%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ITP018+2 : TPTP v9.2.1. Bugfixed v7.5.0.
% 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 : n008.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 04:31:39 PM UTC 2026
% Result : Theorem 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 76 ( 11 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 81 ( 35 ~; 28 |; 2 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X11,X12),ap(c_2Ebinary__ieee_2Efloat__negate(X11,X12),ap(c_2Ebinary__ieee_2Efloat__plus__min(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).
fof(conj_thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
! [X13] :
( ne(X13)
=> ! [X14] :
( ne(X14)
=> ! [X15] :
( mem(X15,ty_2Ebinary__ieee_2Efloat(X13,X14))
=> ap(c_2Ebinary__ieee_2Efloat__to__real(X13,X14),ap(c_2Ebinary__ieee_2Efloat__negate(X13,X14),X15)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X13,X14),X15)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
fof(conj_thm_2Ebinary__ieee_2Eulp,axiom,
! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ap(c_2Ebinary__ieee_2Eulp(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X11,X12),ap(c_2Ebinary__ieee_2Efloat__plus__min(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eulp) ).
fof(ap_tp,axiom,
! [X1,X2,X3] :
( mem(X3,arr(X1,X2))
=> ! [X4] :
( mem(X4,X1)
=> mem(ap(X3,X4),X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax',ap_tp) ).
fof(mem_c_2Ebinary__ieee_2Efloat__plus__min,axiom,
! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> mem(c_2Ebinary__ieee_2Efloat__plus__min(X11,X12),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X11,X12)),ty_2Ebinary__ieee_2Efloat(X11,X12))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).
fof(mem_c_2Ebool_2Ethe__value,axiom,
! [X13] :
( ne(X13)
=> mem(c_2Ebool_2Ethe__value(X13),ty_2Ebool_2Eitself(X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Ebool_2Ethe__value) ).
fof(ne_ty_2Epair_2Eprod,axiom,
! [X9] :
( ne(X9)
=> ! [X10] :
( ne(X10)
=> ne(ty_2Epair_2Eprod(X9,X10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ne_ty_2Epair_2Eprod) ).
fof(c_0_7,negated_conjecture,
~ ! [X11] :
( ne(X11)
=> ! [X12] :
( ne(X12)
=> ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12)))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X11,X12),ap(c_2Ebinary__ieee_2Efloat__negate(X11,X12),ap(c_2Ebinary__ieee_2Efloat__plus__min(X11,X12),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X11,X12))))) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Ebinary__ieee_2Eneg__ulp]) ).
fof(c_0_8,negated_conjecture,
( ne(esk3_0)
& ne(esk4_0)
& ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__negate(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_9,plain,
! [X106,X107,X108] :
( ~ ne(X106)
| ~ ne(X107)
| ~ mem(X108,ty_2Ebinary__ieee_2Efloat(X106,X107))
| ap(c_2Ebinary__ieee_2Efloat__to__real(X106,X107),ap(c_2Ebinary__ieee_2Efloat__negate(X106,X107),X108)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X106,X107),X108)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ebinary__ieee_2Efloat__to__real__negate])])]) ).
cnf(c_0_10,negated_conjecture,
ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)))) != ap(c_2Ebinary__ieee_2Efloat__to__real(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__negate(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0))))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__negate(X1,X2),X3)) = ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),X3))
| ~ ne(X1)
| ~ ne(X2)
| ~ mem(X3,ty_2Ebinary__ieee_2Efloat(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
ne(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
ne(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X109,X110] :
( ~ ne(X109)
| ~ ne(X110)
| ap(c_2Ebinary__ieee_2Eulp(X109,X110),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X109,X110))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X109,X110),ap(c_2Ebinary__ieee_2Efloat__plus__min(X109,X110),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X109,X110)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_thm_2Ebinary__ieee_2Eulp])])]) ).
fof(c_0_15,plain,
! [X67,X68,X69,X70] :
( ~ mem(X69,arr(X67,X68))
| ~ mem(X70,X67)
| mem(ap(X69,X70),X68) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])]) ).
fof(c_0_16,plain,
! [X90,X91] :
( ~ ne(X90)
| ~ ne(X91)
| mem(c_2Ebinary__ieee_2Efloat__plus__min(X90,X91),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X90,X91)),ty_2Ebinary__ieee_2Efloat(X90,X91))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Ebinary__ieee_2Efloat__plus__min])])]) ).
cnf(c_0_17,negated_conjecture,
( ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Efloat__to__real(esk3_0,esk4_0),ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0))))) != ap(c_2Erealax_2Ereal__neg,ap(c_2Ebinary__ieee_2Eulp(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0))))
| ~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0))),ty_2Ebinary__ieee_2Efloat(esk3_0,esk4_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]) ).
cnf(c_0_18,plain,
( ap(c_2Ebinary__ieee_2Eulp(X1,X2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X2))) = ap(c_2Ebinary__ieee_2Efloat__to__real(X1,X2),ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(X1,X2))))
| ~ ne(X1)
| ~ ne(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( mem(ap(X1,X4),X3)
| ~ mem(X1,arr(X2,X3))
| ~ mem(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( mem(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),arr(ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)),ty_2Ebinary__ieee_2Efloat(X1,X2)))
| ~ ne(X1)
| ~ ne(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,negated_conjecture,
~ mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(esk3_0,esk4_0),c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0))),ty_2Ebinary__ieee_2Efloat(esk3_0,esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_12]),c_0_13])]) ).
cnf(c_0_22,plain,
( mem(ap(c_2Ebinary__ieee_2Efloat__plus__min(X1,X2),X3),ty_2Ebinary__ieee_2Efloat(X1,X2))
| ~ mem(X3,ty_2Ebool_2Eitself(ty_2Epair_2Eprod(X1,X2)))
| ~ ne(X2)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_23,plain,
! [X94] :
( ~ ne(X94)
| mem(c_2Ebool_2Ethe__value(X94),ty_2Ebool_2Eitself(X94)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mem_c_2Ebool_2Ethe__value])]) ).
cnf(c_0_24,negated_conjecture,
~ mem(c_2Ebool_2Ethe__value(ty_2Epair_2Eprod(esk3_0,esk4_0)),ty_2Ebool_2Eitself(ty_2Epair_2Eprod(esk3_0,esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_12]),c_0_13])]) ).
cnf(c_0_25,plain,
( mem(c_2Ebool_2Ethe__value(X1),ty_2Ebool_2Eitself(X1))
| ~ ne(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_26,plain,
! [X87,X88] :
( ~ ne(X87)
| ~ ne(X88)
| ne(ty_2Epair_2Eprod(X87,X88)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ne_ty_2Epair_2Eprod])])]) ).
cnf(c_0_27,negated_conjecture,
~ ne(ty_2Epair_2Eprod(esk3_0,esk4_0)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( ne(ty_2Epair_2Eprod(X1,X2))
| ~ ne(X1)
| ~ ne(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP018+2 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n008.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 19:42:43 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Theorem for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------