TSTP Solution File: ALG031+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG031+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n026.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 Aug 22 10:30:57 EDT 2023
% Result : Theorem 11.33s 4.00s
% Output : CNFRefutation 11.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 84 ( 58 unt; 16 typ; 0 def)
% Number of atoms : 327 ( 320 equ)
% Maximal formula atoms : 156 ( 4 avg)
% Number of connectives : 279 ( 20 ~; 80 |; 178 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 87 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op2 > op1 > #nlpp > j > h > e25 > e24 > e23 > e22 > e21 > e20 > e15 > e14 > e13 > e12 > e11 > e10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e21,type,
e21: $i ).
tff(e15,type,
e15: $i ).
tff(e24,type,
e24: $i ).
tff(e20,type,
e20: $i ).
tff(e13,type,
e13: $i ).
tff(e22,type,
e22: $i ).
tff(op2,type,
op2: ( $i * $i ) > $i ).
tff(op1,type,
op1: ( $i * $i ) > $i ).
tff(e25,type,
e25: $i ).
tff(e10,type,
e10: $i ).
tff(h,type,
h: $i > $i ).
tff(e23,type,
e23: $i ).
tff(e14,type,
e14: $i ).
tff(e12,type,
e12: $i ).
tff(j,type,
j: $i > $i ).
tff(e11,type,
e11: $i ).
tff(f_69,axiom,
( ( e10 != e11 )
& ( e10 != e12 )
& ( e10 != e13 )
& ( e10 != e14 )
& ( e10 != e15 )
& ( e11 != e12 )
& ( e11 != e13 )
& ( e11 != e14 )
& ( e11 != e15 )
& ( e12 != e13 )
& ( e12 != e14 )
& ( e12 != e15 )
& ( e13 != e14 )
& ( e13 != e15 )
& ( e14 != e15 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f_362,axiom,
( ( op2(e20,e20) = e20 )
& ( op2(e20,e21) = e21 )
& ( op2(e20,e22) = e22 )
& ( op2(e20,e23) = e23 )
& ( op2(e20,e24) = e24 )
& ( op2(e20,e25) = e25 )
& ( op2(e21,e20) = e21 )
& ( op2(e21,e21) = e20 )
& ( op2(e21,e22) = e23 )
& ( op2(e21,e23) = e22 )
& ( op2(e21,e24) = e25 )
& ( op2(e21,e25) = e24 )
& ( op2(e22,e20) = e22 )
& ( op2(e22,e21) = e24 )
& ( op2(e22,e22) = e20 )
& ( op2(e22,e23) = e25 )
& ( op2(e22,e24) = e21 )
& ( op2(e22,e25) = e23 )
& ( op2(e23,e20) = e23 )
& ( op2(e23,e21) = e25 )
& ( op2(e23,e22) = e21 )
& ( op2(e23,e23) = e24 )
& ( op2(e23,e24) = e20 )
& ( op2(e23,e25) = e22 )
& ( op2(e24,e20) = e24 )
& ( op2(e24,e21) = e22 )
& ( op2(e24,e22) = e25 )
& ( op2(e24,e23) = e20 )
& ( op2(e24,e24) = e23 )
& ( op2(e24,e25) = e21 )
& ( op2(e25,e20) = e25 )
& ( op2(e25,e21) = e23 )
& ( op2(e25,e22) = e24 )
& ( op2(e25,e23) = e21 )
& ( op2(e25,e24) = e22 )
& ( op2(e25,e25) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f_291,axiom,
( ( op1(e10,e10) = e10 )
& ( op1(e10,e11) = e11 )
& ( op1(e10,e12) = e12 )
& ( op1(e10,e13) = e13 )
& ( op1(e10,e14) = e14 )
& ( op1(e10,e15) = e15 )
& ( op1(e11,e10) = e11 )
& ( op1(e11,e11) = e10 )
& ( op1(e11,e12) = e14 )
& ( op1(e11,e13) = e15 )
& ( op1(e11,e14) = e12 )
& ( op1(e11,e15) = e13 )
& ( op1(e12,e10) = e12 )
& ( op1(e12,e11) = e14 )
& ( op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10 )
& ( op1(e12,e14) = e15 )
& ( op1(e12,e15) = e11 )
& ( op1(e13,e10) = e13 )
& ( op1(e13,e11) = e15 )
& ( op1(e13,e12) = e10 )
& ( op1(e13,e13) = e12 )
& ( op1(e13,e14) = e11 )
& ( op1(e13,e15) = e14 )
& ( op1(e14,e10) = e14 )
& ( op1(e14,e11) = e12 )
& ( op1(e14,e12) = e15 )
& ( op1(e14,e13) = e11 )
& ( op1(e14,e14) = e13 )
& ( op1(e14,e15) = e10 )
& ( op1(e15,e10) = e15 )
& ( op1(e15,e11) = e13 )
& ( op1(e15,e12) = e11 )
& ( op1(e15,e13) = e14 )
& ( op1(e15,e14) = e10 )
& ( op1(e15,e15) = e12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f_675,negated_conjecture,
~ ( ( ( ( h(e10) = e20 )
| ( h(e10) = e21 )
| ( h(e10) = e22 )
| ( h(e10) = e23 )
| ( h(e10) = e24 )
| ( h(e10) = e25 ) )
& ( ( h(e11) = e20 )
| ( h(e11) = e21 )
| ( h(e11) = e22 )
| ( h(e11) = e23 )
| ( h(e11) = e24 )
| ( h(e11) = e25 ) )
& ( ( h(e12) = e20 )
| ( h(e12) = e21 )
| ( h(e12) = e22 )
| ( h(e12) = e23 )
| ( h(e12) = e24 )
| ( h(e12) = e25 ) )
& ( ( h(e13) = e20 )
| ( h(e13) = e21 )
| ( h(e13) = e22 )
| ( h(e13) = e23 )
| ( h(e13) = e24 )
| ( h(e13) = e25 ) )
& ( ( h(e14) = e20 )
| ( h(e14) = e21 )
| ( h(e14) = e22 )
| ( h(e14) = e23 )
| ( h(e14) = e24 )
| ( h(e14) = e25 ) )
& ( ( h(e15) = e20 )
| ( h(e15) = e21 )
| ( h(e15) = e22 )
| ( h(e15) = e23 )
| ( h(e15) = e24 )
| ( h(e15) = e25 ) )
& ( ( j(e20) = e10 )
| ( j(e20) = e11 )
| ( j(e20) = e12 )
| ( j(e20) = e13 )
| ( j(e20) = e14 )
| ( j(e20) = e15 ) )
& ( ( j(e21) = e10 )
| ( j(e21) = e11 )
| ( j(e21) = e12 )
| ( j(e21) = e13 )
| ( j(e21) = e14 )
| ( j(e21) = e15 ) )
& ( ( j(e22) = e10 )
| ( j(e22) = e11 )
| ( j(e22) = e12 )
| ( j(e22) = e13 )
| ( j(e22) = e14 )
| ( j(e22) = e15 ) )
& ( ( j(e23) = e10 )
| ( j(e23) = e11 )
| ( j(e23) = e12 )
| ( j(e23) = e13 )
| ( j(e23) = e14 )
| ( j(e23) = e15 ) )
& ( ( j(e24) = e10 )
| ( j(e24) = e11 )
| ( j(e24) = e12 )
| ( j(e24) = e13 )
| ( j(e24) = e14 )
| ( j(e24) = e15 ) )
& ( ( j(e25) = e10 )
| ( j(e25) = e11 )
| ( j(e25) = e12 )
| ( j(e25) = e13 )
| ( j(e25) = e14 )
| ( j(e25) = e15 ) ) )
=> ~ ( ( h(op1(e10,e10)) = op2(h(e10),h(e10)) )
& ( h(op1(e10,e11)) = op2(h(e10),h(e11)) )
& ( h(op1(e10,e12)) = op2(h(e10),h(e12)) )
& ( h(op1(e10,e13)) = op2(h(e10),h(e13)) )
& ( h(op1(e10,e14)) = op2(h(e10),h(e14)) )
& ( h(op1(e10,e15)) = op2(h(e10),h(e15)) )
& ( h(op1(e11,e10)) = op2(h(e11),h(e10)) )
& ( h(op1(e11,e11)) = op2(h(e11),h(e11)) )
& ( h(op1(e11,e12)) = op2(h(e11),h(e12)) )
& ( h(op1(e11,e13)) = op2(h(e11),h(e13)) )
& ( h(op1(e11,e14)) = op2(h(e11),h(e14)) )
& ( h(op1(e11,e15)) = op2(h(e11),h(e15)) )
& ( h(op1(e12,e10)) = op2(h(e12),h(e10)) )
& ( h(op1(e12,e11)) = op2(h(e12),h(e11)) )
& ( h(op1(e12,e12)) = op2(h(e12),h(e12)) )
& ( h(op1(e12,e13)) = op2(h(e12),h(e13)) )
& ( h(op1(e12,e14)) = op2(h(e12),h(e14)) )
& ( h(op1(e12,e15)) = op2(h(e12),h(e15)) )
& ( h(op1(e13,e10)) = op2(h(e13),h(e10)) )
& ( h(op1(e13,e11)) = op2(h(e13),h(e11)) )
& ( h(op1(e13,e12)) = op2(h(e13),h(e12)) )
& ( h(op1(e13,e13)) = op2(h(e13),h(e13)) )
& ( h(op1(e13,e14)) = op2(h(e13),h(e14)) )
& ( h(op1(e13,e15)) = op2(h(e13),h(e15)) )
& ( h(op1(e14,e10)) = op2(h(e14),h(e10)) )
& ( h(op1(e14,e11)) = op2(h(e14),h(e11)) )
& ( h(op1(e14,e12)) = op2(h(e14),h(e12)) )
& ( h(op1(e14,e13)) = op2(h(e14),h(e13)) )
& ( h(op1(e14,e14)) = op2(h(e14),h(e14)) )
& ( h(op1(e14,e15)) = op2(h(e14),h(e15)) )
& ( h(op1(e15,e10)) = op2(h(e15),h(e10)) )
& ( h(op1(e15,e11)) = op2(h(e15),h(e11)) )
& ( h(op1(e15,e12)) = op2(h(e15),h(e12)) )
& ( h(op1(e15,e13)) = op2(h(e15),h(e13)) )
& ( h(op1(e15,e14)) = op2(h(e15),h(e14)) )
& ( h(op1(e15,e15)) = op2(h(e15),h(e15)) )
& ( j(op2(e20,e20)) = op1(j(e20),j(e20)) )
& ( j(op2(e20,e21)) = op1(j(e20),j(e21)) )
& ( j(op2(e20,e22)) = op1(j(e20),j(e22)) )
& ( j(op2(e20,e23)) = op1(j(e20),j(e23)) )
& ( j(op2(e20,e24)) = op1(j(e20),j(e24)) )
& ( j(op2(e20,e25)) = op1(j(e20),j(e25)) )
& ( j(op2(e21,e20)) = op1(j(e21),j(e20)) )
& ( j(op2(e21,e21)) = op1(j(e21),j(e21)) )
& ( j(op2(e21,e22)) = op1(j(e21),j(e22)) )
& ( j(op2(e21,e23)) = op1(j(e21),j(e23)) )
& ( j(op2(e21,e24)) = op1(j(e21),j(e24)) )
& ( j(op2(e21,e25)) = op1(j(e21),j(e25)) )
& ( j(op2(e22,e20)) = op1(j(e22),j(e20)) )
& ( j(op2(e22,e21)) = op1(j(e22),j(e21)) )
& ( j(op2(e22,e22)) = op1(j(e22),j(e22)) )
& ( j(op2(e22,e23)) = op1(j(e22),j(e23)) )
& ( j(op2(e22,e24)) = op1(j(e22),j(e24)) )
& ( j(op2(e22,e25)) = op1(j(e22),j(e25)) )
& ( j(op2(e23,e20)) = op1(j(e23),j(e20)) )
& ( j(op2(e23,e21)) = op1(j(e23),j(e21)) )
& ( j(op2(e23,e22)) = op1(j(e23),j(e22)) )
& ( j(op2(e23,e23)) = op1(j(e23),j(e23)) )
& ( j(op2(e23,e24)) = op1(j(e23),j(e24)) )
& ( j(op2(e23,e25)) = op1(j(e23),j(e25)) )
& ( j(op2(e24,e20)) = op1(j(e24),j(e20)) )
& ( j(op2(e24,e21)) = op1(j(e24),j(e21)) )
& ( j(op2(e24,e22)) = op1(j(e24),j(e22)) )
& ( j(op2(e24,e23)) = op1(j(e24),j(e23)) )
& ( j(op2(e24,e24)) = op1(j(e24),j(e24)) )
& ( j(op2(e24,e25)) = op1(j(e24),j(e25)) )
& ( j(op2(e25,e20)) = op1(j(e25),j(e20)) )
& ( j(op2(e25,e21)) = op1(j(e25),j(e21)) )
& ( j(op2(e25,e22)) = op1(j(e25),j(e22)) )
& ( j(op2(e25,e23)) = op1(j(e25),j(e23)) )
& ( j(op2(e25,e24)) = op1(j(e25),j(e24)) )
& ( j(op2(e25,e25)) = op1(j(e25),j(e25)) )
& ( h(j(e20)) = e20 )
& ( h(j(e21)) = e21 )
& ( h(j(e22)) = e22 )
& ( h(j(e23)) = e23 )
& ( h(j(e24)) = e24 )
& ( h(j(e25)) = e25 )
& ( j(h(e10)) = e10 )
& ( j(h(e11)) = e11 )
& ( j(h(e12)) = e12 )
& ( j(h(e13)) = e13 )
& ( j(h(e14)) = e14 )
& ( j(h(e15)) = e15 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(c_4,plain,
e15 != e13,
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_220,plain,
op2(e24,e24) = e23,
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_234,plain,
op2(e23,e23) = e24,
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_12,plain,
e13 != e12,
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_176,plain,
op1(e12,e12) = e13,
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_464,plain,
( ( h(e12) = e25 )
| ( h(e12) = e24 )
| ( h(e12) = e23 )
| ( h(e12) = e22 )
| ( h(e12) = e21 )
| ( h(e12) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_675]) ).
tff(c_1977,plain,
h(e12) = e20,
inference(splitLeft,[status(thm)],[c_464]) ).
tff(c_284,plain,
j(h(e12)) = e12,
inference(cnfTransformation,[status(thm)],[f_675]) ).
tff(c_1978,plain,
j(e20) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_1977,c_284]) ).
tff(c_276,plain,
op2(e20,e20) = e20,
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_372,plain,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
inference(cnfTransformation,[status(thm)],[f_675]) ).
tff(c_469,plain,
op1(j(e20),j(e20)) = j(e20),
inference(demodulation,[status(thm),theory(equality)],[c_276,c_372]) ).
tff(c_2411,plain,
e13 = e12,
inference(demodulation,[status(thm),theory(equality)],[c_176,c_1978,c_1978,c_1978,c_469]) ).
tff(c_2412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_2411]) ).
tff(c_2414,plain,
h(e12) != e20,
inference(splitRight,[status(thm)],[c_464]) ).
tff(c_248,plain,
op2(e22,e22) = e20,
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_262,plain,
op2(e21,e21) = e20,
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_206,plain,
op2(e25,e25) = e20,
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_458,plain,
( ( h(e15) = e25 )
| ( h(e15) = e24 )
| ( h(e15) = e23 )
| ( h(e15) = e22 )
| ( h(e15) = e21 )
| ( h(e15) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_675]) ).
tff(c_3238,plain,
h(e15) = e20,
inference(splitLeft,[status(thm)],[c_458]) ).
tff(c_134,plain,
op1(e15,e15) = e12,
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_374,plain,
op2(h(e15),h(e15)) = h(op1(e15,e15)),
inference(cnfTransformation,[status(thm)],[f_675]) ).
tff(c_540,plain,
op2(h(e15),h(e15)) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_134,c_374]) ).
tff(c_3239,plain,
op2(e20,e20) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_3238,c_3238,c_540]) ).
tff(c_3249,plain,
h(e12) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_276,c_3239]) ).
tff(c_3251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2414,c_3249]) ).
tff(c_3252,plain,
( ( h(e15) = e21 )
| ( h(e15) = e22 )
| ( h(e15) = e23 )
| ( h(e15) = e24 )
| ( h(e15) = e25 ) ),
inference(splitRight,[status(thm)],[c_458]) ).
tff(c_3434,plain,
h(e15) = e25,
inference(splitLeft,[status(thm)],[c_3252]) ).
tff(c_3442,plain,
op2(e25,e25) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_3434,c_3434,c_540]) ).
tff(c_3452,plain,
h(e12) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_206,c_3442]) ).
tff(c_3454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2414,c_3452]) ).
tff(c_3455,plain,
( ( h(e15) = e24 )
| ( h(e15) = e23 )
| ( h(e15) = e22 )
| ( h(e15) = e21 ) ),
inference(splitRight,[status(thm)],[c_3252]) ).
tff(c_3457,plain,
h(e15) = e21,
inference(splitLeft,[status(thm)],[c_3455]) ).
tff(c_3466,plain,
op2(e21,e21) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_3457,c_3457,c_540]) ).
tff(c_3476,plain,
h(e12) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_262,c_3466]) ).
tff(c_3478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2414,c_3476]) ).
tff(c_3479,plain,
( ( h(e15) = e22 )
| ( h(e15) = e23 )
| ( h(e15) = e24 ) ),
inference(splitRight,[status(thm)],[c_3455]) ).
tff(c_3505,plain,
h(e15) = e24,
inference(splitLeft,[status(thm)],[c_3479]) ).
tff(c_3515,plain,
op2(e24,e24) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_3505,c_3505,c_540]) ).
tff(c_3525,plain,
h(e12) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_220,c_3515]) ).
tff(c_416,plain,
op2(h(e12),h(e12)) = h(op1(e12,e12)),
inference(cnfTransformation,[status(thm)],[f_675]) ).
tff(c_519,plain,
op2(h(e12),h(e12)) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_176,c_416]) ).
tff(c_3538,plain,
op2(e23,e23) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_3525,c_3525,c_519]) ).
tff(c_3546,plain,
h(e13) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_234,c_3538]) ).
tff(c_282,plain,
j(h(e13)) = e13,
inference(cnfTransformation,[status(thm)],[f_675]) ).
tff(c_3603,plain,
j(e24) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_3546,c_282]) ).
tff(c_278,plain,
j(h(e15)) = e15,
inference(cnfTransformation,[status(thm)],[f_675]) ).
tff(c_3524,plain,
j(e24) = e15,
inference(demodulation,[status(thm),theory(equality)],[c_3505,c_278]) ).
tff(c_3610,plain,
e15 = e13,
inference(demodulation,[status(thm),theory(equality)],[c_3603,c_3524]) ).
tff(c_3612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_3610]) ).
tff(c_3613,plain,
( ( h(e15) = e23 )
| ( h(e15) = e22 ) ),
inference(splitRight,[status(thm)],[c_3479]) ).
tff(c_3615,plain,
h(e15) = e22,
inference(splitLeft,[status(thm)],[c_3613]) ).
tff(c_3626,plain,
op2(e22,e22) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_3615,c_3615,c_540]) ).
tff(c_3636,plain,
h(e12) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_248,c_3626]) ).
tff(c_3638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2414,c_3636]) ).
tff(c_3639,plain,
h(e15) = e23,
inference(splitRight,[status(thm)],[c_3613]) ).
tff(c_3651,plain,
op2(e23,e23) = h(e12),
inference(demodulation,[status(thm),theory(equality)],[c_3639,c_3639,c_540]) ).
tff(c_3661,plain,
h(e12) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_234,c_3651]) ).
tff(c_3675,plain,
op2(e24,e24) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_3661,c_3661,c_519]) ).
tff(c_3683,plain,
h(e13) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_220,c_3675]) ).
tff(c_3719,plain,
j(e23) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_3683,c_282]) ).
tff(c_3660,plain,
j(e23) = e15,
inference(demodulation,[status(thm),theory(equality)],[c_3639,c_278]) ).
tff(c_3746,plain,
e15 = e13,
inference(demodulation,[status(thm),theory(equality)],[c_3719,c_3660]) ).
tff(c_3748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4,c_3746]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG031+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 20:40:16 EDT 2023
% 0.15/0.35 % CPUTime :
% 11.33/4.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.33/4.01
% 11.33/4.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.56/4.05
% 11.56/4.05 Inference rules
% 11.56/4.05 ----------------------
% 11.56/4.05 #Ref : 0
% 11.56/4.05 #Sup : 1084
% 11.56/4.05 #Fact : 0
% 11.56/4.05 #Define : 0
% 11.56/4.05 #Split : 57
% 11.56/4.05 #Chain : 0
% 11.56/4.05 #Close : 0
% 11.56/4.05
% 11.56/4.05 Ordering : KBO
% 11.56/4.05
% 11.56/4.05 Simplification rules
% 11.56/4.05 ----------------------
% 11.56/4.05 #Subsume : 27
% 11.56/4.05 #Demod : 990
% 11.56/4.05 #Tautology : 1142
% 11.56/4.05 #SimpNegUnit : 64
% 11.56/4.05 #BackRed : 501
% 11.56/4.05
% 11.56/4.05 #Partial instantiations: 0
% 11.56/4.05 #Strategies tried : 1
% 11.56/4.05
% 11.56/4.05 Timing (in seconds)
% 11.56/4.05 ----------------------
% 11.56/4.06 Preprocessing : 0.79
% 11.56/4.06 Parsing : 0.41
% 11.56/4.06 CNF conversion : 0.04
% 11.56/4.06 Main loop : 2.12
% 11.56/4.06 Inferencing : 0.51
% 11.56/4.06 Reduction : 0.92
% 11.56/4.06 Demodulation : 0.64
% 11.56/4.06 BG Simplification : 0.05
% 11.56/4.06 Subsumption : 0.42
% 11.56/4.06 Abstraction : 0.03
% 11.56/4.06 MUC search : 0.00
% 11.56/4.06 Cooper : 0.00
% 11.56/4.06 Total : 2.97
% 11.56/4.06 Index Insertion : 0.00
% 11.56/4.06 Index Deletion : 0.00
% 11.56/4.06 Index Matching : 0.00
% 11.56/4.06 BG Taut test : 0.00
%------------------------------------------------------------------------------