%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV866-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 03:14:20 PM UTC 2026
% Result : Unsatisfiable 6.51s 1.35s
% Output : Proof 6.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 22 unt; 0 def)
% Number of atoms : 46 ( 29 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 51 ( 39 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 30 ( 14 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f24,negated_conjecture,
V_Z_H = v_s_H,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f24_nnf,plain,
! [V_Z_H] : V_Z_H = v_s_H,
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [V_Z_H] : V_Z_H = v_s_H,
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
X0 = v_s_H,
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(t2,plain,
v_s_H = X1,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(t57,plain,
X1 = v_s_H,
inference(orient,[status(thm)],[t2]) ).
cnf(f10,axiom,
c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).
fof(f10_nnf,plain,
! [V_com1_H,V_com2_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [V_com1_H,V_com2_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
c_Com_Ocom_OSemi(X0,X1) != c_Com_Ocom_OSKIP,
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(f12,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).
fof(f12_nnf,plain,
! [V_com1_H,V_com2_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [V_com1_H,V_com2_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X0,X1),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(f15,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def__raw_0) ).
fof(f15_nnf,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(f17,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t) != V_t ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__stateE_0) ).
fof(f17_nnf,plain,
! [V_t] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t) != V_t ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [V_t] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(V_t) != V_t ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0 ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(f19,axiom,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_0) ).
fof(f19_nnf,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(f25,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_Z,V_x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f25_nnf,plain,
! [V_x] : ~ c_Natural_Oevalc(v_c,v_Z,V_x),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [V_x] : ~ c_Natural_Oevalc(v_c,v_Z,V_x),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
~ c_Natural_Oevalc(v_c,v_Z,X0),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c10,c12,c15,c17,c19,c25]) ).
cnf(g0_0,plain,
v_s_H != false,
inference(rw,[status(thm)],[goal_0,t57]) ).
cnf(g0_1,plain,
v_s_H != v_s_H,
inference(rw,[status(thm)],[g0_0,t57]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV866-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 21:14:42 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.51/1.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.51/1.35 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------