%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW470+3 : TPTP v9.2.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 05:32:27 PM UTC 2026
% Result : Theorem 18.91s 15.11s
% Output : CNFRefutation 19.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 41 ( 6 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 32 ( 12 ~; 12 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 37 ( 37 usr; 17 con; 0-6 aty)
% Number of variables : 44 ( 8 sgn 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_123_conseq,axiom,
! [X15,X3,X14,X13] :
( ! [X17,X18] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X13,X17),X18))
=> ? [X38,X39] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X38,X14,X39)),bot_bo797238721a_bool)))
& ! [X21] :
( ! [X22] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X38,X22),X18))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X39,X22),X21)) )
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X15,X17),X21)) ) ) )
=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X13,X14,X15)),bot_bo797238721a_bool))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_123_conseq) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U,axiom,
! [X291,X292] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X291),X292) = X291,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
! [X291,X292] :
( is_bool(X291)
=> hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X291),X292) = X291 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(conj_0,conjecture,
hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(gsy_c_fFalse,hypothesis,
is_bool(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fFalse) ).
fof(c_0_6,plain,
! [X653,X654,X655,X656,X659,X660,X662] :
( ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X656,esk25_4(X653,X654,X655,X656)),esk26_4(X653,X654,X655,X656)))
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X654),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X656,X655,X653)),bot_bo797238721a_bool))) )
& ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X659,X662),esk26_4(X653,X654,X655,X656)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X660,X662),esk27_6(X653,X654,X655,X656,X659,X660)))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X654),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X659,X655,X660)),bot_bo797238721a_bool)))
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X654),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X656,X655,X653)),bot_bo797238721a_bool))) )
& ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X653,esk25_4(X653,X654,X655,X656)),esk27_6(X653,X654,X655,X656,X659,X660)))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X654),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X659,X655,X660)),bot_bo797238721a_bool)))
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X654),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X656,X655,X653)),bot_bo797238721a_bool))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_123_conseq])])])])]) ).
fof(c_0_7,plain,
! [X679,X680] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X679),X680) = X679,
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U]) ).
cnf(c_0_8,plain,
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,esk25_4(X2,X3,X4,X1)),esk26_4(X2,X3,X4,X1)))
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X3),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X2)),bot_bo797238721a_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X677,X678] :
( ~ is_bool(X677)
| hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X677),X678) = X677 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U])]) ).
cnf(c_0_11,plain,
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X2),X3,X4)),bot_bo797238721a_bool)))
| hBOOL(hAPP_state_bool(X2,esk26_4(X4,X1,X3,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X2)))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X1),X2) = X1
| ~ is_bool(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
~ hBOOL(fFalse),
inference(fof_simplification,[status(thm)],[help_fFalse_1_1_U]) ).
fof(c_0_14,negated_conjecture,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_15,plain,
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,X2)),X3,X4)),bot_bo797238721a_bool)))
| hBOOL(X2)
| ~ is_bool(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,hypothesis,
is_bool(fFalse),
inference(split_conjunct,[status(thm)],[gsy_c_fFalse]) ).
cnf(c_0_17,plain,
~ hBOOL(fFalse),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,hypothesis,
hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),X2,X3)),bot_bo797238721a_bool))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.23 % Problem : SWW470+3 : TPTP v9.2.1. Released v5.3.0.
% 0.02/0.23 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.11/0.48 % Computer : n001.cluster.edu
% 0.11/0.48 % Model : x86_64 x86_64
% 0.11/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.48 % Memory : 8042.1875MB
% 0.11/0.48 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.48 % CPULimit : 300
% 0.11/0.48 % WCLimit : 300
% 0.11/0.48 % DateTime : Tue May 5 06:53:03 EDT 2026
% 0.11/0.48 % CPUTime :
% 0.11/0.49 % start to proof: theBenchmark
% 18.91/15.11 % Version : CSE_E---1.7
% 18.91/15.11 % Problem : theBenchmark.p
% 18.91/15.11 % SZS status Theorem for theBenchmark.p
% 18.91/15.11 % SZS output start CNFRefutation
% See solution above
% 19.02/15.18 % Total time : 11.749s
%------------------------------------------------------------------------------