%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV939-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 03:14:32 PM UTC 2026
% Result : Unsatisfiable 93.93s 13.85s
% Output : Proof 93.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 21 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 11 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 26 ( 26 usr; 16 con; 0-4 aty)
% Number of variables : 5 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f658,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_T_H_H____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f658_nnf,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_T_H_H____),
inference(nnf_transformation,[status(thm)],[f658]) ).
cnf(c658,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_T_H_H____),
inference(cnf_transformation,[status(esa)],[f658_nnf]) ).
cnf(f623,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_H_H____),v_T____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_H_HsubT_0) ).
fof(f623_nnf,plain,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_H_H____),v_T____)),
inference(nnf_transformation,[status(thm)],[f623]) ).
cnf(c623,plain,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_T_H_H____),v_T____)),
inference(cnf_transformation,[status(esa)],[f623_nnf]) ).
cnf(f643,axiom,
v_T_H____ = v_T____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_T_HisT_0) ).
fof(f643_nnf,plain,
v_T_H____ = v_T____,
inference(nnf_transformation,[status(thm)],[f643]) ).
cnf(c643,plain,
v_T_H____ = v_T____,
inference(cnf_transformation,[status(esa)],[f643_nnf]) ).
cnf(f661,negated_conjecture,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),V_x)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_x),v_T_H____)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f661_nnf,plain,
! [V_x] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),V_x)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_x),v_T_H____)) ),
inference(nnf_transformation,[status(thm)],[f661]) ).
fof(f661_sk,plain,
! [V_x] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),V_x)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_x),v_T_H____)) ),
inference(skolemisation,[status(esa)],[f661_nnf]) ).
cnf(c661,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),X0)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T_H____)) ),
inference(cnf_transformation,[status(esa)],[f661_sk]) ).
cnf(p480,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),X0)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T____)) ),
inference(superposition,[status(thm)],[c643,c661]) ).
cnf(p803,plain,
~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_SmallStep_Oblocks(c_Pair(c_List_Olist_OCons(c_Type_Othis,v_pns____,tc_List_Olist(tc_String_Ochar)),c_Pair(c_List_Olist_OCons(c_Type_Oty_OClass(v_D____),v_Ts____,tc_Type_Oty),c_Pair(c_List_Olist_OCons(c_Value_Oval_OAddr(v_a____),v_vs____,tc_Value_Oval),v_body____,tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_List_Olist(tc_Type_Oty),tc_prod(tc_List_Olist(tc_Value_Oval),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))))),v_T_H_H____),
inference(resolution,[status(thm)],[c623,p480]) ).
cnf(p2252,plain,
$false,
inference(resolution,[status(thm)],[c658,p803]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV939-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 21:21:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 93.93/13.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 93.93/13.85 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------