TSTP Solution File: ALG204+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG204+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 : n032.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 13.73s 5.11s
% Output : CNFRefutation 14.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 91 ( 63 unt; 18 typ; 0 def)
% Number of atoms : 419 ( 412 equ)
% Maximal formula atoms : 210 ( 5 avg)
% Number of connectives : 376 ( 30 ~; 105 |; 240 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 115 ( 5 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) = e20 )
& ( op2(e20,e21) = e23 )
& ( op2(e20,e22) = e21 )
& ( op2(e20,e23) = e22 )
& ( op2(e20,e24) = e26 )
& ( op2(e20,e25) = e24 )
& ( op2(e20,e26) = e25 )
& ( op2(e21,e20) = e23 )
& ( op2(e21,e21) = e21 )
& ( op2(e21,e22) = e26 )
& ( op2(e21,e23) = e25 )
& ( op2(e21,e24) = e22 )
& ( op2(e21,e25) = e20 )
& ( op2(e21,e26) = e24 )
& ( op2(e22,e20) = e21 )
& ( op2(e22,e21) = e26 )
& ( op2(e22,e22) = e22 )
& ( op2(e22,e23) = e24 )
& ( op2(e22,e24) = e25 )
& ( op2(e22,e25) = e23 )
& ( op2(e22,e26) = e20 )
& ( op2(e23,e20) = e22 )
& ( op2(e23,e21) = e25 )
& ( op2(e23,e22) = e24 )
& ( op2(e23,e23) = e23 )
& ( op2(e23,e24) = e20 )
& ( op2(e23,e25) = e26 )
& ( op2(e23,e26) = e21 )
& ( op2(e24,e20) = e26 )
& ( op2(e24,e21) = e22 )
& ( op2(e24,e22) = e25 )
& ( op2(e24,e23) = e20 )
& ( op2(e24,e24) = e24 )
& ( op2(e24,e25) = e21 )
& ( op2(e24,e26) = e23 )
& ( op2(e25,e20) = e24 )
& ( op2(e25,e21) = e20 )
& ( op2(e25,e22) = e23 )
& ( op2(e25,e23) = e26 )
& ( op2(e25,e24) = e21 )
& ( op2(e25,e25) = e25 )
& ( op2(e25,e26) = e22 )
& ( op2(e26,e20) = e25 )
& ( op2(e26,e21) = e24 )
& ( op2(e26,e22) = e20 )
& ( op2(e26,e23) = e21 )
& ( op2(e26,e24) = e23 )
& ( op2(e26,e25) = e22 )
& ( op2(e26,e26) = e26 ) ),
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_280,plain,
op1(e10,e10) = e13,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_612,plain,
( ( j(e22) = e16 )
| ( j(e22) = e15 )
| ( j(e22) = e14 )
| ( j(e22) = e13 )
| ( j(e22) = e12 )
| ( j(e22) = e11 )
| ( j(e22) = e10 ) ),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_5812,plain,
j(e22) = e10,
inference(splitLeft,[status(thm)],[c_612]) ).
tff(c_346,plain,
op2(e22,e22) = e22,
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_472,plain,
op1(j(e22),j(e22)) = j(op2(e22,e22)),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_647,plain,
op1(j(e22),j(e22)) = j(e22),
inference(demodulation,[status(thm),theory(equality)],[c_346,c_472]) ).
tff(c_6200,plain,
e13 = e10,
inference(demodulation,[status(thm),theory(equality)],[c_280,c_5812,c_5812,c_5812,c_647]) ).
tff(c_6201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38,c_6200]) ).
tff(c_6202,plain,
( ( j(e22) = e11 )
| ( j(e22) = e12 )
| ( j(e22) = e13 )
| ( j(e22) = e14 )
| ( j(e22) = e15 )
| ( j(e22) = e16 ) ),
inference(splitRight,[status(thm)],[c_612]) ).
tff(c_6835,plain,
j(e22) = e16,
inference(splitLeft,[status(thm)],[c_6202]) ).
tff(c_6853,plain,
op1(e16,e16) = e16,
inference(demodulation,[status(thm),theory(equality)],[c_6835,c_6835,c_6835,c_647]) ).
tff(c_6857,plain,
e16 = e10,
inference(demodulation,[status(thm),theory(equality)],[c_184,c_6853]) ).
tff(c_6859,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32,c_6857]) ).
tff(c_6860,plain,
( ( j(e22) = e15 )
| ( j(e22) = e14 )
| ( j(e22) = e13 )
| ( j(e22) = e12 )
| ( j(e22) = e11 ) ),
inference(splitRight,[status(thm)],[c_6202]) ).
tff(c_6862,plain,
j(e22) = e11,
inference(splitLeft,[status(thm)],[c_6860]) ).
tff(c_402,plain,
h(j(e22)) = e22,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_6884,plain,
h(e11) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_6862,c_402]) ).
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_6889,plain,
op2(e22,e22) = h(e16),
inference(demodulation,[status(thm),theory(equality)],[c_6884,c_6884,c_688]) ).
tff(c_6909,plain,
h(e16) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_346,c_6889]) ).
tff(c_380,plain,
j(h(e16)) = e16,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_6929,plain,
j(e22) = e16,
inference(demodulation,[status(thm),theory(equality)],[c_6909,c_380]) ).
tff(c_6931,plain,
e16 = e11,
inference(demodulation,[status(thm),theory(equality)],[c_6862,c_6929]) ).
tff(c_6933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22,c_6931]) ).
tff(c_6934,plain,
( ( j(e22) = e12 )
| ( j(e22) = e13 )
| ( j(e22) = e14 )
| ( j(e22) = e15 ) ),
inference(splitRight,[status(thm)],[c_6860]) ).
tff(c_7028,plain,
j(e22) = e15,
inference(splitLeft,[status(thm)],[c_6934]) ).
tff(c_7048,plain,
op1(e15,e15) = e15,
inference(demodulation,[status(thm),theory(equality)],[c_7028,c_7028,c_7028,c_647]) ).
tff(c_7052,plain,
e15 = e11,
inference(demodulation,[status(thm),theory(equality)],[c_200,c_7048]) ).
tff(c_7054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24,c_7052]) ).
tff(c_7055,plain,
( ( j(e22) = e14 )
| ( j(e22) = e13 )
| ( j(e22) = e12 ) ),
inference(splitRight,[status(thm)],[c_6934]) ).
tff(c_7084,plain,
j(e22) = e12,
inference(splitLeft,[status(thm)],[c_7055]) ).
tff(c_7108,plain,
h(e12) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_7084,c_402]) ).
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_7121,plain,
op2(e22,e22) = h(e15),
inference(demodulation,[status(thm),theory(equality)],[c_7108,c_7108,c_696]) ).
tff(c_7134,plain,
h(e15) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_346,c_7121]) ).
tff(c_382,plain,
j(h(e15)) = e15,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_7154,plain,
j(e22) = e15,
inference(demodulation,[status(thm),theory(equality)],[c_7134,c_382]) ).
tff(c_7156,plain,
e15 = e12,
inference(demodulation,[status(thm),theory(equality)],[c_7084,c_7154]) ).
tff(c_7158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16,c_7156]) ).
tff(c_7159,plain,
( ( j(e22) = e13 )
| ( j(e22) = e14 ) ),
inference(splitRight,[status(thm)],[c_7055]) ).
tff(c_7161,plain,
j(e22) = e14,
inference(splitLeft,[status(thm)],[c_7159]) ).
tff(c_7183,plain,
op1(e14,e14) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_7161,c_7161,c_7161,c_647]) ).
tff(c_7187,plain,
e14 = e12,
inference(demodulation,[status(thm),theory(equality)],[c_216,c_7183]) ).
tff(c_7189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18,c_7187]) ).
tff(c_7190,plain,
j(e22) = e13,
inference(splitRight,[status(thm)],[c_7159]) ).
tff(c_7217,plain,
h(e13) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_7190,c_402]) ).
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_7226,plain,
op2(e22,e22) = h(e14),
inference(demodulation,[status(thm),theory(equality)],[c_7217,c_7217,c_704]) ).
tff(c_7243,plain,
h(e14) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_346,c_7226]) ).
tff(c_384,plain,
j(h(e14)) = e14,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_7263,plain,
j(e22) = e14,
inference(demodulation,[status(thm),theory(equality)],[c_7243,c_384]) ).
tff(c_7265,plain,
e14 = e13,
inference(demodulation,[status(thm),theory(equality)],[c_7190,c_7263]) ).
tff(c_7267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_7265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG204+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.11 % 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
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu Aug 3 20:31:36 EDT 2023
% 0.09/0.31 % CPUTime :
% 13.73/5.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.73/5.12
% 13.73/5.12 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.03/5.16
% 14.03/5.16 Inference rules
% 14.03/5.16 ----------------------
% 14.03/5.16 #Ref : 0
% 14.03/5.16 #Sup : 2516
% 14.03/5.16 #Fact : 0
% 14.03/5.16 #Define : 0
% 14.03/5.16 #Split : 113
% 14.03/5.16 #Chain : 0
% 14.03/5.16 #Close : 0
% 14.03/5.16
% 14.03/5.16 Ordering : KBO
% 14.03/5.16
% 14.03/5.16 Simplification rules
% 14.03/5.16 ----------------------
% 14.03/5.16 #Subsume : 59
% 14.03/5.16 #Demod : 1317
% 14.03/5.16 #Tautology : 2575
% 14.03/5.16 #SimpNegUnit : 118
% 14.03/5.16 #BackRed : 629
% 14.03/5.16
% 14.03/5.16 #Partial instantiations: 0
% 14.03/5.16 #Strategies tried : 1
% 14.03/5.16
% 14.03/5.16 Timing (in seconds)
% 14.03/5.16 ----------------------
% 14.03/5.16 Preprocessing : 0.73
% 14.03/5.16 Parsing : 0.37
% 14.03/5.16 CNF conversion : 0.04
% 14.03/5.16 Main loop : 3.42
% 14.03/5.16 Inferencing : 0.81
% 14.03/5.16 Reduction : 1.56
% 14.03/5.16 Demodulation : 1.07
% 14.03/5.16 BG Simplification : 0.06
% 14.03/5.16 Subsumption : 0.68
% 14.03/5.16 Abstraction : 0.05
% 14.03/5.16 MUC search : 0.00
% 14.03/5.16 Cooper : 0.00
% 14.03/5.16 Total : 4.21
% 14.03/5.16 Index Insertion : 0.00
% 14.03/5.16 Index Deletion : 0.00
% 14.03/5.16 Index Matching : 0.00
% 14.03/5.16 BG Taut test : 0.00
%------------------------------------------------------------------------------