%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG206+1 : TPTP v9.0.0. 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 : n012.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 : Wed Apr 9 05:24:45 PM UTC 2025
% Result : Theorem 18.93s 6.95s
% Output : CNFRefutation 18.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 124 ( 106 unt; 0 typ; 0 def)
% Number of atoms : 517 ( 503 equ)
% Maximal formula atoms : 210 ( 4 avg)
% Number of connectives : 445 ( 52 ~; 132 |; 260 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 115 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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_149,axiom,
( ( e20 != e21 )
& ( e20 != e22 )
& ( e20 != e23 )
& ( e20 != e24 )
& ( e20 != e25 )
& ( e20 != e26 )
& ( e21 != e22 )
& ( e21 != e23 )
& ( e21 != e24 )
& ( e21 != e25 )
& ( e21 != e26 )
& ( e22 != e23 )
& ( e22 != e24 )
& ( e22 != e25 )
& ( e22 != e26 )
& ( e23 != e24 )
& ( e23 != e25 )
& ( e23 != e26 )
& ( e24 != e25 )
& ( e24 != e26 )
& ( e25 != e26 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
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(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_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_392,axiom,
( ( op1(e10,e10) = e10 )
& ( op1(e10,e11) = e13 )
& ( op1(e10,e12) = e11 )
& ( op1(e10,e13) = e12 )
& ( op1(e10,e14) = e16 )
& ( op1(e10,e15) = e14 )
& ( op1(e10,e16) = e15 )
& ( op1(e11,e10) = e13 )
& ( op1(e11,e11) = e11 )
& ( op1(e11,e12) = e16 )
& ( op1(e11,e13) = e15 )
& ( op1(e11,e14) = e12 )
& ( op1(e11,e15) = e10 )
& ( op1(e11,e16) = e14 )
& ( op1(e12,e10) = e11 )
& ( op1(e12,e11) = e16 )
& ( op1(e12,e12) = e12 )
& ( op1(e12,e13) = e14 )
& ( op1(e12,e14) = e15 )
& ( op1(e12,e15) = e13 )
& ( op1(e12,e16) = e10 )
& ( op1(e13,e10) = e12 )
& ( op1(e13,e11) = e15 )
& ( op1(e13,e12) = e14 )
& ( op1(e13,e13) = e13 )
& ( op1(e13,e14) = e10 )
& ( op1(e13,e15) = e16 )
& ( op1(e13,e16) = e11 )
& ( op1(e14,e10) = e16 )
& ( op1(e14,e11) = e12 )
& ( op1(e14,e12) = e15 )
& ( op1(e14,e13) = e10 )
& ( op1(e14,e14) = e14 )
& ( op1(e14,e15) = e11 )
& ( op1(e14,e16) = e13 )
& ( op1(e15,e10) = e14 )
& ( op1(e15,e11) = e10 )
& ( op1(e15,e12) = e13 )
& ( op1(e15,e13) = e16 )
& ( op1(e15,e14) = e11 )
& ( op1(e15,e15) = e15 )
& ( op1(e15,e16) = e12 )
& ( op1(e16,e10) = e15 )
& ( op1(e16,e11) = e14 )
& ( op1(e16,e12) = e10 )
& ( op1(e16,e13) = e11 )
& ( op1(e16,e14) = e13 )
& ( op1(e16,e15) = e12 )
& ( op1(e16,e16) = e16 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(c_80,plain,
e23 != e20,
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_330,plain,
op2(e23,e23) = e20,
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_30,plain,
e12 != e11,
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_82,plain,
e22 != e20,
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_378,plain,
op2(e20,e20) = e22,
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_618,plain,
( ( h(e16) = e26 )
| ( h(e16) = e25 )
| ( h(e16) = e24 )
| ( h(e16) = e23 )
| ( h(e16) = e22 )
| ( h(e16) = e21 )
| ( h(e16) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_9321,plain,
h(e16) = e20,
inference(splitLeft,[status(thm)],[c_618]) ).
tff(c_184,plain,
op1(e16,e16) = e16,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_506,plain,
op2(h(e16),h(e16)) = h(op1(e16,e16)),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_728,plain,
op2(h(e16),h(e16)) = h(e16),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_506]) ).
tff(c_9673,plain,
e22 = e20,
inference(demodulation,[status(thm),theory(equality)],[c_378,c_9321,c_9321,c_9321,c_728]) ).
tff(c_9674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_9673]) ).
tff(c_9676,plain,
h(e16) != e20,
inference(splitRight,[status(thm)],[c_618]) ).
tff(c_342,plain,
op2(e22,e24) = e20,
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_66,plain,
e25 != e21,
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_298,plain,
op2(e25,e25) = e21,
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_64,plain,
e26 != e21,
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_44,plain,
e26 != e25,
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_282,plain,
op2(e26,e26) = e25,
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_628,plain,
( ( h(e11) = e26 )
| ( h(e11) = e25 )
| ( h(e11) = e24 )
| ( h(e11) = e23 )
| ( h(e11) = e22 )
| ( h(e11) = e21 )
| ( h(e11) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_1895,plain,
h(e11) = e20,
inference(splitLeft,[status(thm)],[c_628]) ).
tff(c_264,plain,
op1(e11,e11) = e11,
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(e11),
inference(demodulation,[status(thm),theory(equality)],[c_264,c_586]) ).
tff(c_2587,plain,
e22 = e20,
inference(demodulation,[status(thm),theory(equality)],[c_378,c_1895,c_1895,c_1895,c_688]) ).
tff(c_2588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_2587]) ).
tff(c_2589,plain,
( ( h(e11) = e21 )
| ( h(e11) = e22 )
| ( h(e11) = e23 )
| ( h(e11) = e24 )
| ( h(e11) = e25 )
| ( h(e11) = e26 ) ),
inference(splitRight,[status(thm)],[c_628]) ).
tff(c_11267,plain,
h(e11) = e26,
inference(splitLeft,[status(thm)],[c_2589]) ).
tff(c_11276,plain,
op2(e26,e26) = e26,
inference(demodulation,[status(thm),theory(equality)],[c_11267,c_11267,c_11267,c_688]) ).
tff(c_11289,plain,
e26 = e25,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_11276]) ).
tff(c_11291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_11289]) ).
tff(c_11292,plain,
( ( h(e11) = e25 )
| ( h(e11) = e24 )
| ( h(e11) = e23 )
| ( h(e11) = e22 )
| ( h(e11) = e21 ) ),
inference(splitRight,[status(thm)],[c_2589]) ).
tff(c_11804,plain,
h(e11) = e21,
inference(splitLeft,[status(thm)],[c_11292]) ).
tff(c_390,plain,
j(h(e11)) = e11,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_11826,plain,
j(e21) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_11804,c_390]) ).
tff(c_362,plain,
op2(e21,e21) = e26,
inference(cnfTransformation,[status(thm)],[f_489]) ).
tff(c_488,plain,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_639,plain,
op1(j(e21),j(e21)) = j(e26),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_488]) ).
tff(c_11840,plain,
op1(e11,e11) = j(e26),
inference(demodulation,[status(thm),theory(equality)],[c_11826,c_11826,c_639]) ).
tff(c_11856,plain,
j(e26) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_264,c_11840]) ).
tff(c_394,plain,
h(j(e26)) = e26,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_11877,plain,
h(e11) = e26,
inference(demodulation,[status(thm),theory(equality)],[c_11856,c_394]) ).
tff(c_11879,plain,
e26 = e21,
inference(demodulation,[status(thm),theory(equality)],[c_11804,c_11877]) ).
tff(c_11881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_11879]) ).
tff(c_11882,plain,
( ( h(e11) = e22 )
| ( h(e11) = e23 )
| ( h(e11) = e24 )
| ( h(e11) = e25 ) ),
inference(splitRight,[status(thm)],[c_11292]) ).
tff(c_11884,plain,
h(e11) = e25,
inference(splitLeft,[status(thm)],[c_11882]) ).
tff(c_11899,plain,
op2(e25,e25) = e25,
inference(demodulation,[status(thm),theory(equality)],[c_11884,c_11884,c_11884,c_688]) ).
tff(c_11911,plain,
e25 = e21,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_11899]) ).
tff(c_11913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_11911]) ).
tff(c_11914,plain,
( ( h(e11) = e24 )
| ( h(e11) = e23 )
| ( h(e11) = e22 ) ),
inference(splitRight,[status(thm)],[c_11882]) ).
tff(c_11916,plain,
h(e11) = e22,
inference(splitLeft,[status(thm)],[c_11914]) ).
tff(c_62,plain,
e23 != e22,
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_626,plain,
( ( h(e12) = e26 )
| ( h(e12) = e25 )
| ( h(e12) = e24 )
| ( h(e12) = e23 )
| ( h(e12) = e22 )
| ( h(e12) = e21 )
| ( h(e12) = e20 ) ),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_961,plain,
h(e12) = e20,
inference(splitLeft,[status(thm)],[c_626]) ).
tff(c_248,plain,
op1(e12,e12) = e12,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_388,plain,
j(h(e12)) = e12,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_962,plain,
j(e20) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_961,c_388]) ).
tff(c_504,plain,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_631,plain,
op1(j(e20),j(e20)) = j(e22),
inference(demodulation,[status(thm),theory(equality)],[c_378,c_504]) ).
tff(c_1870,plain,
j(e22) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_248,c_962,c_962,c_631]) ).
tff(c_402,plain,
h(j(e22)) = e22,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_1875,plain,
h(e12) = e22,
inference(demodulation,[status(thm),theory(equality)],[c_1870,c_402]) ).
tff(c_1878,plain,
e22 = e20,
inference(demodulation,[status(thm),theory(equality)],[c_961,c_1875]) ).
tff(c_1880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82,c_1878]) ).
tff(c_1881,plain,
( ( h(e12) = e21 )
| ( h(e12) = e22 )
| ( h(e12) = e23 )
| ( h(e12) = e24 )
| ( h(e12) = e25 )
| ( h(e12) = e26 ) ),
inference(splitRight,[status(thm)],[c_626]) ).
tff(c_11136,plain,
h(e12) = e26,
inference(splitLeft,[status(thm)],[c_1881]) ).
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(e12),
inference(demodulation,[status(thm),theory(equality)],[c_248,c_570]) ).
tff(c_11148,plain,
op2(e26,e26) = e26,
inference(demodulation,[status(thm),theory(equality)],[c_11136,c_11136,c_11136,c_696]) ).
tff(c_11159,plain,
e26 = e25,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_11148]) ).
tff(c_11161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_11159]) ).
tff(c_11162,plain,
( ( h(e12) = e25 )
| ( h(e12) = e24 )
| ( h(e12) = e23 )
| ( h(e12) = e22 )
| ( h(e12) = e21 ) ),
inference(splitRight,[status(thm)],[c_1881]) ).
tff(c_11164,plain,
h(e12) = e21,
inference(splitLeft,[status(thm)],[c_11162]) ).
tff(c_11186,plain,
j(e21) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_11164,c_388]) ).
tff(c_11192,plain,
op1(e12,e12) = j(e26),
inference(demodulation,[status(thm),theory(equality)],[c_11186,c_11186,c_639]) ).
tff(c_11211,plain,
j(e26) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_248,c_11192]) ).
tff(c_11231,plain,
h(e12) = e26,
inference(demodulation,[status(thm),theory(equality)],[c_11211,c_394]) ).
tff(c_11233,plain,
e26 = e21,
inference(demodulation,[status(thm),theory(equality)],[c_11164,c_11231]) ).
tff(c_11235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64,c_11233]) ).
tff(c_11236,plain,
( ( h(e12) = e22 )
| ( h(e12) = e23 )
| ( h(e12) = e24 )
| ( h(e12) = e25 ) ),
inference(splitRight,[status(thm)],[c_11162]) ).
tff(c_11238,plain,
h(e12) = e25,
inference(splitLeft,[status(thm)],[c_11236]) ).
tff(c_11251,plain,
op2(e25,e25) = e25,
inference(demodulation,[status(thm),theory(equality)],[c_11238,c_11238,c_11238,c_696]) ).
tff(c_11262,plain,
e25 = e21,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_11251]) ).
tff(c_11264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66,c_11262]) ).
tff(c_11265,plain,
( ( h(e12) = e24 )
| ( h(e12) = e23 )
| ( h(e12) = e22 ) ),
inference(splitRight,[status(thm)],[c_11236]) ).
tff(c_11294,plain,
h(e12) = e22,
inference(splitLeft,[status(thm)],[c_11265]) ).
tff(c_11318,plain,
j(e22) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_11294,c_388]) ).
tff(c_346,plain,
op2(e22,e22) = e23,
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(e23),
inference(demodulation,[status(thm),theory(equality)],[c_346,c_472]) ).
tff(c_11337,plain,
op1(e12,e12) = j(e23),
inference(demodulation,[status(thm),theory(equality)],[c_11318,c_11318,c_647]) ).
tff(c_11343,plain,
j(e23) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_248,c_11337]) ).
tff(c_400,plain,
h(j(e23)) = e23,
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_11363,plain,
h(e12) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_11343,c_400]) ).
tff(c_11365,plain,
e23 = e22,
inference(demodulation,[status(thm),theory(equality)],[c_11294,c_11363]) ).
tff(c_11367,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62,c_11365]) ).
tff(c_11368,plain,
( ( h(e12) = e23 )
| ( h(e12) = e24 ) ),
inference(splitRight,[status(thm)],[c_11265]) ).
tff(c_11460,plain,
h(e12) = e24,
inference(splitLeft,[status(thm)],[c_11368]) ).
tff(c_262,plain,
op1(e11,e12) = e16,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_584,plain,
op2(h(e11),h(e12)) = h(op1(e11,e12)),
inference(cnfTransformation,[status(thm)],[f_910]) ).
tff(c_689,plain,
op2(h(e11),h(e12)) = h(e16),
inference(demodulation,[status(thm),theory(equality)],[c_262,c_584]) ).
tff(c_11480,plain,
op2(h(e11),e24) = h(e16),
inference(demodulation,[status(thm),theory(equality)],[c_11460,c_689]) ).
tff(c_11920,plain,
op2(e22,e24) = h(e16),
inference(demodulation,[status(thm),theory(equality)],[c_11916,c_11480]) ).
tff(c_11941,plain,
h(e16) = e20,
inference(demodulation,[status(thm),theory(equality)],[c_342,c_11920]) ).
tff(c_11943,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9676,c_11941]) ).
tff(c_11944,plain,
( ( h(e11) = e23 )
| ( h(e11) = e24 ) ),
inference(splitRight,[status(thm)],[c_11914]) ).
tff(c_11946,plain,
h(e11) = e24,
inference(splitLeft,[status(thm)],[c_11944]) ).
tff(c_11971,plain,
j(e24) = e11,
inference(demodulation,[status(thm),theory(equality)],[c_11946,c_390]) ).
tff(c_11485,plain,
j(e24) = e12,
inference(demodulation,[status(thm),theory(equality)],[c_11460,c_388]) ).
tff(c_11983,plain,
e12 = e11,
inference(demodulation,[status(thm),theory(equality)],[c_11971,c_11485]) ).
tff(c_11985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30,c_11983]) ).
tff(c_11986,plain,
h(e11) = e23,
inference(splitRight,[status(thm)],[c_11944]) ).
tff(c_12003,plain,
op2(e23,e23) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_11986,c_11986,c_11986,c_688]) ).
tff(c_12015,plain,
e23 = e20,
inference(demodulation,[status(thm),theory(equality)],[c_330,c_12003]) ).
tff(c_12017,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_12015]) ).
tff(c_12018,plain,
h(e12) = e23,
inference(splitRight,[status(thm)],[c_11368]) ).
tff(c_12035,plain,
op2(e23,e23) = e23,
inference(demodulation,[status(thm),theory(equality)],[c_12018,c_12018,c_12018,c_696]) ).
tff(c_12046,plain,
e23 = e20,
inference(demodulation,[status(thm),theory(equality)],[c_330,c_12035]) ).
tff(c_12048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80,c_12046]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG206+1 : TPTP v9.0.0. Released v2.7.0.
% 0.11/0.13 % 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
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Apr 6 07:09:46 EDT 2025
% 0.12/0.34 % CPUTime :
% 18.93/6.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.93/6.96
% 18.93/6.96 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------