%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO524+1 : TPTP v9.0.0. Released v7.0.0.
% 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 : n021.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 06:14:54 PM UTC 2025
% Result : Theorem 8.79s 3.00s
% Output : CNFRefutation 8.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-8 aty)
% Number of functors : 40 ( 40 usr; 13 con; 0-6 aty)
% Number of variables : 14 ( 14 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ s_ifs > s_fs > s_afs > s_kf > s_e3 > perpAt > samesideline > s_e > perp > opposite > le > sameside > s_t > s_r > s_m > s_col > crossbar > op > midpointAux > ip > insert5 > g813 > g811 > f813 > f811 > ss3 > ss2 > ss1 > insert > ins > il > ext > reflect > isomidpoint > foot > erectAux21a > erectAux > erect21a > erect > c63 > s > pointOffLine > midpoint > #nlpp > xq > xp > xd > xc > xb > xa > gamma > beta > alpha > #skF_2 > #skF_3 > #skF_1 > #skF_4
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(s_ifs,type,
s_ifs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(gamma,type,
gamma: $i ).
tff(xq,type,
xq: $i ).
tff(s_t,type,
s_t: ( $i * $i * $i ) > $o ).
tff(ss3,type,
ss3: ( $i * $i * $i * $i ) > $i ).
tff(sameside,type,
sameside: ( $i * $i * $i ) > $o ).
tff(isomidpoint,type,
isomidpoint: ( $i * $i * $i ) > $i ).
tff(s_e3,type,
s_e3: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(xa,type,
xa: $i ).
tff(s_afs,type,
s_afs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(xd,type,
xd: $i ).
tff(crossbar,type,
crossbar: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(insert,type,
insert: ( $i * $i * $i * $i ) > $i ).
tff(f813,type,
f813: ( $i * $i * $i * $i * $i ) > $i ).
tff(perp,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff(s_r,type,
s_r: ( $i * $i * $i ) > $o ).
tff(perpAt,type,
perpAt: ( $i * $i * $i * $i * $i ) > $o ).
tff(erect21a,type,
erect21a: ( $i * $i * $i ) > $i ).
tff(c63,type,
c63: ( $i * $i * $i ) > $i ).
tff(xc,type,
xc: $i ).
tff(foot,type,
foot: ( $i * $i * $i ) > $i ).
tff(op,type,
op: ( $i * $i * $i * $i * $i ) > $i ).
tff(erectAux21a,type,
erectAux21a: ( $i * $i * $i ) > $i ).
tff(ss2,type,
ss2: ( $i * $i * $i * $i ) > $i ).
tff(insert5,type,
insert5: ( $i * $i * $i * $i * $i ) > $i ).
tff(alpha,type,
alpha: $i ).
tff(g811,type,
g811: ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff(pointOffLine,type,
pointOffLine: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(reflect,type,
reflect: ( $i * $i * $i ) > $i ).
tff(ins,type,
ins: ( $i * $i * $i * $i ) > $i ).
tff(s_m,type,
s_m: ( $i * $i * $i ) > $o ).
tff(s_kf,type,
s_kf: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(samesideline,type,
samesideline: ( $i * $i * $i * $i ) > $o ).
tff(xb,type,
xb: $i ).
tff(erect,type,
erect: ( $i * $i * $i ) > $i ).
tff(ss1,type,
ss1: ( $i * $i * $i * $i ) > $i ).
tff(s,type,
s: ( $i * $i ) > $i ).
tff(il,type,
il: ( $i * $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(ip,type,
ip: ( $i * $i * $i * $i * $i ) > $i ).
tff(ext,type,
ext: ( $i * $i * $i * $i ) > $i ).
tff(g813,type,
g813: ( $i * $i * $i * $i * $i ) > $i ).
tff(midpointAux,type,
midpointAux: ( $i * $i * $i * $i * $i ) > $i ).
tff(s_fs,type,
s_fs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(xp,type,
xp: $i ).
tff(le,type,
le: ( $i * $i * $i * $i ) > $o ).
tff(f811,type,
f811: ( $i * $i * $i * $i * $i ) > $i ).
tff(s_col,type,
s_col: ( $i * $i * $i ) > $o ).
tff(midpoint,type,
midpoint: ( $i * $i ) > $i ).
tff(beta,type,
beta: $i ).
tff(erectAux,type,
erectAux: ( $i * $i * $i ) > $i ).
tff(opposite,type,
opposite: ( $i * $i * $i * $i ) > $o ).
tff(s_e,type,
s_e: ( $i * $i * $i * $i ) > $o ).
tff(f_1941,negated_conjecture,
~ ! [Xa,Xb,Xp,Xq] :
( ( Xa = Xb )
| ( reflect(Xa,Xb,Xp) != reflect(Xa,Xb,Xq) )
| ( Xp = Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_7) ).
tff(f_1933,axiom,
! [Xa,Xb,Xp,Xp1] :
( ( Xa = Xb )
| ( reflect(Xa,Xb,Xp) != Xp1 )
| ( Xp = reflect(Xa,Xb,Xp1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_6) ).
tff(c_444,plain,
'#skF_2' != '#skF_1',
inference(cnfTransformation,[status(thm)],[f_1941]) ).
tff(c_440,plain,
'#skF_3' != '#skF_4',
inference(cnfTransformation,[status(thm)],[f_1941]) ).
tff(c_442,plain,
reflect('#skF_1','#skF_2','#skF_3') = reflect('#skF_1','#skF_2','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_1941]) ).
tff(c_2364,plain,
! [Xa_1128,Xb_1129,Xp_1130] :
( ( reflect(Xa_1128,Xb_1129,reflect(Xa_1128,Xb_1129,Xp_1130)) = Xp_1130 )
| ( Xb_1129 = Xa_1128 ) ),
inference(cnfTransformation,[status(thm)],[f_1933]) ).
tff(c_2379,plain,
( ( reflect('#skF_1','#skF_2',reflect('#skF_1','#skF_2','#skF_4')) = '#skF_3' )
| ( '#skF_2' = '#skF_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_442,c_2364]) ).
tff(c_2384,plain,
reflect('#skF_1','#skF_2',reflect('#skF_1','#skF_2','#skF_4')) = '#skF_3',
inference(negUnitSimplification,[status(thm)],[c_444,c_2379]) ).
tff(c_438,plain,
! [Xa_773,Xb_774,Xp_775] :
( ( reflect(Xa_773,Xb_774,reflect(Xa_773,Xb_774,Xp_775)) = Xp_775 )
| ( Xb_774 = Xa_773 ) ),
inference(cnfTransformation,[status(thm)],[f_1933]) ).
tff(c_2432,plain,
( ( '#skF_3' = '#skF_4' )
| ( '#skF_2' = '#skF_1' ) ),
inference(superposition,[status(thm),theory(equality)],[c_2384,c_438]) ).
tff(c_2441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_444,c_440,c_2432]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO524+1 : TPTP v9.0.0. Released v7.0.0.
% 0.03/0.13 % 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
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 7 20:30:43 EDT 2025
% 0.13/0.34 % CPUTime :
% 8.79/3.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.79/3.01
% 8.79/3.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------