%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV864-1 : 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 : n004.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 0.86s 6.29s
% Output : CNFRefutation 0.86s
% 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/sandbox/benchmark/theBenchmark.p',cls_com__det_0) ).
fof(f22,axiom,
! [X0] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__stateE_0) ).
fof(f28,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f29,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f30,negated_conjecture,
! [X0] :
( c_Natural_Oevalc(v_c,v_x,v_xb(X0))
| X0 = v_xa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f31,plain,
! [X0] :
( c_Natural_Oevalc(v_c,v_x,v_xb(X0))
| v_xa = X0 ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
! [X0] :
( X0 = v_xa
| X0 != v_xb(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f33,plain,
! [X0] :
( v_xa = X0
| v_xb(X0) != X0 ),
inference(reorient_equations,[],[f32]) ).
tcf(c_92,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,[],[f22]) ).
tcf(c_103,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnf_transformation,[],[f28]) ).
tcf(c_104,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
inference(cnf_transformation,[],[f29]) ).
tcf(c_105,negated_conjecture,
! [X0: $i] :
( c_Natural_Oevalc(v_c,v_x,v_xb(X0))
| ( X0 = v_xa ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_106,negated_conjecture,
! [X0: $i] :
( ( X0 = v_xa )
| ( v_xb(X0) != X0 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_131,plain,
! [X0: $i] : v_sko__Hoare__Mirabelle__Xsingle__stateE__1(X0) != X0,
inference(global_subsumption_just,[status(thm)],[c_97,c_103,c_97]) ).
tcf(c_454,negated_conjecture,
! [X0: $i] :
( ( X0 = v_xa )
| ( v_xb(X0) != X0 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_455,negated_conjecture,
! [X0: $i] :
( c_Natural_Oevalc(v_c,v_x,v_xb(X0))
| ( X0 = v_xa ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_456,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_748,plain,
! [X0: $i,X1: $i] :
( ( X1 = v_xa )
| ( v_xb(X1) = X0 )
| ~ c_Natural_Oevalc(v_c,v_x,X0) ),
inference(superposition,[status(thm)],[c_455,c_92]) ).
tcf(c_759,plain,
! [X0: $i,X1: $i] :
( ( X1 = v_xa )
| ( X0 = v_xa )
| ( v_xb(X0) = v_xb(X1) ) ),
inference(superposition,[status(thm)],[c_455,c_748]) ).
tcf(c_779,plain,
! [X0: $i,X1: $i] :
( ( X1 = v_xa )
| ( X0 = v_xa )
| ( v_xb(X0) != X1 ) ),
inference(superposition,[status(thm)],[c_759,c_454]) ).
tcf(c_796,plain,
! [X0: $i] :
( ( X0 = v_xa )
| ( v_xb(X0) = v_xa ) ),
inference(equality_resolution,[status(thm)],[c_779]) ).
tcf(c_809,plain,
! [X0: $i] :
( c_Natural_Oevalc(v_c,v_x,v_xa)
| ( X0 = v_xa ) ),
inference(superposition,[status(thm)],[c_796,c_455]) ).
tcf(c_811,plain,
! [X0: $i] : X0 = v_xa,
inference(forward_subsumption_resolution,[status(thm)],[c_809,c_456]) ).
tcf(c_819,plain,
! [X0: $i] : X0 != v_xa,
inference(demodulation,[status(thm)],[c_131,c_811]) ).
tcf(c_826,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_819,c_811]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 21:11:26 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 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
% 0.13/5.43
% 0.13/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.43
% 0.13/5.43 % Detected problem language: tptp
% 0.13/5.44 % Proving...
% 0.86/6.29 % SZS status Started for theBenchmark.p
% 0.86/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.86/6.29
% 0.86/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.86/6.29
% 0.86/6.29 % ------ iProver source info
% 0.86/6.29
% 0.86/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.86/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.86/6.29 % git: non_committed_changes: false
% 0.86/6.29
% 0.86/6.29 % ------ Parsing...% successful
% 0.86/6.29
% 0.86/6.29
% 0.86/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.86/6.29
% 0.86/6.29 % ------ 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 %
% 0.86/6.29
% 0.86/6.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.86/6.29
% 0.86/6.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.86/6.29 % ------ Proving...
% 0.86/6.29 % ------ Problem Properties
% 0.86/6.29
% 0.86/6.29 %
% 0.86/6.29 % clauses 24
% 0.86/6.29 % conjectures 3
% 0.86/6.29 % EPR 9
% 0.86/6.29 % Horn 23
% 0.86/6.29 % unary 8
% 0.86/6.29 % binary 13
% 0.86/6.29 % lits 43
% 0.86/6.29 % lits eq 15
% 0.86/6.29 % fd_pure 0
% 0.86/6.29 % fd_pseudo 0
% 0.86/6.29 % fd_cond 2
% 0.86/6.29 % fd_pseudo_cond 5
% 0.86/6.29 % AC symbols 0
% 0.86/6.29
% 0.86/6.29 % ------ Schedule dynamic 5 is on
% 0.86/6.29
% 0.86/6.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.86/6.29
% 0.86/6.29
% 0.86/6.29 % ------
% 0.86/6.29 % Current options:
% 0.86/6.29 % ------
% 0.86/6.29
% 0.86/6.29
% 0.86/6.29 %
% 0.86/6.29
% 0.86/6.29 % ------ Proving...
% 0.86/6.29 %
% 0.86/6.29
% 0.86/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.86/6.29
% 0.86/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.86/6.29
% 0.86/6.29
%------------------------------------------------------------------------------