%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW474+3 : TPTP v9.2.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:32:39 PM UTC 2026
% Result : Theorem 3.80s 3.32s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 15 unt; 0 def)
% Number of atoms : 53 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-2 aty)
% Number of variables : 29 ( 6 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_4_cut,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X6),X4))
=> ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X6))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
fof(fact_0_empty,axiom,
! [X3] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),bot_bo784226126e_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
fof(fact_66_MGF,axiom,
! [X15] :
( hBOOL(hoare_1795711768gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(hAPP_com_bool(wt,X15))
=> hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X15)),bot_bo784226126e_bool))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_MGF) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(conj_0,hypothesis,
hBOOL(hoare_1795711768gleton),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_297_WT__bodiesD,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = hAPP_com_option_com(some_com,X30)
=> hBOOL(hAPP_com_bool(wt,X30)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_WT__bodiesD) ).
fof(conj_7,conjecture,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
fof(conj_5,hypothesis,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
fof(c_0_8,plain,
! [X1942,X1943,X1944] :
( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1943),X1944))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1942),X1943))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1942),X1944)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])]) ).
fof(c_0_9,plain,
! [X1933] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1933),bot_bo784226126e_bool)),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
fof(c_0_10,plain,
! [X1575] :
( ~ hBOOL(hoare_1795711768gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X1575))
| hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1575)),bot_bo784226126e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_66_MGF])]) ).
cnf(c_0_11,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),bot_bo784226126e_bool)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool)))
| ~ hBOOL(hoare_1795711768gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_15,hypothesis,
hBOOL(hoare_1795711768gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
fof(c_0_16,plain,
! [X1576,X1577] :
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X1576) != hAPP_com_option_com(some_com,X1577)
| hBOOL(hAPP_com_bool(wt,X1577)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_297_WT__bodiesD])]) ).
fof(c_0_17,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).
cnf(c_0_18,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
| ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_19,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X1)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_20,plain,
( hBOOL(hAPP_com_bool(wt,X2))
| ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X1) != hAPP_com_option_com(some_com,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X2)),bot_bo784226126e_bool)))
| ~ hBOOL(hAPP_com_bool(wt,X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( hBOOL(hAPP_com_bool(wt,X1))
| hAPP_com_option_com(some_com,X1) != hAPP_p799580910on_com(body,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_14])]) ).
cnf(c_0_24,hypothesis,
hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
cnf(c_0_25,negated_conjecture,
~ hBOOL(hAPP_com_bool(wt,y)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,hypothesis,
hAPP_p799580910on_com(body,pn) != hAPP_p799580910on_com(body,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_27,hypothesis,
$false,
inference(er,[status(thm)],[c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW474+3 : TPTP v9.2.1. Released v5.3.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n027.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 06:56:50 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 3.80/3.32 % Version : CSE_E---1.7
% 3.80/3.32 % Problem : theBenchmark.p
% 3.80/3.32 % SZS status Theorem for theBenchmark.p
% 3.80/3.32 % SZS output start CNFRefutation
% See solution above
% 3.80/3.32 % Total time : 2.595s
%------------------------------------------------------------------------------