%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV849-1 : 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 : n005.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 03:24:20 PM UTC 2026
% Result : Unsatisfiable 3.10s 1.18s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f594ERROR: Could not build tree for root c_12586ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f533,negated_conjecture,
hBOOL(hAPP(v_ba,v_s0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f534,negated_conjecture,
c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f536,negated_conjecture,
v_ba = v_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f537,negated_conjecture,
v_ca = v_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f538,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f539,negated_conjecture,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G))
| c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f540,negated_conjecture,
( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
| hBOOL(hAPP(v_b,v_s2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f549,negated_conjecture,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X3)),v_G))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
| ~ hBOOL(hAPP(v_b,X2))
| ~ c_Natural_Oevaln(v_c,X2,X3,X1)
| hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_16) ).
fof(f550,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X3,v_n(X3),t_a)
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
| ~ hBOOL(hAPP(v_b,X2))
| ~ c_Natural_Oevaln(v_c,X2,X3,X1)
| hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_17) ).
fof(f582,plain,
hBOOL(hAPP(v_b,v_s0)),
inference(definition_unfolding,[],[f533,f536]) ).
fof(f583,plain,
c_Natural_Oevaln(v_c,v_s0,v_na,v_s1),
inference(definition_unfolding,[],[f534,f537]) ).
tcf(c_556,negated_conjecture,
hBOOL(hAPP(v_b,v_s0)),
inference(cnf_transformation,[],[f582]) ).
tcf(c_557,negated_conjecture,
c_Natural_Oevaln(v_c,v_s0,v_na,v_s1),
inference(cnf_transformation,[],[f583]) ).
tcf(c_559,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)),
inference(cnf_transformation,[],[f538]) ).
tcf(c_560,negated_conjecture,
! [X0: $i] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)) ),
inference(cnf_transformation,[],[f539]) ).
tcf(c_561,negated_conjecture,
( hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
inference(cnf_transformation,[],[f540]) ).
tcf(c_566,negated_conjecture,
! [X0: $i] :
( hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(cnf_transformation,[],[f593]) ).
tcf(c_567,negated_conjecture,
! [X0: $i] :
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(cnf_transformation,[],[f594]) ).
tcf(c_568,negated_conjecture,
! [X0: $i] :
( hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(cnf_transformation,[],[f595]) ).
tcf(c_569,negated_conjecture,
! [X0: $i] :
( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(cnf_transformation,[],[f596]) ).
tcf(c_570,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP(hAPP(v_P,X0),X3))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X2)),v_G))
| ~ hBOOL(hAPP(v_b,X1))
| ~ c_Natural_Oevaln(v_c,X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
inference(cnf_transformation,[],[f549]) ).
tcf(c_571,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP(hAPP(v_P,X0),X3))
| ~ hBOOL(hAPP(v_b,X1))
| ~ c_Hoare__Mirabelle_Otriple__valid(X2,v_n(X2),t_a)
| ~ c_Natural_Oevaln(v_c,X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
inference(cnf_transformation,[],[f550]) ).
tcf(c_8301,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_569]) ).
tcf(c_8302,negated_conjecture,
( iPr_def_10
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_569]) ).
tcf(c_8303,negated_conjecture,
( iPr_def_10
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_567]) ).
tcf(c_12302,plain,
( iPr_def_10
| c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(superposition,[status(thm)],[c_8303,c_560]) ).
tcf(c_12342,plain,
! [X0: $i] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(superposition,[status(thm)],[c_566,c_560]) ).
tcf(c_12368,plain,
! [X0: $i,X1: $i] :
( hBOOL(hAPP(hAPP(v_P,v_xb),X1))
| ~ hBOOL(hAPP(v_b,v_s0))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
| ~ c_Natural_Oevaln(v_c,v_s0,X0,X1) ),
inference(superposition,[status(thm)],[c_559,c_571]) ).
tcf(c_12370,plain,
! [X0: $i,X1: $i] :
( hBOOL(hAPP(hAPP(v_P,v_xb),X1))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
| ~ c_Natural_Oevaln(v_c,v_s0,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12368,c_556]) ).
tcf(c_12391,plain,
! [X0: $i,X1: $i] :
( hBOOL(hAPP(hAPP(v_P,v_xb),X1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_G))
| ~ hBOOL(hAPP(v_b,v_s0))
| ~ c_Natural_Oevaln(v_c,v_s0,X0,X1) ),
inference(superposition,[status(thm)],[c_559,c_570]) ).
tcf(c_12393,plain,
! [X0: $i,X1: $i] :
( hBOOL(hAPP(hAPP(v_P,v_xb),X1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_G))
| ~ c_Natural_Oevaln(v_c,v_s0,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12391,c_556]) ).
tcf(c_12433,plain,
( iPr_def_10
| ~ hBOOL(hAPP(v_b,v_s2)) ),
inference(global_subsumption_just,[status(thm)],[c_12302,c_8302,c_12302]) ).
tcf(c_12445,plain,
! [X0: $i] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| hBOOL(hAPP(hAPP(v_P,X0),v_s2)) ),
inference(global_subsumption_just,[status(thm)],[c_12342,c_568,c_12342]) ).
tcf(c_12446,plain,
! [X0: $i] :
( hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
inference(renaming,[status(thm)],[c_12445]) ).
tcf(c_12478,plain,
( hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a) ),
inference(superposition,[status(thm)],[c_557,c_12370]) ).
tcf(c_12485,plain,
( hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a) ),
inference(superposition,[status(thm)],[c_12478,c_12446]) ).
tcf(c_12486,plain,
( ~ iPr_def_10
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a) ),
inference(superposition,[status(thm)],[c_12478,c_8301]) ).
tcf(c_12505,plain,
~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a),
inference(global_subsumption_just,[status(thm)],[c_12486,c_561,c_12433,c_12486,c_12485]) ).
tcf(c_12533,plain,
( hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G)) ),
inference(superposition,[status(thm)],[c_557,c_12393]) ).
tcf(c_12540,plain,
( c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)
| hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)) ),
inference(superposition,[status(thm)],[c_12533,c_560]) ).
tcf(c_12541,plain,
hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)),
inference(forward_subsumption_resolution,[status(thm)],[c_12540,c_12505]) ).
tcf(c_12572,plain,
hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)),
inference(superposition,[status(thm)],[c_12541,c_12446]) ).
tcf(c_12573,plain,
~ iPr_def_10,
inference(superposition,[status(thm)],[c_12541,c_8301]) ).
tcf(c_12584,plain,
hBOOL(hAPP(v_b,v_s2)),
inference(backward_subsumption_resolution,[status(thm)],[c_561,c_12572]) ).
tcf(c_12585,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_12433,c_12584]) ).
tcf(c_12586,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12585,c_12573]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV849-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 21:09:33 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 3.10/1.18 % SZS status Started for theBenchmark.p
% 3.10/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.18
% 3.10/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.10/1.18
% 3.10/1.18 % ------ iProver source info
% 3.10/1.18
% 3.10/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.10/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.10/1.18 % git: non_committed_changes: false
% 3.10/1.18
% 3.10/1.18 % ------ Parsing...% successful
% 3.10/1.18
% 3.10/1.18
% 3.10/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.10/1.18
% 3.10/1.18 % ------ Preprocessing... sup_sim: 14 sf_s rm: 16 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.10/1.18
% 3.10/1.18 % ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.10/1.18
% 3.10/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.10/1.18 % ------ Proving...
% 3.10/1.18 % ------ Problem Properties
% 3.10/1.18
% 3.10/1.18 %
% 3.10/1.18 % clauses 274
% 3.10/1.18 % conjectures 19
% 3.10/1.18 % EPR 18
% 3.10/1.18 % Horn 242
% 3.10/1.18 % unary 108
% 3.10/1.18 % binary 105
% 3.10/1.18 % lits 512
% 3.10/1.18 % lits eq 202
% 3.10/1.18 % fd_pure 0
% 3.10/1.18 % fd_pseudo 0
% 3.10/1.18 % fd_cond 0
% 3.10/1.18 % fd_pseudo_cond 37
% 3.10/1.18 % AC symbols 0
% 3.10/1.18
% 3.10/1.18 % ------ Schedule dynamic 5 is on
% 3.10/1.18
% 3.10/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.10/1.18
% 3.10/1.18
% 3.10/1.18 % ------
% 3.10/1.18 % Current options:
% 3.10/1.18 % ------
% 3.10/1.18
% 3.10/1.18
% 3.10/1.18 %
% 3.10/1.18
% 3.10/1.18 % ------ Proving...
% 3.10/1.18 %
% 3.10/1.18
% 3.10/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.18
% 3.10/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.10/1.18
%------------------------------------------------------------------------------