TSTP Solution File: ALG205+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG205+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.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 10:32:20 EDT 2023
% Result : Theorem 17.95s 7.11s
% Output : CNFRefutation 18.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 97 ( 69 unt; 18 typ; 0 def)
% Number of atoms : 425 ( 418 equ)
% Maximal formula atoms : 210 ( 5 avg)
% Number of connectives : 376 ( 30 ~; 105 |; 240 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 115 ( 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 : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op2 > op1 > #nlpp > j > h > e26 > e25 > e24 > e23 > e22 > e21 > e20 > e16 > 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(e16,type,
e16: $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(e26,type,
e26: $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_87,axiom,
( ( e10 != e11 )
& ( e10 != e12 )
& ( e10 != e13 )
& ( e10 != e14 )
& ( e10 != e15 )
& ( e10 != e16 )
& ( e11 != e12 )
& ( e11 != e13 )
& ( e11 != e14 )
& ( e11 != e15 )
& ( e11 != e16 )
& ( e12 != e13 )
& ( e12 != e14 )
& ( e12 != e15 )
& ( e12 != e16 )
& ( e13 != e14 )
& ( e13 != e15 )
& ( e13 != e16 )
& ( e14 != e15 )
& ( e14 != e16 )
& ( e15 != e16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f_392,axiom,
( ( op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10 )
& ( op1(e10,e12) = e16 )
& ( op1(e10,e13) = e11 )
& ( op1(e10,e14) = e14 )
& ( op1(e10,e15) = e12 )
& ( op1(e10,e16) = e15 )
& ( op1(e11,e10) = e10 )
& ( op1(e11,e11) = e16 )
& ( op1(e11,e12) = e11 )
& ( op1(e11,e13) = e15 )
& ( op1(e11,e14) = e13 )
& ( op1(e11,e15) = e14 )
& ( op1(e11,e16) = e12 )
& ( op1(e12,e10) = e16 )
& ( op1(e12,e11) = e11 )
& ( op1(e12,e12) = e15 )
& ( op1(e12,e13) = e12 )
& ( op1(e12,e14) = e10 )
& ( op1(e12,e15) = e13 )
& ( op1(e12,e16) = e14 )
& ( op1(e13,e10) = e11 )
& ( op1(e13,e11) = e15 )
& ( op1(e13,e12) = e12 )
& ( op1(e13,e13) = e14 )
& ( op1(e13,e14) = e16 )
& ( op1(e13,e15) = e10 )
& ( op1(e13,e16) = e13 )
& ( op1(e14,e10) = e14 )
& ( op1(e14,e11) = e13 )
& ( op1(e14,e12) = e10 )
& ( op1(e14,e13) = e16 )
& ( op1(e14,e14) = e12 )
& ( op1(e14,e15) = e15 )
& ( op1(e14,e16) = e11 )
& ( op1(e15,e10) = e12 )
& ( op1(e15,e11) = e14 )
& ( op1(e15,e12) = e13 )
& ( op1(e15,e13) = e10 )
& ( op1(e15,e14) = e15 )
& ( op1(e15,e15) = e11 )
& ( op1(e15,e16) = e16 )
& ( op1(e16,e10) = e15 )
& ( op1(e16,e11) = e12 )
& ( op1(e16,e12) = e14 )
& ( op1(e16,e13) = e13 )
& ( op1(e16,e14) = e11 )
& ( op1(e16,e15) = e16 )
& ( op1(e16,e16) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f_910,negated_conjecture,
~ ( ( ( ( h(e10) = e20 )
| ( h(e10) = e21 )
| ( h(e10) = e22 )
| ( h(e10) = e23 )
| ( h(e10) = e24 )
| ( h(e10) = e25 )
| ( h(e10) = e26 ) )
& ( ( h(e11) = e20 )
| ( h(e11) = e21 )
| ( h(e11) = e22 )
| ( h(e11) = e23 )
| ( h(e11) = e24 )
| ( h(e11) = e25 )
| ( h(e11) = e26 ) )
& ( ( h(e12) = e20 )
| ( h(e12) = e21 )
| ( h(e12) = e22 )
| ( h(e12) = e23 )
| ( h(e12) = e24 )
| ( h(e12) = e25 )
| ( h(e12) = e26 ) )
& ( ( h(e13) = e20 )
| ( h(e13) = e21 )
| ( h(e13) = e22 )
| ( h(e13) = e23 )
| ( h(e13) = e24 )
| ( h(e13) = e25 )
| ( h(e13) = e26 ) )
& ( ( h(e14) = e20 )
| ( h(e14) = e21 )
| ( h(e14) = e22 )
| ( h(e14) = e23 )
| ( h(e14) = e24 )
| ( h(e14) = e25 )
| ( h(e14) = e26 ) )
& ( ( h(e15) = e20 )
| ( h(e15) = e21 )
| ( h(e15) = e22 )
| ( h(e15) = e23 )
| ( h(e15) = e24 )
| ( h(e15) = e25 )
| ( h(e15) = e26 ) )
& ( ( h(e16) = e20 )
| ( h(e16) = e21 )
| ( h(e16) = e22 )
| ( h(e16) = e23 )
| ( h(e16) = e24 )
| ( h(e16) = e25 )
| ( h(e16) = e26 ) )
& ( ( j(e20) = e10 )
| ( j(e20) = e11 )
| ( j(e20) = e12 )
| ( j(e20) = e13 )
| ( j(e20) = e14 )
| ( j(e20) = e15 )
| ( j(e20) = e16 ) )
& ( ( j(e21) = e10 )
| ( j(e21) = e11 )
| ( j(e21) = e12 )
| ( j(e21) = e13 )
| ( j(e21) = e14 )
| ( j(e21) = e15 )
| ( j(e21) = e16 ) )
& ( ( j(e22) = e10 )
| ( j(e22) = e11 )
| ( j(e22) = e12 )
| ( j(e22) = e13 )
| ( j(e22) = e14 )
| ( j(e22) = e15 )
| ( j(e22) = e16 ) )
& ( ( j(e23) = e10 )
| ( j(e23) = e11 )
| ( j(e23) = e12 )
| ( j(e23) = e13 )
| ( j(e23) = e14 )
| ( j(e23) = e15 )
| ( j(e23) = e16 ) )
& ( ( j(e24) = e10 )
| ( j(e24) = e11 )
| ( j(e24) = e12 )
| ( j(e24) = e13 )
| ( j(e24) = e14 )
| ( j(e24) = e15 )
| ( j(e24) = e16 ) )
& ( ( j(e25) = e10 )
| ( j(e25) = e11 )
| ( j(e25) = e12 )
| ( j(e25) = e13 )
| ( j(e25) = e14 )
| ( j(e25) = e15 )
| ( j(e25) = e16 ) )
& ( ( j(e26) = e10 )
| ( j(e26) = e11 )
| ( j(e26) = e12 )
| ( j(e26) = e13 )
| ( j(e26) = e14 )
| ( j(e26) = e15 )
| ( j(e26) = e16 ) ) )
=> ~ ( ( 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(e10,e16)) = op2(h(e10),h(e16)) )
& ( 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(e11,e16)) = op2(h(e11),h(e16)) )
& ( 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(e12,e16)) = op2(h(e12),h(e16)) )
& ( 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(e13,e16)) = op2(h(e13),h(e16)) )
& ( 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(e14,e16)) = op2(h(e14),h(e16)) )
& ( 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)) )
& ( h(op1(e15,e16)) = op2(h(e15),h(e16)) )
& ( h(op1(e16,e10)) = op2(h(e16),h(e10)) )
& ( h(op1(e16,e11)) = op2(h(e16),h(e11)) )
& ( h(op1(e16,e12)) = op2(h(e16),h(e12)) )
& ( h(op1(e16,e13)) = op2(h(e16),h(e13)) )
& ( h(op1(e16,e14)) = op2(h(e16),h(e14)) )
& ( h(op1(e16,e15)) = op2(h(e16),h(e15)) )
& ( h(op1(e16,e16)) = op2(h(e16),h(e16)) )
& ( 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(e20,e26)) = op1(j(e20),j(e26)) )
& ( 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(e21,e26)) = op1(j(e21),j(e26)) )
& ( 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(e22,e26)) = op1(j(e22),j(e26)) )
& ( 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(e23,e26)) = op1(j(e23),j(e26)) )
& ( 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(e24,e26)) = op1(j(e24),j(e26)) )
& ( 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)) )
& ( j(op2(e25,e26)) = op1(j(e25),j(e26)) )
& ( j(op2(e26,e20)) = op1(j(e26),j(e20)) )
& ( j(op2(e26,e21)) = op1(j(e26),j(e21)) )
& ( j(op2(e26,e22)) = op1(j(e26),j(e22)) )
& ( j(op2(e26,e23)) = op1(j(e26),j(e23)) )
& ( j(op2(e26,e24)) = op1(j(e26),j(e24)) )
& ( j(op2(e26,e25)) = op1(j(e26),j(e25)) )
& ( j(op2(e26,e26)) = op1(j(e26),j(e26)) )
& ( h(j(e20)) = e20 )
& ( h(j(e21)) = e21 )
& ( h(j(e22)) = e22 )
& ( h(j(e23)) = e23 )
& ( h(j(e24)) = e24 )
& ( h(j(e25)) = e25 )
& ( h(j(e26)) = e26 )
& ( j(h(e10)) = e10 )
& ( j(h(e11)) = e11 )
& ( j(h(e12)) = e12 )
& ( j(h(e13)) = e13 )
& ( j(h(e14)) = e14 )
& ( j(h(e15)) = e15 )
& ( j(h(e16)) = e16 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_489,axiom,
( ( op2(e20,e20) = e22 )
& ( op2(e20,e21) = e20 )
& ( op2(e20,e22) = e21 )
& ( op2(e20,e23) = e25 )
& ( op2(e20,e24) = e23 )
& ( op2(e20,e25) = e24 )
& ( op2(e20,e26) = e26 )
& ( op2(e21,e20) = e20 )
& ( op2(e21,e21) = e26 )
& ( op2(e21,e22) = e24 )
& ( op2(e21,e23) = e21 )
& ( op2(e21,e24) = e25 )
& ( op2(e21,e25) = e22 )
& ( op2(e21,e26) = e23 )
& ( op2(e22,e20) = e21 )
& ( op2(e22,e21) = e24 )
& ( op2(e22,e22) = e23 )
& ( op2(e22,e23) = e26 )
& ( op2(e22,e24) = e20 )
& ( op2(e22,e25) = e25 )
& ( op2(e22,e26) = e22 )
& ( op2(e23,e20) = e25 )
& ( op2(e23,e21) = e21 )
& ( op2(e23,e22) = e26 )
& ( op2(e23,e23) = e20 )
& ( op2(e23,e24) = e22 )
& ( op2(e23,e25) = e23 )
& ( op2(e23,e26) = e24 )
& ( op2(e24,e20) = e23 )
& ( op2(e24,e21) = e25 )
& ( op2(e24,e22) = e20 )
& ( op2(e24,e23) = e22 )
& ( op2(e24,e24) = e24 )
& ( op2(e24,e25) = e26 )
& ( op2(e24,e26) = e21 )
& ( op2(e25,e20) = e24 )
& ( op2(e25,e21) = e22 )
& ( op2(e25,e22) = e25 )
& ( op2(e25,e23) = e23 )
& ( op2(e25,e24) = e26 )
& ( op2(e25,e25) = e21 )
& ( op2(e25,e26) = e20 )
& ( op2(e26,e20) = e26 )
& ( op2(e26,e21) = e23 )
& ( op2(e26,e22) = e22 )
& ( op2(e26,e23) = e24 )
& ( op2(e26,e24) = e21 )
& ( op2(e26,e25) = e20 )
& ( op2(e26,e26) = e25 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(c_12,plain,
e14 != e13,
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_18,plain,
e14 != e12,
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_216,plain,
op1(e14,e14) = e12,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_16,plain,
e15 != e12,
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_24,plain,
e15 != e11,
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_200,plain,
op1(e15,e15) = e11,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_22,plain,
e16 != e11,
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_32,plain,
e16 != e10,
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_184,plain,
op1(e16,e16) = e10,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_38,plain,
e13 != e10,
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_608,plain,
( ( j(e24) = e16 )
| ( j(e24) = e15 )
| ( j(e24) = e14 )
| ( j(e24) = e13 )
| ( j(e24) = e12 )
| ( j(e24) = e11 )
| ( j(e24) = e10 ) ),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_3555,plain,
j(e24) = e10,
inference(splitLeft,[status(thm)],[c_608]) ).
tff(c_314,plain,
op2(e24,e24) = e24,
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_398,plain,
h(j(e24)) = e24,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_3556,plain,
h(e10) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_3555,c_398]) ).
tff(c_280,plain,
op1(e10,e10) = e13,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_602,plain,
op2(h(e10),h(e10)) = h(op1(e10,e10)),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_680,plain,
op2(h(e10),h(e10)) = h(e13),
inference(demodulation,[status(thm),theory(equality)],[c_280,c_602]) ).
tff(c_4700,plain,
h(e13) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_314,c_3556,c_3556,c_680]) ).
tff(c_386,plain,
j(h(e13)) = e13,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_4706,plain,
j(e24) = e13,
inference(demodulation,[status(thm),theory(equality)],[c_4700,c_386]) ).
tff(c_4707,plain,
e13 = e10,
inference(demodulation,[status(thm),theory(equality)],[c_3555,c_4706]) ).
tff(c_4709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38,c_4707]) ).
tff(c_4710,plain,
( ( j(e24) = e11 )
| ( j(e24) = e12 )
| ( j(e24) = e13 )
| ( j(e24) = e14 )
| ( j(e24) = e15 )
| ( j(e24) = e16 ) ),
inference(splitRight,[status(thm)],[c_608]) ).
tff(c_11386,plain,
j(e24) = e16,
inference(splitLeft,[status(thm)],[c_4710]) ).
tff(c_440,plain,
op1(j(e24),j(e24)) = j(op2(e24,e24)),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_663,plain,
op1(j(e24),j(e24)) = j(e24),
inference(demodulation,[status(thm),theory(equality)],[c_314,c_440]) ).
tff(c_11403,plain,
op1(e16,e16) = e16,
inference(demodulation,[status(thm),theory(equality)],[c_11386,c_11386,c_11386,c_663]) ).
tff(c_11408,plain,
e16 = e10,
inference(demodulation,[status(thm),theory(equality)],[c_184,c_11403]) ).
tff(c_11410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_11408]) ).
tff(c_11411,plain,
( ( j(e24) = e15 )
| ( j(e24) = e14 )
| ( j(e24) = e13 )
| ( j(e24) = e12 )
| ( j(e24) = e11 ) ),
inference(splitRight,[status(thm)],[c_4710]) ).
tff(c_11413,plain,
j(e24) = e11,
inference(splitLeft,[status(thm)],[c_11411]) ).
tff(c_11435,plain,
h(e11) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_11413,c_398]) ).
tff(c_264,plain,
op1(e11,e11) = e16,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_586,plain,
op2(h(e11),h(e11)) = h(op1(e11,e11)),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_688,plain,
op2(h(e11),h(e11)) = h(e16),
inference(demodulation,[status(thm),theory(equality)],[c_264,c_586]) ).
tff(c_11448,plain,
op2(e24,e24) = h(e16),
inference(demodulation,[status(thm),theory(equality)],[c_11435,c_11435,c_688]) ).
tff(c_11460,plain,
h(e16) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_314,c_11448]) ).
tff(c_380,plain,
j(h(e16)) = e16,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_11480,plain,
j(e24) = e16,
inference(demodulation,[status(thm),theory(equality)],[c_11460,c_380]) ).
tff(c_11482,plain,
e16 = e11,
inference(demodulation,[status(thm),theory(equality)],[c_11413,c_11480]) ).
tff(c_11484,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_11482]) ).
tff(c_11485,plain,
( ( j(e24) = e12 )
| ( j(e24) = e13 )
| ( j(e24) = e14 )
| ( j(e24) = e15 ) ),
inference(splitRight,[status(thm)],[c_11411]) ).
tff(c_11487,plain,
j(e24) = e15,
inference(splitLeft,[status(thm)],[c_11485]) ).
tff(c_11506,plain,
op1(e15,e15) = e15,
inference(demodulation,[status(thm),theory(equality)],[c_11487,c_11487,c_11487,c_663]) ).
tff(c_11511,plain,
e15 = e11,
inference(demodulation,[status(thm),theory(equality)],[c_200,c_11506]) ).
tff(c_11513,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24,c_11511]) ).
tff(c_11514,plain,
( ( j(e24) = e14 )
| ( j(e24) = e13 )
| ( j(e24) = e12 ) ),
inference(splitRight,[status(thm)],[c_11485]) ).
tff(c_11516,plain,
j(e24) = e12,
inference(splitLeft,[status(thm)],[c_11514]) ).
tff(c_11540,plain,
h(e12) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_11516,c_398]) ).
tff(c_248,plain,
op1(e12,e12) = e15,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_570,plain,
op2(h(e12),h(e12)) = h(op1(e12,e12)),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_696,plain,
op2(h(e12),h(e12)) = h(e15),
inference(demodulation,[status(thm),theory(equality)],[c_248,c_570]) ).
tff(c_11552,plain,
op2(e24,e24) = h(e15),
inference(demodulation,[status(thm),theory(equality)],[c_11540,c_11540,c_696]) ).
tff(c_11565,plain,
h(e15) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_314,c_11552]) ).
tff(c_382,plain,
j(h(e15)) = e15,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_11585,plain,
j(e24) = e15,
inference(demodulation,[status(thm),theory(equality)],[c_11565,c_382]) ).
tff(c_11587,plain,
e15 = e12,
inference(demodulation,[status(thm),theory(equality)],[c_11516,c_11585]) ).
tff(c_11589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_11587]) ).
tff(c_11590,plain,
( ( j(e24) = e13 )
| ( j(e24) = e14 ) ),
inference(splitRight,[status(thm)],[c_11514]) ).
tff(c_11638,plain,
j(e24) = e14,
inference(splitLeft,[status(thm)],[c_11590]) ).
tff(c_11659,plain,
op1(e14,e14) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_11638,c_11638,c_11638,c_663]) ).
tff(c_11664,plain,
e14 = e12,
inference(demodulation,[status(thm),theory(equality)],[c_216,c_11659]) ).
tff(c_11666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_11664]) ).
tff(c_11667,plain,
j(e24) = e13,
inference(splitRight,[status(thm)],[c_11590]) ).
tff(c_11693,plain,
h(e13) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_11667,c_398]) ).
tff(c_232,plain,
op1(e13,e13) = e14,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_554,plain,
op2(h(e13),h(e13)) = h(op1(e13,e13)),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_704,plain,
op2(h(e13),h(e13)) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_232,c_554]) ).
tff(c_11713,plain,
op2(e24,e24) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_11693,c_11693,c_704]) ).
tff(c_11719,plain,
h(e14) = e24,
inference(demodulation,[status(thm),theory(equality)],[c_314,c_11713]) ).
tff(c_384,plain,
j(h(e14)) = e14,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_11739,plain,
j(e24) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_11719,c_384]) ).
tff(c_11741,plain,
e14 = e13,
inference(demodulation,[status(thm),theory(equality)],[c_11667,c_11739]) ).
tff(c_11743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_11741]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ALG205+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 20:25:51 EDT 2023
% 0.15/0.37 % CPUTime :
% 17.95/7.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.95/7.12
% 17.95/7.12 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 18.10/7.17
% 18.10/7.17 Inference rules
% 18.10/7.17 ----------------------
% 18.10/7.17 #Ref : 0
% 18.10/7.17 #Sup : 4034
% 18.10/7.17 #Fact : 0
% 18.10/7.17 #Define : 0
% 18.10/7.17 #Split : 172
% 18.10/7.17 #Chain : 0
% 18.10/7.17 #Close : 0
% 18.10/7.17
% 18.10/7.17 Ordering : KBO
% 18.10/7.17
% 18.10/7.17 Simplification rules
% 18.10/7.17 ----------------------
% 18.10/7.17 #Subsume : 164
% 18.10/7.17 #Demod : 2651
% 18.10/7.17 #Tautology : 4189
% 18.10/7.17 #SimpNegUnit : 192
% 18.10/7.17 #BackRed : 1300
% 18.10/7.17
% 18.10/7.17 #Partial instantiations: 0
% 18.10/7.17 #Strategies tried : 1
% 18.10/7.17
% 18.10/7.17 Timing (in seconds)
% 18.10/7.17 ----------------------
% 18.10/7.17 Preprocessing : 0.82
% 18.10/7.17 Parsing : 0.41
% 18.10/7.17 CNF conversion : 0.05
% 18.10/7.17 Main loop : 5.18
% 18.10/7.17 Inferencing : 1.35
% 18.10/7.17 Reduction : 2.19
% 18.10/7.17 Demodulation : 1.49
% 18.10/7.17 BG Simplification : 0.08
% 18.10/7.17 Subsumption : 1.08
% 18.10/7.17 Abstraction : 0.06
% 18.10/7.17 MUC search : 0.00
% 18.10/7.17 Cooper : 0.00
% 18.10/7.17 Total : 6.06
% 18.10/7.17 Index Insertion : 0.00
% 18.10/7.17 Index Deletion : 0.00
% 18.10/7.17 Index Matching : 0.00
% 18.10/7.17 BG Taut test : 0.00
%------------------------------------------------------------------------------