TSTP Solution File: GEO535+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO535+1 : TPTP v8.1.2. Released v7.0.0.
% 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 : n027.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 10:39:15 EDT 2023
% Result : Theorem 42.83s 25.17s
% Output : CNFRefutation 42.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 85
% Syntax : Number of formulae : 150 ( 37 unt; 66 typ; 0 def)
% Number of atoms : 187 ( 9 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 207 ( 104 ~; 93 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 227 ( 51 >; 176 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-8 aty)
% Number of functors : 49 ( 49 usr; 15 con; 0-6 aty)
% Number of variables : 183 (; 183 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ s_ifs > s_fs > s_afs > s_kf > s_e3 > congruent > perpAt > samesideline > s_e > perp > opposite > le > sameside > s_t > s_r > s_m > s_col > triangle > f113f > f113d > f113c > f113a > crossbar > constructAngle > op > midpointAux > ip > insert5 > g813 > g811 > f813 > f811 > ss3 > ss2 > ss1 > insert > ins > il > ext > erectsameside > reflect > isomidpoint > foot > erectAux21a > erectAux > erect21a > erect > c63 > s > pointOffLine > midpoint > #nlpp > xq > xp > xd > xc > xb > xa > gamma > beta > alpha > #skF_5 > #skF_6 > #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(f113d,type,
f113d: ( $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(f113c,type,
f113c: ( $i * $i * $i * $i * $i * $i ) > $i ).
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(congruent,type,
congruent: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $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_6',type,
'#skF_6': $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(erectsameside,type,
erectsameside: ( $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(f113f,type,
f113f: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(xb,type,
xb: $i ).
tff(erect,type,
erect: ( $i * $i * $i ) > $i ).
tff(ss1,type,
ss1: ( $i * $i * $i * $i ) > $i ).
tff(triangle,type,
triangle: ( $i * $i * $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(f113a,type,
f113a: ( $i * $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(constructAngle,type,
constructAngle: ( $i * $i * $i * $i * $i * $i ) > $i ).
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_68,axiom,
! [X,Y,W,V] :
( s_t(X,Y,ext(X,Y,W,V))
& s_e(Y,ext(X,Y,W,V),W,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO011+0.ax',aA4) ).
tff(f_867,axiom,
! [Xa,Xm] :
( s_m(Xa,Xm,Xa)
| ( Xm != Xa ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_3b) ).
tff(f_2355,negated_conjecture,
~ ! [Xa,Xb,Xc,Xa1,Xb1,Xc1] :
( ~ congruent(Xa,Xb,Xc,Xa1,Xb1,Xc1)
| ~ s_e(Xb,Xa,Xb1,Xa1)
| ~ s_e(Xb,Xc,Xb1,Xc1)
| s_e(Xa,Xc,Xa1,Xc1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_49a) ).
tff(f_128,axiom,
! [Xa,Xb,Xc,Xd] :
( ~ s_e(Xa,Xb,Xc,Xd)
| s_e(Xc,Xd,Xa,Xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
tff(f_146,axiom,
! [Xa,Xb,Xc,Xd] :
( ~ s_e(Xa,Xb,Xc,Xd)
| s_e(Xa,Xb,Xd,Xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_5) ).
tff(f_2559,axiom,
! [Xa,Xb,Xc,Xd,Y] :
( ( ~ le(Xa,Xb,Xc,Xd)
| s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd) )
& ( ~ le(Xa,Xb,Xc,Xd)
| s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd)) )
& ( ~ s_t(Xc,Y,Xd)
| ~ s_e(Xa,Xb,Xc,Y)
| le(Xa,Xb,Xc,Xd) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn5_4) ).
tff(f_522,axiom,
! [Xa,Xc,Xd] : le(Xa,Xa,Xc,Xd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_11) ).
tff(f_516,axiom,
! [Xa,Xb,Xc,Xd] :
( ~ le(Xa,Xb,Xc,Xd)
| ~ le(Xc,Xd,Xa,Xb)
| s_e(Xa,Xb,Xc,Xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz5_9) ).
tff(f_177,axiom,
! [Xb,Xc,Xa] :
( ~ s_e(Xb,Xc,Xa,Xa)
| ( Xb = Xc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_13) ).
tff(f_370,axiom,
! [Xa,Xb] : s_col(Xa,Xb,Xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12b) ).
tff(f_645,axiom,
! [Xa,Xp,Xb] :
( sameside(Xa,Xp,Xb)
| ~ s_col(Xa,Xp,Xb)
| s_t(Xa,Xp,Xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_4b) ).
tff(f_2299,axiom,
! [Xa,Xb,Xc,Xd,Xe,Xf] :
( ~ congruent(Xa,Xb,Xc,Xd,Xe,Xf)
| congruent(Xd,Xe,Xf,Xa,Xb,Xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_7) ).
tff(f_2120,axiom,
! [Xa,Xb,Xc,Xd,Xe,Xf] :
( ( ~ congruent(Xa,Xb,Xc,Xd,Xe,Xf)
| sameside(ext(Xb,Xa,Xe,Xd),Xb,Xa) )
& ( ~ congruent(Xa,Xb,Xc,Xd,Xe,Xf)
| sameside(ext(Xb,Xc,Xe,Xf),Xb,Xc) )
& ( ~ congruent(Xa,Xb,Xc,Xd,Xe,Xf)
| sameside(ext(Xe,Xd,Xb,Xa),Xe,Xd) )
& ( ~ congruent(Xa,Xb,Xc,Xd,Xe,Xf)
| sameside(ext(Xe,Xf,Xb,Xc),Xe,Xf) )
& ( ~ congruent(Xa,Xb,Xc,Xd,Xe,Xf)
| s_e3(ext(Xb,Xa,Xe,Xd),Xb,ext(Xb,Xc,Xe,Xf),ext(Xe,Xd,Xb,Xa),Xe,ext(Xe,Xf,Xb,Xc)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_3a) ).
tff(f_654,axiom,
! [Xa,Xp,Xb] :
( ~ sameside(Xa,Xp,Xb)
| sameside(Xb,Xp,Xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_6) ).
tff(f_662,axiom,
! [Xa,Xp,Xb,Xc] :
( ~ sameside(Xa,Xp,Xb)
| ~ sameside(Xb,Xp,Xc)
| sameside(Xa,Xp,Xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_7) ).
tff(f_2245,axiom,
! [Xa,Xb,Xc,Xd,Xe,Xf,Xa2,Xc2,Xd2,Xf2] :
( ~ congruent(Xa,Xb,Xc,Xd,Xe,Xf)
| ~ sameside(Xa2,Xb,Xa)
| ~ sameside(Xc2,Xb,Xc)
| ~ sameside(Xd2,Xe,Xd)
| ~ sameside(Xf2,Xe,Xf)
| ~ s_e(Xb,Xa2,Xe,Xd2)
| ~ s_e(Xb,Xc2,Xe,Xf2)
| s_e(Xa2,Xc2,Xd2,Xf2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_4) ).
tff(f_2614,axiom,
! [Xa,Xm,Xb] :
( ( ~ s_m(Xa,Xm,Xb)
| s_t(Xa,Xm,Xb) )
& ( ~ s_m(Xa,Xm,Xb)
| s_e(Xm,Xa,Xm,Xb) )
& ( ~ s_t(Xa,Xm,Xb)
| ~ s_e(Xm,Xa,Xm,Xb)
| s_m(Xa,Xm,Xb) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn7_1) ).
tff(f_203,axiom,
! [Xa,Xb,Xc] :
( ~ s_t(Xa,Xb,Xc)
| s_t(Xc,Xb,Xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_2) ).
tff(f_638,axiom,
! [Xa,Xp,Xb] :
( ( ~ sameside(Xa,Xp,Xb)
| s_col(Xa,Xp,Xb) )
& ( ~ sameside(Xa,Xp,Xb)
| ~ s_t(Xa,Xp,Xb) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_4a) ).
tff(c_8,plain,
! [X_12,Y_13,W_14,V_15] : s_t(X_12,Y_13,ext(X_12,Y_13,W_14,V_15)),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_218,plain,
! [Xm_358] : s_m(Xm_358,Xm_358,Xm_358),
inference(cnfTransformation,[status(thm)],[f_867]) ).
tff(c_516,plain,
s_e('#skF_2','#skF_3','#skF_5','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_2355]) ).
tff(c_2868,plain,
! [Xc_1343,Xd_1344,Xa_1345,Xb_1346] :
( s_e(Xc_1343,Xd_1344,Xa_1345,Xb_1346)
| ~ s_e(Xa_1345,Xb_1346,Xc_1343,Xd_1344) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_2945,plain,
s_e('#skF_5','#skF_6','#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_516,c_2868]) ).
tff(c_34,plain,
! [Xa_47,Xb_48,Xd_50,Xc_49] :
( s_e(Xa_47,Xb_48,Xd_50,Xc_49)
| ~ s_e(Xa_47,Xb_48,Xc_49,Xd_50) ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_2970,plain,
s_e('#skF_5','#skF_6','#skF_3','#skF_2'),
inference(resolution,[status(thm)],[c_2945,c_34]) ).
tff(c_8599,plain,
! [Xc_1951,Xa_1953,Xb_1954,Y_1950,Xd_1952] :
( le(Xa_1953,Xb_1954,Xc_1951,Xd_1952)
| ~ s_e(Xa_1953,Xb_1954,Xc_1951,Y_1950)
| ~ s_t(Xc_1951,Y_1950,Xd_1952) ),
inference(cnfTransformation,[status(thm)],[f_2559]) ).
tff(c_8832,plain,
! [Xd_1952] :
( le('#skF_5','#skF_6','#skF_3',Xd_1952)
| ~ s_t('#skF_3','#skF_2',Xd_1952) ),
inference(resolution,[status(thm)],[c_2970,c_8599]) ).
tff(c_142,plain,
! [Xa_242,Xc_243,Xd_244] : le(Xa_242,Xa_242,Xc_243,Xd_244),
inference(cnfTransformation,[status(thm)],[f_522]) ).
tff(c_13085,plain,
! [Xa_2293,Xb_2294,Xc_2295,Xd_2296] :
( s_e(Xa_2293,Xb_2294,Xc_2295,Xd_2296)
| ~ le(Xc_2295,Xd_2296,Xa_2293,Xb_2294)
| ~ le(Xa_2293,Xb_2294,Xc_2295,Xd_2296) ),
inference(cnfTransformation,[status(thm)],[f_516]) ).
tff(c_42,plain,
! [Xc_65,Xb_64,Xa_66] :
( ( Xc_65 = Xb_64 )
| ~ s_e(Xb_64,Xc_65,Xa_66,Xa_66) ),
inference(cnfTransformation,[status(thm)],[f_177]) ).
tff(c_13129,plain,
! [Xb_2294,Xa_2293,Xd_2296] :
( ( Xb_2294 = Xa_2293 )
| ~ le(Xd_2296,Xd_2296,Xa_2293,Xb_2294)
| ~ le(Xa_2293,Xb_2294,Xd_2296,Xd_2296) ),
inference(resolution,[status(thm)],[c_13085,c_42]) ).
tff(c_13154,plain,
! [Xb_2297,Xa_2298,Xd_2299] :
( ( Xb_2297 = Xa_2298 )
| ~ le(Xa_2298,Xb_2297,Xd_2299,Xd_2299) ),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_13129]) ).
tff(c_13261,plain,
( ( '#skF_5' = '#skF_6' )
| ~ s_t('#skF_3','#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_8832,c_13154]) ).
tff(c_13770,plain,
~ s_t('#skF_3','#skF_2','#skF_3'),
inference(splitLeft,[status(thm)],[c_13261]) ).
tff(c_104,plain,
! [Xa_163,Xb_164] : s_col(Xa_163,Xb_164,Xa_163),
inference(cnfTransformation,[status(thm)],[f_370]) ).
tff(c_172,plain,
! [Xa_275,Xp_276,Xb_277] :
( s_t(Xa_275,Xp_276,Xb_277)
| ~ s_col(Xa_275,Xp_276,Xb_277)
| sameside(Xa_275,Xp_276,Xb_277) ),
inference(cnfTransformation,[status(thm)],[f_645]) ).
tff(c_520,plain,
congruent('#skF_1','#skF_2','#skF_3','#skF_4','#skF_5','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_2355]) ).
tff(c_9512,plain,
! [Xc_2059,Xb_2058,Xa_2057,Xe_2054,Xf_2055,Xd_2056] :
( congruent(Xd_2056,Xe_2054,Xf_2055,Xa_2057,Xb_2058,Xc_2059)
| ~ congruent(Xa_2057,Xb_2058,Xc_2059,Xd_2056,Xe_2054,Xf_2055) ),
inference(cnfTransformation,[status(thm)],[f_2299]) ).
tff(c_9521,plain,
congruent('#skF_4','#skF_5','#skF_6','#skF_1','#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_520,c_9512]) ).
tff(c_10173,plain,
! [Xd_2152,Xe_2154,Xb_2155,Xf_2157,Xc_2156,Xa_2153] :
( sameside(ext(Xe_2154,Xd_2152,Xb_2155,Xa_2153),Xe_2154,Xd_2152)
| ~ congruent(Xa_2153,Xb_2155,Xc_2156,Xd_2152,Xe_2154,Xf_2157) ),
inference(cnfTransformation,[status(thm)],[f_2120]) ).
tff(c_10182,plain,
sameside(ext('#skF_2','#skF_1','#skF_5','#skF_4'),'#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_9521,c_10173]) ).
tff(c_176,plain,
! [Xb_282,Xp_281,Xa_280] :
( sameside(Xb_282,Xp_281,Xa_280)
| ~ sameside(Xa_280,Xp_281,Xb_282) ),
inference(cnfTransformation,[status(thm)],[f_654]) ).
tff(c_10239,plain,
sameside('#skF_1','#skF_2',ext('#skF_2','#skF_1','#skF_5','#skF_4')),
inference(resolution,[status(thm)],[c_10182,c_176]) ).
tff(c_178,plain,
! [Xa_283,Xp_284,Xc_286,Xb_285] :
( sameside(Xa_283,Xp_284,Xc_286)
| ~ sameside(Xb_285,Xp_284,Xc_286)
| ~ sameside(Xa_283,Xp_284,Xb_285) ),
inference(cnfTransformation,[status(thm)],[f_662]) ).
tff(c_10526,plain,
! [Xa_2190] :
( sameside(Xa_2190,'#skF_2','#skF_1')
| ~ sameside(Xa_2190,'#skF_2',ext('#skF_2','#skF_1','#skF_5','#skF_4')) ),
inference(resolution,[status(thm)],[c_10182,c_178]) ).
tff(c_10550,plain,
sameside('#skF_1','#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_10239,c_10526]) ).
tff(c_10185,plain,
sameside(ext('#skF_5','#skF_4','#skF_2','#skF_1'),'#skF_5','#skF_4'),
inference(resolution,[status(thm)],[c_520,c_10173]) ).
tff(c_10212,plain,
sameside('#skF_4','#skF_5',ext('#skF_5','#skF_4','#skF_2','#skF_1')),
inference(resolution,[status(thm)],[c_10185,c_176]) ).
tff(c_10391,plain,
! [Xa_2175] :
( sameside(Xa_2175,'#skF_5','#skF_4')
| ~ sameside(Xa_2175,'#skF_5',ext('#skF_5','#skF_4','#skF_2','#skF_1')) ),
inference(resolution,[status(thm)],[c_10185,c_178]) ).
tff(c_10415,plain,
sameside('#skF_4','#skF_5','#skF_4'),
inference(resolution,[status(thm)],[c_10212,c_10391]) ).
tff(c_10745,plain,
! [Xc_2210,Xf_2211,Xa_2207,Xb_2209,Xd_2206,Xe_2208] :
( sameside(ext(Xe_2208,Xf_2211,Xb_2209,Xc_2210),Xe_2208,Xf_2211)
| ~ congruent(Xa_2207,Xb_2209,Xc_2210,Xd_2206,Xe_2208,Xf_2211) ),
inference(cnfTransformation,[status(thm)],[f_2120]) ).
tff(c_10757,plain,
sameside(ext('#skF_5','#skF_6','#skF_2','#skF_3'),'#skF_5','#skF_6'),
inference(resolution,[status(thm)],[c_520,c_10745]) ).
tff(c_10784,plain,
sameside('#skF_6','#skF_5',ext('#skF_5','#skF_6','#skF_2','#skF_3')),
inference(resolution,[status(thm)],[c_10757,c_176]) ).
tff(c_10919,plain,
! [Xa_2224] :
( sameside(Xa_2224,'#skF_5','#skF_6')
| ~ sameside(Xa_2224,'#skF_5',ext('#skF_5','#skF_6','#skF_2','#skF_3')) ),
inference(resolution,[status(thm)],[c_10757,c_178]) ).
tff(c_10943,plain,
sameside('#skF_6','#skF_5','#skF_6'),
inference(resolution,[status(thm)],[c_10784,c_10919]) ).
tff(c_514,plain,
~ s_e('#skF_1','#skF_3','#skF_4','#skF_6'),
inference(cnfTransformation,[status(thm)],[f_2355]) ).
tff(c_518,plain,
s_e('#skF_2','#skF_1','#skF_5','#skF_4'),
inference(cnfTransformation,[status(thm)],[f_2355]) ).
tff(c_65981,plain,
! [Xd_3340,Xb_3344,Xe_3337,Xf_3339,Xc_3345,Xc2_3336,Xa2_3343,Xf2_3341,Xd2_3338,Xa_3342] :
( s_e(Xa2_3343,Xc2_3336,Xd2_3338,Xf2_3341)
| ~ s_e(Xb_3344,Xc2_3336,Xe_3337,Xf2_3341)
| ~ s_e(Xb_3344,Xa2_3343,Xe_3337,Xd2_3338)
| ~ sameside(Xf2_3341,Xe_3337,Xf_3339)
| ~ sameside(Xd2_3338,Xe_3337,Xd_3340)
| ~ sameside(Xc2_3336,Xb_3344,Xc_3345)
| ~ sameside(Xa2_3343,Xb_3344,Xa_3342)
| ~ congruent(Xa_3342,Xb_3344,Xc_3345,Xd_3340,Xe_3337,Xf_3339) ),
inference(cnfTransformation,[status(thm)],[f_2245]) ).
tff(c_67493,plain,
! [Xf_3349,Xc_3347,Xa2_3352,Xa_3348,Xd_3350,Xd2_3351] :
( s_e(Xa2_3352,'#skF_3',Xd2_3351,'#skF_6')
| ~ s_e('#skF_2',Xa2_3352,'#skF_5',Xd2_3351)
| ~ sameside('#skF_6','#skF_5',Xf_3349)
| ~ sameside(Xd2_3351,'#skF_5',Xd_3350)
| ~ sameside('#skF_3','#skF_2',Xc_3347)
| ~ sameside(Xa2_3352,'#skF_2',Xa_3348)
| ~ congruent(Xa_3348,'#skF_2',Xc_3347,Xd_3350,'#skF_5',Xf_3349) ),
inference(resolution,[status(thm)],[c_516,c_65981]) ).
tff(c_67730,plain,
! [Xf_3349,Xd_3350,Xc_3347,Xa_3348] :
( s_e('#skF_1','#skF_3','#skF_4','#skF_6')
| ~ sameside('#skF_6','#skF_5',Xf_3349)
| ~ sameside('#skF_4','#skF_5',Xd_3350)
| ~ sameside('#skF_3','#skF_2',Xc_3347)
| ~ sameside('#skF_1','#skF_2',Xa_3348)
| ~ congruent(Xa_3348,'#skF_2',Xc_3347,Xd_3350,'#skF_5',Xf_3349) ),
inference(resolution,[status(thm)],[c_518,c_67493]) ).
tff(c_68148,plain,
! [Xf_3365,Xd_3366,Xc_3367,Xa_3368] :
( ~ sameside('#skF_6','#skF_5',Xf_3365)
| ~ sameside('#skF_4','#skF_5',Xd_3366)
| ~ sameside('#skF_3','#skF_2',Xc_3367)
| ~ sameside('#skF_1','#skF_2',Xa_3368)
| ~ congruent(Xa_3368,'#skF_2',Xc_3367,Xd_3366,'#skF_5',Xf_3365) ),
inference(negUnitSimplification,[status(thm)],[c_514,c_67730]) ).
tff(c_68155,plain,
( ~ sameside('#skF_6','#skF_5','#skF_6')
| ~ sameside('#skF_4','#skF_5','#skF_4')
| ~ sameside('#skF_3','#skF_2','#skF_3')
| ~ sameside('#skF_1','#skF_2','#skF_1') ),
inference(resolution,[status(thm)],[c_520,c_68148]) ).
tff(c_68159,plain,
~ sameside('#skF_3','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_10550,c_10415,c_10943,c_68155]) ).
tff(c_68168,plain,
( s_t('#skF_3','#skF_2','#skF_3')
| ~ s_col('#skF_3','#skF_2','#skF_3') ),
inference(resolution,[status(thm)],[c_172,c_68159]) ).
tff(c_68180,plain,
s_t('#skF_3','#skF_2','#skF_3'),
inference(demodulation,[status(thm),theory(equality)],[c_104,c_68168]) ).
tff(c_68182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13770,c_68180]) ).
tff(c_68183,plain,
'#skF_5' = '#skF_6',
inference(splitRight,[status(thm)],[c_13261]) ).
tff(c_1183,plain,
! [Xa_1131,Xm_1132,Xb_1133] :
( s_t(Xa_1131,Xm_1132,Xb_1133)
| ~ s_m(Xa_1131,Xm_1132,Xb_1133) ),
inference(cnfTransformation,[status(thm)],[f_2614]) ).
tff(c_50,plain,
! [Xc_81,Xb_80,Xa_79] :
( s_t(Xc_81,Xb_80,Xa_79)
| ~ s_t(Xa_79,Xb_80,Xc_81) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_1209,plain,
! [Xb_1133,Xm_1132,Xa_1131] :
( s_t(Xb_1133,Xm_1132,Xa_1131)
| ~ s_m(Xa_1131,Xm_1132,Xb_1133) ),
inference(resolution,[status(thm)],[c_1183,c_50]) ).
tff(c_8862,plain,
! [Xd_1952] :
( le('#skF_2','#skF_3','#skF_5',Xd_1952)
| ~ s_t('#skF_5','#skF_6',Xd_1952) ),
inference(resolution,[status(thm)],[c_516,c_8599]) ).
tff(c_13271,plain,
( ( '#skF_2' = '#skF_3' )
| ~ s_t('#skF_5','#skF_6','#skF_5') ),
inference(resolution,[status(thm)],[c_8862,c_13154]) ).
tff(c_13286,plain,
~ s_t('#skF_5','#skF_6','#skF_5'),
inference(splitLeft,[status(thm)],[c_13271]) ).
tff(c_13293,plain,
~ s_m('#skF_5','#skF_6','#skF_5'),
inference(resolution,[status(thm)],[c_1209,c_13286]) ).
tff(c_68189,plain,
~ s_m('#skF_6','#skF_6','#skF_6'),
inference(demodulation,[status(thm),theory(equality)],[c_68183,c_68183,c_13293]) ).
tff(c_68321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_218,c_68189]) ).
tff(c_68322,plain,
'#skF_2' = '#skF_3',
inference(splitRight,[status(thm)],[c_13271]) ).
tff(c_10754,plain,
sameside(ext('#skF_2','#skF_3','#skF_5','#skF_6'),'#skF_2','#skF_3'),
inference(resolution,[status(thm)],[c_9521,c_10745]) ).
tff(c_10811,plain,
sameside('#skF_3','#skF_2',ext('#skF_2','#skF_3','#skF_5','#skF_6')),
inference(resolution,[status(thm)],[c_10754,c_176]) ).
tff(c_170,plain,
! [Xa_272,Xp_273,Xb_274] :
( ~ s_t(Xa_272,Xp_273,Xb_274)
| ~ sameside(Xa_272,Xp_273,Xb_274) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_10873,plain,
~ s_t('#skF_3','#skF_2',ext('#skF_2','#skF_3','#skF_5','#skF_6')),
inference(resolution,[status(thm)],[c_10811,c_170]) ).
tff(c_68363,plain,
~ s_t('#skF_3','#skF_3',ext('#skF_3','#skF_3','#skF_5','#skF_6')),
inference(demodulation,[status(thm),theory(equality)],[c_68322,c_68322,c_10873]) ).
tff(c_68468,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8,c_68363]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO535+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 4 01:10:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 42.83/25.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.83/25.18
% 42.83/25.18 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 42.83/25.21
% 42.83/25.21 Inference rules
% 42.83/25.21 ----------------------
% 42.83/25.21 #Ref : 7
% 42.83/25.21 #Sup : 17724
% 42.83/25.21 #Fact : 8
% 42.83/25.21 #Define : 0
% 42.83/25.21 #Split : 51
% 42.83/25.21 #Chain : 0
% 42.83/25.21 #Close : 0
% 42.83/25.21
% 42.83/25.21 Ordering : KBO
% 42.83/25.21
% 42.83/25.21 Simplification rules
% 42.83/25.21 ----------------------
% 42.83/25.21 #Subsume : 1294
% 42.83/25.21 #Demod : 6885
% 42.83/25.21 #Tautology : 3563
% 42.83/25.21 #SimpNegUnit : 54
% 42.83/25.21 #BackRed : 1212
% 42.83/25.21
% 42.83/25.21 #Partial instantiations: 0
% 42.83/25.21 #Strategies tried : 1
% 42.83/25.21
% 42.83/25.21 Timing (in seconds)
% 42.83/25.21 ----------------------
% 42.83/25.22 Preprocessing : 1.11
% 42.83/25.22 Parsing : 0.26
% 42.83/25.22 CNF conversion : 0.10
% 43.15/25.22 Main loop : 23.11
% 43.15/25.22 Inferencing : 2.66
% 43.15/25.22 Reduction : 12.03
% 43.15/25.22 Demodulation : 9.94
% 43.15/25.22 BG Simplification : 0.21
% 43.15/25.22 Subsumption : 7.16
% 43.15/25.22 Abstraction : 0.20
% 43.15/25.22 MUC search : 0.00
% 43.15/25.22 Cooper : 0.00
% 43.15/25.22 Total : 24.29
% 43.15/25.22 Index Insertion : 0.00
% 43.15/25.22 Index Deletion : 0.00
% 43.15/25.22 Index Matching : 0.00
% 43.15/25.22 BG Taut test : 0.00
%------------------------------------------------------------------------------