%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV865-1 : 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 : n018.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 03:24:22 PM UTC 2026
% Result : Unsatisfiable 0.98s 6.34s
% Output : CNFRefutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 48 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 19 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 29 ( 0 sgn 29 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ c_Natural_Oevalc(X2,X3,X1)
| ~ c_Natural_Oevalc(X2,X3,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com__det_0) ).
fof(f20,axiom,
! [X0] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_single__stateE_0) ).
fof(f28,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f29,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f31,negated_conjecture,
! [X0] :
( c_Natural_Oevalc(v_c,v_Z,v_Z_H(X0))
| X0 = v_s_H ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f32,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_Z,v_Z_H(X0))
| v_s_H = X0 ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
! [X0] :
( X0 = v_s_H
| X0 != v_Z_H(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f34,plain,
! [X0] :
( v_s_H = X0
| v_Z_H(X0) != X0 ),
inference(reorient_equations,[],[f33]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ c_Natural_Oevalc(X0,X1,X3)
| ~ c_Natural_Oevalc(X0,X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_97,plain,
! [X0: $i] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ( v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_104,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnf_transformation,[],[f28]) ).
tcf(c_105,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
inference(cnf_transformation,[],[f29]) ).
tcf(c_107,negated_conjecture,
! [X0: $i] :
( c_Natural_Oevalc(v_c,v_Z,v_Z_H(X0))
| ( X0 = v_s_H ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_108,negated_conjecture,
! [X0: $i] :
( ( X0 = v_s_H )
| ( v_Z_H(X0) != X0 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_133,plain,
! [X0: $i] : v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0,
inference(global_subsumption_just,[status(thm)],[c_97,c_104,c_97]) ).
tcf(c_464,negated_conjecture,
! [X0: $i] :
( ( X0 = v_s_H )
| ( v_Z_H(X0) != X0 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_465,negated_conjecture,
! [X0: $i] :
( c_Natural_Oevalc(v_c,v_Z,v_Z_H(X0))
| ( X0 = v_s_H ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_467,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_785,plain,
! [X0: $i,X1: $i] :
( ( X1 = v_s_H )
| ( v_Z_H(X1) = X0 )
| ~ c_Natural_Oevalc(v_c,v_Z,X0) ),
inference(superposition,[status(thm)],[c_465,c_93]) ).
tcf(c_805,plain,
! [X0: $i,X1: $i] :
( ( X1 = v_s_H )
| ( X0 = v_s_H )
| ( v_Z_H(X0) = v_Z_H(X1) ) ),
inference(superposition,[status(thm)],[c_465,c_785]) ).
tcf(c_825,plain,
! [X0: $i,X1: $i] :
( ( X1 = v_s_H )
| ( X0 = v_s_H )
| ( v_Z_H(X0) != X1 ) ),
inference(superposition,[status(thm)],[c_805,c_464]) ).
tcf(c_842,plain,
! [X0: $i] :
( ( X0 = v_s_H )
| ( v_Z_H(X0) = v_s_H ) ),
inference(equality_resolution,[status(thm)],[c_825]) ).
tcf(c_926,plain,
! [X0: $i] :
( c_Natural_Oevalc(v_c,v_Z,v_s_H)
| ( X0 = v_s_H ) ),
inference(superposition,[status(thm)],[c_842,c_465]) ).
tcf(c_928,plain,
! [X0: $i] : X0 = v_s_H,
inference(forward_subsumption_resolution,[status(thm)],[c_926,c_467]) ).
tcf(c_939,plain,
! [X0: $i] : X0 != v_s_H,
inference(demodulation,[status(thm)],[c_133,c_928]) ).
tcf(c_962,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_939,c_928]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV865-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n018.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.39 % CPULimit : 300
% 0.09/5.39 % WCLimit : 300
% 0.09/5.39 % DateTime : Thu Sep 24 21:13:26 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.44 Running first-order theorem proving
% 0.14/5.44 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
% 0.14/5.46
% 0.14/5.46 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.46
% 0.14/5.46 % Detected problem language: tptp
% 0.14/5.47 % Proving...
% 0.98/6.34 % SZS status Started for theBenchmark.p
% 0.98/6.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.98/6.34
% 0.98/6.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.98/6.34
% 0.98/6.34 % ------ iProver source info
% 0.98/6.34
% 0.98/6.34 % git: date: 2026-07-19 20:42:38 +0200
% 0.98/6.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.98/6.34 % git: non_committed_changes: false
% 0.98/6.34
% 0.98/6.34 % ------ Parsing...% successful
% 0.98/6.34
% 0.98/6.34
% 0.98/6.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.98/6.34
% 0.98/6.34 % ------ Preprocessing... sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.98/6.34
% 0.98/6.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.98/6.34
% 0.98/6.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.98/6.34 % ------ Proving...
% 0.98/6.34 % ------ Problem Properties
% 0.98/6.34
% 0.98/6.34 %
% 0.98/6.34 % clauses 27
% 0.98/6.34 % conjectures 4
% 0.98/6.34 % EPR 10
% 0.98/6.34 % Horn 26
% 0.98/6.34 % unary 11
% 0.98/6.34 % binary 13
% 0.98/6.34 % lits 46
% 0.98/6.34 % lits eq 17
% 0.98/6.34 % fd_pure 0
% 0.98/6.34 % fd_pseudo 0
% 0.98/6.34 % fd_cond 2
% 0.98/6.34 % fd_pseudo_cond 5
% 0.98/6.34 % AC symbols 0
% 0.98/6.34
% 0.98/6.34 % ------ Schedule dynamic 5 is on
% 0.98/6.34
% 0.98/6.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.98/6.34
% 0.98/6.34
% 0.98/6.34 % ------
% 0.98/6.34 % Current options:
% 0.98/6.34 % ------
% 0.98/6.34
% 0.98/6.34
% 0.98/6.34 %
% 0.98/6.34
% 0.98/6.34 % ------ Proving...
% 0.98/6.34 %
% 0.98/6.34
% 0.98/6.34 % SZS status Unsatisfiable for theBenchmark.p
% 0.98/6.34
% 0.98/6.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.98/6.34
% 0.98/6.34
%------------------------------------------------------------------------------