%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : HWV091+1 : TPTP v9.2.1. Released v6.1.0.
% 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 : 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 04:30:39 PM UTC 2026
% Result : Theorem 40.33s 27.40s
% Output : CNFRefutation 40.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 108 ( 44 ~; 34 |; 16 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 37 ( 2 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(writeUnaryOperator_2751,axiom,
! [X2] :
( ~ v22290(X2)
<=> v22291(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_2751) ).
fof(writeUnaryOperator_2753,axiom,
! [X2] :
( ~ v4(X2)
<=> v22287(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_2753) ).
fof(writeUnaryOperator_2752,axiom,
! [X2] :
( ~ v22287(X2)
<=> v22288(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeUnaryOperator_2752) ).
fof(addZeroExtensionConstraint_8,axiom,
! [X2] : ~ v22296(X2,bitIndex9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addZeroExtensionConstraint_8) ).
fof(addAssertion,conjecture,
! [X2] :
( reachableState(X2)
=> v4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssertion) ).
fof(addAssignment_8256,axiom,
! [X2] :
( v22292(X2,bitIndex1)
<=> $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_8256) ).
fof(addAssignment_8257,axiom,
! [X2] :
( v22292(X2,bitIndex0)
<=> v22293(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addAssignment_8257) ).
fof(writeBinaryOperatorShiftedRanges_1475,axiom,
! [X2] :
( v22314(X2)
<=> ( v22292(X2,bitIndex0)
| v22292(X2,bitIndex1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_1475) ).
fof(writeBinaryOperatorShiftedRanges_1473,axiom,
! [X2] :
( v22293(X2)
<=> ( v22295(X2)
& v22296(X2,bitIndex9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_1473) ).
fof(writeBinaryOperatorShiftedRanges_1474,axiom,
! [X2] :
( v22291(X2)
<=> ( v22292(X2,bitIndex0)
& v22292(X2,bitIndex1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorShiftedRanges_1474) ).
fof(writeBinaryOperatorEqualRangesSingleBits_5375,axiom,
! [X2] :
( v22288(X2)
<=> ( v22290(X2)
& v22314(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',writeBinaryOperatorEqualRangesSingleBits_5375) ).
fof(c_0_11,plain,
! [X2] :
( ~ v22290(X2)
<=> v22291(X2) ),
inference(fof_simplification,[status(thm)],[writeUnaryOperator_2751]) ).
fof(c_0_12,plain,
! [X2] :
( ~ v4(X2)
<=> v22287(X2) ),
inference(fof_simplification,[status(thm)],[writeUnaryOperator_2753]) ).
fof(c_0_13,plain,
! [X2] :
( ~ v22287(X2)
<=> v22288(X2) ),
inference(fof_simplification,[status(thm)],[writeUnaryOperator_2752]) ).
fof(c_0_14,plain,
! [X2] : ~ v22296(X2,bitIndex9),
inference(fof_simplification,[status(thm)],[addZeroExtensionConstraint_8]) ).
fof(c_0_15,negated_conjecture,
~ ! [X2] :
( reachableState(X2)
=> v4(X2) ),
inference(assume_negation,[status(cth)],[addAssertion]) ).
fof(c_0_16,plain,
! [X2] : v22292(X2,bitIndex1),
inference(fof_simplification,[status(thm)],[addAssignment_8256]) ).
fof(c_0_17,plain,
! [X27206] :
( ( ~ v22292(X27206,bitIndex0)
| v22293(X27206) )
& ( ~ v22293(X27206)
| v22292(X27206,bitIndex0) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[addAssignment_8257])]) ).
fof(c_0_18,plain,
! [X27203] :
( ( ~ v22314(X27203)
| v22292(X27203,bitIndex0)
| v22292(X27203,bitIndex1) )
& ( ~ v22292(X27203,bitIndex0)
| v22314(X27203) )
& ( ~ v22292(X27203,bitIndex1)
| v22314(X27203) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_1475])])]) ).
fof(c_0_19,plain,
! [X27208] :
( ( v22295(X27208)
| ~ v22293(X27208) )
& ( v22296(X27208,bitIndex9)
| ~ v22293(X27208) )
& ( ~ v22295(X27208)
| ~ v22296(X27208,bitIndex9)
| v22293(X27208) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_1473])])]) ).
fof(c_0_20,plain,
! [X27205] :
( ( v22292(X27205,bitIndex0)
| ~ v22291(X27205) )
& ( v22292(X27205,bitIndex1)
| ~ v22291(X27205) )
& ( ~ v22292(X27205,bitIndex0)
| ~ v22292(X27205,bitIndex1)
| v22291(X27205) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorShiftedRanges_1474])])]) ).
fof(c_0_21,plain,
! [X27202] :
( ( v22290(X27202)
| ~ v22288(X27202) )
& ( v22314(X27202)
| ~ v22288(X27202) )
& ( ~ v22290(X27202)
| ~ v22314(X27202)
| v22288(X27202) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[writeBinaryOperatorEqualRangesSingleBits_5375])])]) ).
fof(c_0_22,plain,
! [X27204] :
( ( v22290(X27204)
| v22291(X27204) )
& ( ~ v22291(X27204)
| ~ v22290(X27204) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
fof(c_0_23,plain,
! [X27200] :
( ( v4(X27200)
| v22287(X27200) )
& ( ~ v22287(X27200)
| ~ v4(X27200) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_24,plain,
! [X27201] :
( ( v22287(X27201)
| v22288(X27201) )
& ( ~ v22288(X27201)
| ~ v22287(X27201) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_25,plain,
! [X27232] : ~ v22296(X27232,bitIndex9),
inference(variable_rename,[status(thm)],[c_0_14]) ).
fof(c_0_26,negated_conjecture,
( reachableState(esk1_0)
& ~ v4(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_27,plain,
! [X27207] : v22292(X27207,bitIndex1),
inference(variable_rename,[status(thm)],[c_0_16]) ).
cnf(c_0_28,plain,
( v22293(X1)
| ~ v22292(X1,bitIndex0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_29,plain,
( v22314(X1)
| ~ v22292(X1,bitIndex1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( v22296(X1,bitIndex9)
| ~ v22293(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,plain,
( v22292(X1,bitIndex0)
| ~ v22291(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,plain,
( v22288(X1)
| ~ v22290(X1)
| ~ v22314(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
( v22290(X1)
| v22291(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( v4(X1)
| v22287(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,plain,
( ~ v22288(X1)
| ~ v22287(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
~ v22296(X1,bitIndex9),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,negated_conjecture,
~ v4(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
v22292(X1,bitIndex1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_28,c_0_29,c_0_30,c_0_31,c_0_32,c_0_33,c_0_34,c_0_35,c_0_36,c_0_37,c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : HWV091+1 : TPTP v9.2.1. Released v6.1.0.
% 0.13/0.13 % 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
% 0.17/0.34 % Computer : n008.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 19:24:13 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.19/0.36 % start to proof: theBenchmark
% 40.33/27.40 % Version : CSE_E---1.7
% 40.33/27.40 % Problem : theBenchmark.p
% 40.33/27.40 % SZS status Theorem for theBenchmark.p
% 40.33/27.40 % SZS output start CNFRefutation
% See solution above
% 40.33/27.45 % Total time : 25.136s
%------------------------------------------------------------------------------