(X1)
| X0 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Oexhaust_0) ).
fof(f10,plain,
! [X0,X1] :
( c_Option_Ooption_ONone(X1) = X0
| c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X1),X1) = X0 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0] : c_Option_Ois__none(c_Option_Ooption_ONone(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_is__none__def_1) ).
fof(f17,axiom,
! [X0,X1] : c_Option_Ooption_ONone(X0) != c_Option_Ooption_OSome(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_option_Osimps_I2_J_0) ).
fof(f18,axiom,
! [X0,X1] :
( ~ c_Option_Ois__none(X0,X1)
| X0 = c_Option_Ooption_ONone(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_is__none__def_0) ).
fof(f19,plain,
! [X0,X1] :
( ~ c_Option_Ois__none(X0,X1)
| c_Option_Ooption_ONone(X1) = X0 ),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_OSome(v_a____,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f21,negated_conjecture,
hAPP(v_ha____,v_a____) != c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_ONone(X1) = X0 )
| ( c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X1),X1) = X0 ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_ONone(X1) = X0 )
| ( c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X1),X1) = X0 ) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( c_Option_Ooption_OSome(X0,X1) != c_Option_Ooption_OSome(X2,X1) ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : ~ c_Option_Ois__none(c_Option_Ooption_OSome(X0,X1),X1),
inference(cnf_transformation,[],[f6]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_ONone(X1) = X0 )
| ( c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X1),X1) = X0 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_ONone(X1) = X0 )
| ( c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X1),X1) = X0 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_69,plain,
! [X0: $i] : c_Option_Ois__none(c_Option_Ooption_ONone(X0),X0),
inference(cnf_transformation,[],[f11]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : c_Option_Ooption_OSome(X0,X1) != c_Option_Ooption_ONone(X1),
inference(cnf_transformation,[],[f17]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_ONone(X1) = X0 )
| ~ c_Option_Ois__none(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_75,plain,
c_Option_Ooption_OSome(v_a____,tc_nat) = c_Objects_Onew__Addr(v_ha____),
inference(cnf_transformation,[],[f20]) ).
tcf(c_76,negated_conjecture,
c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))) != hAPP(v_ha____,v_a____),
inference(cnf_transformation,[],[f21]) ).
tcf(c_107,plain,
~ c_Option_Ois__none(c_Objects_Onew__Addr(v_ha____),tc_nat),
inference(superposition,[status(thm)],[c_75,c_66]) ).
tcf(c_108,plain,
c_Option_Ooption_ONone(tc_nat) != c_Objects_Onew__Addr(v_ha____),
inference(superposition,[status(thm)],[c_75,c_73]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X1) = X2 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X2,X1) = X0 )
| ( c_Option_Ooption_OSome(X0,X1) != X2 ) ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X1) = X2 )
| ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X2,X1) = X0 )
| ( c_Option_Ooption_OSome(X0,X1) != X2 ) ),
inference(superposition,[status(thm)],[c_64,c_65]) ).
tcf(c_133,plain,
! [X0: $i] :
( ( X0 = v_a____ )
| ( c_Option_Ooption_OSome(X0,tc_nat) != c_Objects_Onew__Addr(v_ha____) ) ),
inference(superposition,[status(thm)],[c_75,c_65]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X1) = X2 )
| ( c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X2,X1) = X0 )
| ( c_Option_Ooption_OSome(X0,X1) != X2 ) ),
inference(superposition,[status(thm)],[c_67,c_65]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X1) = X2 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X2,X1) = X0 )
| ( c_Option_Ooption_OSome(X0,X1) != X2 ) ),
inference(superposition,[status(thm)],[c_68,c_65]) ).
tcf(c_174,plain,
! [X0: $i] :
( ( c_Option_Ooption_ONone(tc_nat) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,tc_nat) = v_a____ )
| ( c_Objects_Onew__Addr(v_ha____) != X0 ) ),
inference(superposition,[status(thm)],[c_63,c_133]) ).
tcf(c_175,plain,
! [X0: $i] :
( ( c_Option_Ooption_ONone(tc_nat) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,tc_nat) = v_a____ )
| ( c_Objects_Onew__Addr(v_ha____) != X0 ) ),
inference(superposition,[status(thm)],[c_64,c_133]) ).
tcf(c_176,plain,
! [X0: $i] :
( ( c_Option_Ooption_ONone(tc_nat) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,tc_nat) = v_a____ )
| ( c_Objects_Onew__Addr(v_ha____) != X0 ) ),
inference(superposition,[status(thm)],[c_67,c_133]) ).
tcf(c_177,plain,
! [X0: $i] :
( ( c_Option_Ooption_ONone(tc_nat) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,tc_nat) = v_a____ )
| ( c_Objects_Onew__Addr(v_ha____) != X0 ) ),
inference(superposition,[status(thm)],[c_68,c_133]) ).
tcf(c_201,plain,
( ( c_Option_Ooption_ONone(tc_nat) = c_Objects_Onew__Addr(v_ha____) )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ) ),
inference(equality_resolution,[status(thm)],[c_174]) ).
tcf(c_202,plain,
c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____,
inference(forward_subsumption_resolution,[status(thm)],[c_201,c_108]) ).
tcf(c_210,plain,
( ( c_Option_Ooption_ONone(tc_nat) = c_Objects_Onew__Addr(v_ha____) )
| ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ) ),
inference(equality_resolution,[status(thm)],[c_175]) ).
tcf(c_211,plain,
c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____,
inference(forward_subsumption_resolution,[status(thm)],[c_210,c_108]) ).
tcf(c_219,plain,
( ( c_Option_Ooption_ONone(tc_nat) = c_Objects_Onew__Addr(v_ha____) )
| ( c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ) ),
inference(equality_resolution,[status(thm)],[c_176]) ).
tcf(c_220,plain,
c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____,
inference(forward_subsumption_resolution,[status(thm)],[c_219,c_108]) ).
tcf(c_228,plain,
( ( c_Option_Ooption_ONone(tc_nat) = c_Objects_Onew__Addr(v_ha____) )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ) ),
inference(equality_resolution,[status(thm)],[c_177]) ).
tcf(c_229,plain,
c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____,
inference(forward_subsumption_resolution,[status(thm)],[c_228,c_108]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X2) = c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X1,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_63,c_131]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X1,X2) = c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_64,c_131]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X1,X2) = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_67,c_131]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X1,X2) = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_68,c_131]) ).
tcf(c_242,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_OSome(X0,X1) = c_Option_Ooption_ONone(X1) )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(c_Option_Ooption_OSome(X0,X1),X1) = X0 ) ),
inference(equality_resolution,[status(thm)],[c_131]) ).
tcf(c_243,plain,
! [X0: $i,X1: $i] : c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(c_Option_Ooption_OSome(X0,X1),X1) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_242,c_73]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_ONone(X1) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_64,c_243]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_ONone(X1) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_67,c_243]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_ONone(X1) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_68,c_243]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X2) = c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X1,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_63,c_132]) ).
tcf(c_292,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X2) = c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X1,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_64,c_132]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X1,X2) = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_67,c_132]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X1,X2) = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_68,c_132]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_OSome(X0,X1) = c_Option_Ooption_ONone(X1) )
| ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(c_Option_Ooption_OSome(X0,X1),X1) = X0 ) ),
inference(equality_resolution,[status(thm)],[c_132]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i] : c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(c_Option_Ooption_OSome(X0,X1),X1) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_296,c_73]) ).
tcf(c_339,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X2) = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X1,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_63,c_153]) ).
tcf(c_340,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X2) = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X1,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_64,c_153]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X2) = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X1,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_67,c_153]) ).
tcf(c_342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X1,X2) = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_68,c_153]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_OSome(X0,X1) = c_Option_Ooption_ONone(X1) )
| ( c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(c_Option_Ooption_OSome(X0,X1),X1) = X0 ) ),
inference(equality_resolution,[status(thm)],[c_153]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] : c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(c_Option_Ooption_OSome(X0,X1),X1) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_344,c_73]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X2) = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X1,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_63,c_165]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X2) = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X1,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_64,c_165]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X2) = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X1,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_67,c_165]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Option_Ooption_ONone(X2) = X1 )
| ( c_Option_Ooption_ONone(X2) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X2) = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X1,X2) )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_68,c_165]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_OSome(X0,X1) = c_Option_Ooption_ONone(X1) )
| ( c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(c_Option_Ooption_OSome(X0,X1),X1) = X0 ) ),
inference(equality_resolution,[status(thm)],[c_165]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i] : c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(c_Option_Ooption_OSome(X0,X1),X1) = X0,
inference(forward_subsumption_resolution,[status(thm)],[c_382,c_73]) ).
tcf(c_412,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_ONone(X1) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_67,c_297]) ).
tcf(c_413,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_ONone(X1) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_68,c_297]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i] :
( ( c_Option_Ooption_ONone(X1) = X0 )
| ( c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X1) ) ),
inference(superposition,[status(thm)],[c_68,c_345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV917-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 21:23:13 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.10/0.41 Running model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 2.68/1.18 % SZS status Started for theBenchmark.p
% 2.68/1.18 % SZS status Satisfiable for theBenchmark.p
% 2.68/1.18
% 2.68/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.68/1.18
% 2.68/1.18 ------ iProver source info
% 2.68/1.18
% 2.68/1.18 git: date: 2026-07-19 20:42:38 +0200
% 2.68/1.18 git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.68/1.18 git: non_committed_changes: false
% 2.68/1.18
% 2.68/1.18 ------ Parsing...successful
% 2.68/1.18
% 2.68/1.18
% 2.68/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.68/1.18 ------ Proving...
% 2.68/1.18 ------ Problem Properties
% 2.68/1.18
% 2.68/1.18
% 2.68/1.18 clauses 14
% 2.68/1.18 conjectures 1
% 2.68/1.18 EPR 0
% 2.68/1.18 Horn 10
% 2.68/1.18 unary 8
% 2.68/1.18 binary 6
% 2.68/1.18 lits 20
% 2.68/1.18 lits eq 17
% 2.68/1.18 fd_pure 0
% 2.68/1.18 fd_pseudo 0
% 2.68/1.18 fd_cond 0
% 2.68/1.18 fd_pseudo_cond 2
% 2.68/1.18 AC symbols 0
% 2.68/1.18
% 2.68/1.18 ------ Schedule dynamic 5 is on
% 2.68/1.18
% 2.68/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.68/1.18
% 2.68/1.18
% 2.68/1.18 ------
% 2.68/1.18 Current options:
% 2.68/1.18 ------
% 2.68/1.18
% 2.68/1.18 ------ Input Options
% 2.68/1.18
% 2.68/1.18 --out_options all
% 2.68/1.18 --tptp_safe_out true
% 2.68/1.18 --problem_path ""
% 2.68/1.18 --include_path ""
% 2.68/1.18 --clausifier res/vclausify_rel
% 2.68/1.18 --clausifier_options --mode clausify -t 101.67 -updr off
% 2.68/1.18 --stdin false
% 2.68/1.18 --proof_out true
% 2.68/1.18 --proof_dot_file ""
% 2.68/1.18 --proof_reduce_dot []
% 2.68/1.18 --suppress_sat_res false
% 2.68/1.18 --suppress_unsat_res true
% 2.68/1.18 --stats_out none
% 2.68/1.18 --stats_mem false
% 2.68/1.18 --theory_stats_out false
% 2.68/1.18
% 2.68/1.18 ------ General Options
% 2.68/1.18
% 2.68/1.18 --fof false
% 2.68/1.18 --time_out_real 305.
% 2.68/1.18 --time_out_virtual -1.
% 2.68/1.18 --rnd_seed 13
% 2.68/1.18 --symbol_type_check false
% 2.68/1.18 --clausify_out false
% 2.68/1.18 --sig_cnt_out false
% 2.68/1.18 --trig_cnt_out false
% 2.68/1.18 --trig_cnt_out_tolerance 1.
% 2.68/1.18 --trig_cnt_out_sk_spl false
% 2.68/1.18 --abstr_cl_out false
% 2.68/1.18
% 2.68/1.18 ------ Interactive Mode
% 2.68/1.18
% 2.68/1.18 --interactive_mode false
% 2.68/1.18 --external_ip_address ""
% 2.68/1.18 --external_port 0
% 2.68/1.18
% 2.68/1.18 ------ Global Options
% 2.68/1.18
% 2.68/1.18 --schedule default
% 2.68/1.18 --add_important_lit false
% 2.68/1.18 --prop_solver_per_cl 500
% 2.68/1.18 --subs_bck_mult 8
% 2.68/1.18 --min_unsat_core false
% 2.68/1.18 --soft_assumptions false
% 2.68/1.18 --soft_lemma_size 3
% 2.68/1.18 --prop_impl_unit_size 0
% 2.68/1.18 --prop_impl_unit []
% 2.68/1.18 --share_sel_clauses true
% 2.68/1.18 --reset_solvers false
% 2.68/1.18 --bc_imp_inh [conj_cone]
% 2.68/1.18 --conj_cone_tolerance 3.
% 2.68/1.18 --extra_neg_conj none
% 2.68/1.18 --large_theory_mode true
% 2.68/1.18 --prolific_symb_bound 200
% 2.68/1.18 --lt_threshold 2000
% 2.68/1.18 --clause_weak_htbl true
% 2.68/1.18 --gc_record_bc_elim false
% 2.68/1.18
% 2.68/1.18 ------ Preprocessing Options
% 2.68/1.18
% 2.68/1.18 --preprocessing_flag false
% 2.68/1.18 --time_out_prep_mult 0.1
% 2.68/1.18 --splitting_mode input
% 2.68/1.18 --splitting_grd true
% 2.68/1.18 --splitting_cvd false
% 2.68/1.18 --splitting_cvd_svl false
% 2.68/1.18 --splitting_nvd 32
% 2.68/1.18 --sub_typing false
% 2.68/1.18 --prep_eq_flat_conj false
% 2.68/1.18 --prep_ineq_split false
% 2.68/1.18 --prep_eq_flat_all_gr false
% 2.68/1.18 --prep_gs_sim true
% 2.68/1.18 --prep_unflatten true
% 2.68/1.18 --prep_res_sim true
% 2.68/1.18 --prep_sup_sim_all true
% 2.68/1.18 --prep_sup_sim_sup false
% 2.68/1.18 --prep_upred true
% 2.68/1.18 --prep_well_definedness true
% 2.68/1.18 --prep_sem_filter exhaustive
% 2.68/1.18 --prep_sem_filter_out false
% 2.68/1.18 --pred_elim true
% 2.68/1.18 --res_sim_input true
% 2.68/1.18 --eq_ax_congr_red true
% 2.68/1.18 --pure_diseq_elim true
% 2.68/1.18 --brand_transform false
% 2.68/1.18 --non_eq_to_eq false
% 2.68/1.18 --prep_eq_proxy false
% 2.68/1.18 --prep_def_merge true
% 2.68/1.18 --prep_def_merge_prop_impl false
% 2.68/1.18 --prep_def_merge_mbd true
% 2.68/1.18 --prep_def_merge_tr_red false
% 2.68/1.18 --prep_def_merge_tr_cl false
% 2.68/1.18 --smt_preprocessing false
% 2.68/1.18 --smt_ac_axioms fast
% 2.68/1.18 --preprocessed_out false
% 2.68/1.18 --preprocessed_stats false
% 2.68/1.18
% 2.68/1.18 ------ Abstraction refinement Options
% 2.68/1.18
% 2.68/1.18 --abstr_ref []
% 2.68/1.18 --abstr_ref_prep false
% 2.68/1.18 --abstr_ref_until_sat false
% 2.68/1.18 --abstr_ref_sig_restrict funpre
% 2.68/1.18 --abstr_ref_af_restrict_to_split_sk false
% 2.68/1.18 --abstr_ref_under []
% 2.68/1.18
% 2.68/1.18 ------ SAT Options
% 2.68/1.18
% 2.68/1.18 --sat_mode false
% 2.68/1.18 --sat_fm_restart_options ""
% 2.68/1.18 --sat_gr_def false
% 2.68/1.18 --sat_epr_types true
% 2.68/1.18 --sat_non_cyclic_types false
% 2.68/1.18 --sat_finite_models false
% 2.68/1.18 --sat_fm_lemmas false
% 2.68/1.18 --sat_fm_prep false
% 2.68/1.18 --sat_fm_uc_incr true
% 2.68/1.18 --sat_out_model pos
% 2.68/1.18 --sat_out_clauses false
% 2.68/1.18
% 2.68/1.18 ------ QBF Options
% 2.68/1.18
% 2.68/1.18 --qbf_mode false
% 2.68/1.18 --qbf_elim_univ false
% 2.68/1.18 --qbf_dom_inst none
% 2.68/1.18 --qbf_dom_pre_inst false
% 2.68/1.18 --qbf_sk_in false
% 2.68/1.18 --qbf_pred_elim true
% 2.68/1.18 --qbf_split 512
% 2.68/1.18
% 2.68/1.18 ------ BMC1 Options
% 2.68/1.18
% 2.68/1.18 --bmc1_incremental false
% 2.68/1.18 --bmc1_axioms reachable_all
% 2.68/1.18 --bmc1_min_bound 0
% 2.68/1.18 --bmc1_max_bound -1
% 2.68/1.18 --bmc1_max_bound_default -1
% 2.68/1.18 --bmc1_symbol_reachability true
% 2.68/1.18 --bmc1_property_lemmas false
% 2.68/1.18 --bmc1_k_induction false
% 2.68/1.18 --bmc1_non_equiv_states false
% 2.68/1.18 --bmc1_deadlock false
% 2.68/1.18 --bmc1_ucm false
% 2.68/1.18 --bmc1_add_unsat_core none
% 2.68/1.18 --bmc1_unsat_core_children false
% 2.68/1.18 --bmc1_unsat_core_extrapolate_axioms false
% 2.68/1.18 --bmc1_out_stat full
% 2.68/1.18 --bmc1_ground_init false
% 2.68/1.18 --bmc1_pre_inst_next_state false
% 2.68/1.18 --bmc1_pre_inst_state false
% 2.68/1.18 --bmc1_pre_inst_reach_state false
% 2.68/1.18 --bmc1_out_unsat_core false
% 2.68/1.18 --bmc1_aig_witness_out false
% 2.68/1.18 --bmc1_verbose false
% 2.68/1.18 --bmc1_dump_clauses_tptp false
% 2.68/1.18 --bmc1_dump_unsat_core_tptp false
% 2.68/1.18 --bmc1_dump_file -
% 2.68/1.18 --bmc1_ucm_expand_uc_limit 128
% 2.68/1.18 --bmc1_ucm_n_expand_iterations 6
% 2.68/1.18 --bmc1_ucm_extend_mode 1
% 2.68/1.18 --bmc1_ucm_init_mode 2
% 2.68/1.18 --bmc1_ucm_cone_mode none
% 2.68/1.18 --bmc1_ucm_reduced_relation_type 0
% 2.68/1.18 --bmc1_ucm_relax_model 4
% 2.68/1.18 --bmc1_ucm_full_tr_after_sat true
% 2.68/1.18 --bmc1_ucm_expand_neg_assumptions false
% 2.68/1.18 --bmc1_ucm_layered_model none
% 2.68/1.18 --bmc1_ucm_max_lemma_size 10
% 2.68/1.18
% 2.68/1.18 ------ AIG Options
% 2.68/1.18
% 2.68/1.18 --aig_mode false
% 2.68/1.18
% 2.68/1.18 ------ Instantiation Options
% 2.68/1.18
% 2.68/1.18 --instantiation_flag true
% 2.68/1.18 --inst_sos_flag false
% 2.68/1.18 --inst_sos_phase true
% 2.68/1.18 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 2.68/1.18 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 2.68/1.18 --inst_lit_sel_side none
% 2.68/1.18 --inst_solver_per_active 1400
% 2.68/1.18 --inst_solver_calls_frac 1.
% 2.68/1.18 --inst_to_smt_solver true
% 2.68/1.18 --inst_passive_queue_type priority_queues
% 2.68/1.18 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.68/1.18 --inst_passive_queues_freq [25;2]
% 2.68/1.18 --inst_dismatching true
% 2.68/1.18 --inst_eager_unprocessed_to_passive true
% 2.68/1.18 --inst_unprocessed_bound 1000
% 2.68/1.18 --inst_prop_sim_given true
% 2.68/1.18 --inst_prop_sim_new false
% 2.68/1.18 --inst_subs_new false
% 2.68/1.18 --inst_eq_res_simp false
% 2.68/1.18 --inst_subs_given false
% 2.68/1.18 --inst_orphan_elimination true
% 2.68/1.18 --inst_learning_loop_flag true
% 2.68/1.18 --inst_learning_start 3000
% 2.68/1.18 --inst_learning_factor 2
% 2.68/1.18 --inst_start_prop_sim_after_learn 3
% 2.68/1.18 --inst_sel_renew solver
% 2.68/1.18 --inst_lit_activity_flag true
% 2.68/1.18 --inst_restr_to_given false
% 2.68/1.18 --inst_activity_threshold 500
% 2.68/1.18
% 2.68/1.18 ------ Resolution Options
% 2.68/1.18
% 2.68/1.18 --resolution_flag false
% 2.68/1.18 --res_lit_sel adaptive
% 2.68/1.18 --res_lit_sel_side none
% 2.68/1.18 --res_ordering kbo
% 2.68/1.18 --res_to_prop_solver active
% 2.68/1.18 --res_prop_simpl_new false
% 2.68/1.18 --res_prop_simpl_given true
% 2.68/1.18 --res_to_smt_solver true
% 2.68/1.18 --res_passive_queue_type priority_queues
% 2.68/1.18 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.68/1.18 --res_passive_queues_freq [15;5]
% 2.68/1.18 --res_forward_subs full
% 2.68/1.18 --res_backward_subs full
% 2.68/1.18 --res_forward_subs_resolution true
% 2.68/1.18 --res_backward_subs_resolution true
% 2.68/1.18 --res_orphan_elimination true
% 2.68/1.18 --res_time_limit 300.
% 2.68/1.18
% 2.68/1.18 ------ Superposition Options
% 2.68/1.18
% 2.68/1.18 --superposition_flag true
% 2.68/1.18 --sup_passive_queue_type priority_queues
% 2.68/1.18 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 2.68/1.18 --sup_passive_queues_freq [8;1;4;4]
% 2.68/1.18 --twee_lhs_weight 4
% 2.68/1.18 --sup_set_join false
% 2.68/1.18 --sup_set_join_goals true
% 2.68/1.18 --sup_set_join_limit 1000
% 2.68/1.18 --demod_completeness_check fast
% 2.68/1.18 --demod_use_ground true
% 2.68/1.18 --sup_unprocessed_bound 0
% 2.68/1.18 --sup_to_prop_solver passive
% 2.68/1.18 --sup_prop_simpl_new true
% 2.68/1.18 --sup_prop_simpl_given true
% 2.68/1.18 --sup_fun_splitting false
% 2.68/1.18 --sup_iter_deepening 2
% 2.68/1.18 --sup_restarts_mult 12
% 2.68/1.18 --sup_score sim_d_gen
% 2.68/1.18 --sup_share_score_frac 0.2
% 2.68/1.18 --sup_share_max_num_cl 500
% 2.68/1.18 --sup_ordering kbo
% 2.68/1.18 --sup_symb_ordering invfreq
% 2.68/1.18 --sup_term_weight default
% 2.68/1.18
% 2.68/1.18 ------ Superposition Simplification Setup
% 2.68/1.18
% 2.68/1.18 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 2.68/1.18 --sup_full_triv [SMTSimplify;PropSubs]
% 2.68/1.18 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 2.68/1.18 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 2.68/1.18 --sup_immed_triv []
% 2.68/1.18 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 2.68/1.18 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 2.68/1.18 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 2.68/1.18 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 2.68/1.19 --sup_input_triv [Unflattening;SMTSimplify]
% 2.68/1.19 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 2.68/1.19 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 2.68/1.19 --sup_full_fixpoint true
% 2.68/1.19 --sup_main_fixpoint true
% 2.68/1.19 --sup_immed_fixpoint false
% 2.68/1.19 --sup_input_fixpoint true
% 2.68/1.19 --sup_cache_sim none
% 2.68/1.19 --sup_smt_interval 500
% 2.68/1.19 --sup_bw_gjoin_interval 0
% 2.68/1.19
% 2.68/1.19 ------ Combination Options
% 2.68/1.19
% 2.68/1.19 --comb_mode clause_based
% 2.68/1.19 --comb_inst_mult 5
% 2.68/1.19 --comb_res_mult 1
% 2.68/1.19 --comb_sup_mult 8
% 2.68/1.19 --comb_sup_deep_mult 2
% 2.68/1.19
% 2.68/1.19 ------ Debug Options
% 2.68/1.19
% 2.68/1.19 --dbg_backtrace false
% 2.68/1.19 --dbg_dump_prop_clauses false
% 2.68/1.19 --dbg_dump_prop_clauses_file -
% 2.68/1.19 --dbg_out_stat false
% 2.68/1.19 --dbg_just_parse false
% 2.68/1.19
% 2.68/1.19
% 2.68/1.19
% 2.68/1.19
% 2.68/1.19 ------ Proving...
% 2.68/1.19
% 2.68/1.19
% 2.68/1.19 % SZS status Satisfiable for theBenchmark.p
% 2.68/1.19
% 2.68/1.19 % SZS output start Saturation for theBenchmark.p
% See solution above
% 2.68/1.19
% 2.68/1.19
%------------------------------------------------------------------------------