TSTP Solution File: ITP006+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ITP006+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 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 : n006.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 10:43:06 EDT 2023
% Result : Theorem 20.01s 7.94s
% Output : CNFRefutation 20.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 59
% Syntax : Number of formulae : 75 ( 10 unt; 54 typ; 0 def)
% Number of atoms : 54 ( 10 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 49 ( 16 ~; 8 |; 8 &)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 30 >; 52 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 24 con; 0-5 aty)
% Number of variables : 45 (; 41 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > tyop_2Emin_2Efun > s > c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 > c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 > c_2EquantHeuristics_2EGUESS__FORALL_2E2 > c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 > c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 > c_2EquantHeuristics_2EGUESS__EXISTS_2E2 > c_2Emin_2E_3D_3D_3E_2E2 > c_2Emin_2E_3D_2E2 > c_2Ebool_2E_5C_2F_2E2 > c_2Ebool_2E_2F_5C_2E2 > app_2E2 > #nlpp > c_2Ebool_2E_7E_2E1 > c_2Ebool_2E_3F_2E1 > c_2Ebool_2E_21_2E1 > tyop_2Emin_2Ebool > combin_s_2E0 > combin_k_2E0 > combin_i_2E0 > c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0 > c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0 > c_2EquantHeuristics_2EGUESS__FORALL_2E0 > c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0 > c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0 > c_2EquantHeuristics_2EGUESS__EXISTS_2E0 > c_2Emin_2E_3D_3D_3E_2E0 > c_2Emin_2E_3D_2E0 > c_2Ebool_2E_7E_2E0 > c_2Ebool_2E_5C_2F_2E0 > c_2Ebool_2E_3F_2E0 > c_2Ebool_2E_2F_5C_2E0 > c_2Ebool_2E_21_2E0 > c_2Ebool_2ET_2E0 > c_2Ebool_2EF_2E0 > #skF_18 > #skF_17 > #skF_15 > #skF_10 > #skF_9 > #skF_12 > #skF_5 > #skF_3 > #skF_8 > #skF_16 > #skF_11 > #skF_14 > #skF_7 > #skF_6 > #skF_4 > #skF_2 > #skF_13 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0: $i ).
tff(app_2E2,type,
app_2E2: ( $i * $i ) > $i ).
tff(c_2EquantHeuristics_2EGUESS__EXISTS_2E2,type,
c_2EquantHeuristics_2EGUESS__EXISTS_2E2: ( $i * $i ) > $i ).
tff(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2,type,
c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2: ( $i * $i ) > $i ).
tff(c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': $i ).
tff(tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: $i ).
tff(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0: $i ).
tff('#skF_17',type,
'#skF_17': $i ).
tff('#skF_15',type,
'#skF_15': $i ).
tff(c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: $i ).
tff(c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: $i ).
tff(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2: ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i * $i ) > $i ).
tff(c_2EquantHeuristics_2EGUESS__EXISTS_2E0,type,
c_2EquantHeuristics_2EGUESS__EXISTS_2E0: $i ).
tff(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0,type,
c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i * $i ) > $i ).
tff(c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: ( $i * $i ) > $i ).
tff(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2,type,
c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2: ( $i * $i ) > $i ).
tff(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2,type,
c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(p,type,
p: $i > $o ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': $i ).
tff(c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: ( $i * $i ) > $i ).
tff(c_2Ebool_2E_5C_2F_2E2,type,
c_2Ebool_2E_5C_2F_2E2: ( $i * $i ) > $i ).
tff(combin_s_2E0,type,
combin_s_2E0: $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i * $i * $i ) > $i ).
tff(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0,type,
c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0: $i ).
tff(c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: $i ).
tff(tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: ( $i * $i ) > $i ).
tff(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0,type,
c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i * $i ) > $i ).
tff(c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: $i ).
tff(c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i * $i ) > $i ).
tff(c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: $i > $i ).
tff(c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: $i > $i ).
tff(c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: $i ).
tff(s,type,
s: ( $i * $i ) > $i ).
tff(c_2EquantHeuristics_2EGUESS__FORALL_2E0,type,
c_2EquantHeuristics_2EGUESS__FORALL_2E0: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(c_2EquantHeuristics_2EGUESS__FORALL_2E2,type,
c_2EquantHeuristics_2EGUESS__FORALL_2E2: ( $i * $i ) > $i ).
tff(c_2Ebool_2E_21_2E1,type,
c_2Ebool_2E_21_2E1: $i > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i * $i * $i ) > $i ).
tff(combin_i_2E0,type,
combin_i_2E0: $i ).
tff(c_2Ebool_2E_5C_2F_2E0,type,
c_2Ebool_2E_5C_2F_2E0: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff(c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: $i ).
tff(combin_k_2E0,type,
combin_k_2E0: $i ).
tff(f_41,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse) ).
tff(f_134,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
tff(f_454,negated_conjecture,
~ ! [A_27a,A_27b,V0i_2E0,V1P_2E0,V2Q_2E0] :
( ! [V3x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2Q_2E0),s(A_27a,V3x_2E0))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1P_2E0),s(A_27a,V3x_2E0)))) )
=> ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V0i_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1P_2E0))))
=> p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V0i_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V2Q_2E0)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
tff(f_203,axiom,
! [V0t_2E0] :
( ( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0) )
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0) )
<=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) )
<=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
tff(f_279,axiom,
! [A_27a,A_27b,V0i_2E0,V1P_2E0] :
( ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0))))
<=> ! [V2v_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0),s(A_27b,V2v_2E0))))
=> ? [V3fv_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0i_2E0),s(A_27a,V3fv_2E0)))))) ) )
& ( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0))))
<=> ! [V4v_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0),s(A_27b,V4v_2E0))))
=> ? [V5fv_2E0] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1P_2E0),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0i_2E0),s(A_27a,V5fv_2E0)))))) ) )
& ! [V6i_2E0,V7P_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V6i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V7P_2E0))))
<=> ! [V8fv_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V7P_2E0),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V6i_2E0),s(A_27a,V8fv_2E0)))))) )
& ! [V9i_2E0,V10P_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V9i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V10P_2E0))))
<=> ! [V11fv_2E0] : ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V10P_2E0),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V9i_2E0),s(A_27a,V11fv_2E0)))))) )
& ! [V12i_2E0,V13P_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V12i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V13P_2E0))))
<=> ! [V14v_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V13P_2E0),s(A_27b,V14v_2E0))))
=> ? [V15fv_2E0] : ( s(A_27b,V14v_2E0) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V12i_2E0),s(A_27a,V15fv_2E0))) ) ) )
& ! [V16i_2E0,V17P_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V16i_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V17P_2E0))))
<=> ! [V18v_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V17P_2E0),s(A_27b,V18v_2E0))))
=> ? [V19fv_2E0] : ( s(A_27b,V18v_2E0) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V16i_2E0),s(A_27a,V19fv_2E0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__REWRITES) ).
tff(c_14,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_102,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_876,plain,
p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun('#skF_15','#skF_14'),'#skF_16'),s(tyop_2Emin_2Efun('#skF_14',tyop_2Emin_2Ebool),'#skF_17')))),
inference(cnfTransformation,[status(thm)],[f_454]) ).
tff(c_154,plain,
! [V0t_2E0_88] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0_88) )
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0_88)) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_1210,plain,
s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun('#skF_15','#skF_14'),'#skF_16'),s(tyop_2Emin_2Efun('#skF_14',tyop_2Emin_2Ebool),'#skF_17'))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(resolution,[status(thm)],[c_876,c_154]) ).
tff(c_162,plain,
! [V0t_2E0_88] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0_88) )
| p(s(tyop_2Emin_2Ebool,V0t_2E0_88)) ),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_874,plain,
~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun('#skF_15','#skF_14'),'#skF_16'),s(tyop_2Emin_2Efun('#skF_14',tyop_2Emin_2Ebool),'#skF_18')))),
inference(cnfTransformation,[status(thm)],[f_454]) ).
tff(c_950,plain,
s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun('#skF_15','#skF_14'),'#skF_16'),s(tyop_2Emin_2Efun('#skF_14',tyop_2Emin_2Ebool),'#skF_18'))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),
inference(resolution,[status(thm)],[c_162,c_874]) ).
tff(c_45290,plain,
! [A_27a_456,A_27b_457,V9i_2E0_458,V10P_2E0_459] :
( p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27a_456,A_27b_457),V9i_2E0_458),s(tyop_2Emin_2Efun(A_27b_457,tyop_2Emin_2Ebool),V10P_2E0_459))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b_457,tyop_2Emin_2Ebool),V10P_2E0_459),s(A_27b_457,app_2E2(s(tyop_2Emin_2Efun(A_27a_456,A_27b_457),V9i_2E0_458),s(A_27a_456,'#skF_8'(A_27a_456,A_27b_457,V9i_2E0_458,V10P_2E0_459))))))) ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_878,plain,
! [V3x_2E0_217] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun('#skF_14',tyop_2Emin_2Ebool),'#skF_17'),s('#skF_14',V3x_2E0_217))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun('#skF_14',tyop_2Emin_2Ebool),'#skF_18'),s('#skF_14',V3x_2E0_217)))) ),
inference(cnfTransformation,[status(thm)],[f_454]) ).
tff(c_46825,plain,
! [A_27a_462,V9i_2E0_463] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun('#skF_14',tyop_2Emin_2Ebool),'#skF_17'),s('#skF_14',app_2E2(s(tyop_2Emin_2Efun(A_27a_462,'#skF_14'),V9i_2E0_463),s(A_27a_462,'#skF_8'(A_27a_462,'#skF_14',V9i_2E0_463,'#skF_18')))))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27a_462,'#skF_14'),V9i_2E0_463),s(tyop_2Emin_2Efun('#skF_14',tyop_2Emin_2Ebool),'#skF_18')))) ),
inference(resolution,[status(thm)],[c_45290,c_878]) ).
tff(c_200,plain,
! [V9i_2E0_176,A_27b_97,V10P_2E0_177,A_27a_96,V11fv_2E0_180] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27b_97,tyop_2Emin_2Ebool),V10P_2E0_177),s(A_27b_97,app_2E2(s(tyop_2Emin_2Efun(A_27a_96,A_27b_97),V9i_2E0_176),s(A_27a_96,V11fv_2E0_180))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27a_96,A_27b_97),V9i_2E0_176),s(tyop_2Emin_2Efun(A_27b_97,tyop_2Emin_2Ebool),V10P_2E0_177)))) ),
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_61607,plain,
! [A_27a_521,V9i_2E0_522] :
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27a_521,'#skF_14'),V9i_2E0_522),s(tyop_2Emin_2Efun('#skF_14',tyop_2Emin_2Ebool),'#skF_17'))))
| p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(A_27a_521,'#skF_14'),V9i_2E0_522),s(tyop_2Emin_2Efun('#skF_14',tyop_2Emin_2Ebool),'#skF_18')))) ),
inference(resolution,[status(thm)],[c_46825,c_200]) ).
tff(c_61637,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun('#skF_15','#skF_14'),'#skF_16'),s(tyop_2Emin_2Efun('#skF_14',tyop_2Emin_2Ebool),'#skF_17'))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(superposition,[status(thm),theory(equality)],[c_950,c_61607]) ).
tff(c_61668,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_1210,c_61637]) ).
tff(c_61670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14,c_61668]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ITP006+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14 % 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
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 18:55:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 20.01/7.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.01/7.95
% 20.01/7.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.01/7.97
% 20.01/7.97 Inference rules
% 20.01/7.97 ----------------------
% 20.01/7.97 #Ref : 5
% 20.01/7.97 #Sup : 16631
% 20.01/7.97 #Fact : 12
% 20.01/7.97 #Define : 0
% 20.01/7.97 #Split : 11
% 20.01/7.97 #Chain : 0
% 20.01/7.97 #Close : 0
% 20.01/7.97
% 20.01/7.97 Ordering : KBO
% 20.01/7.97
% 20.01/7.97 Simplification rules
% 20.01/7.97 ----------------------
% 20.01/7.97 #Subsume : 9546
% 20.01/7.97 #Demod : 12397
% 20.01/7.97 #Tautology : 4547
% 20.01/7.97 #SimpNegUnit : 1958
% 20.01/7.97 #BackRed : 69
% 20.01/7.97
% 20.01/7.97 #Partial instantiations: 0
% 20.01/7.97 #Strategies tried : 1
% 20.01/7.97
% 20.01/7.97 Timing (in seconds)
% 20.01/7.97 ----------------------
% 20.01/7.98 Preprocessing : 0.87
% 20.01/7.98 Parsing : 0.41
% 20.01/7.98 CNF conversion : 0.09
% 20.01/7.98 Main loop : 6.04
% 20.01/7.98 Inferencing : 1.25
% 20.01/7.98 Reduction : 3.41
% 20.01/7.98 Demodulation : 2.92
% 20.01/7.98 BG Simplification : 0.16
% 20.01/7.98 Subsumption : 1.03
% 20.01/7.98 Abstraction : 0.28
% 20.01/7.98 MUC search : 0.00
% 20.01/7.98 Cooper : 0.00
% 20.01/7.98 Total : 6.96
% 20.01/7.98 Index Insertion : 0.00
% 20.01/7.98 Index Deletion : 0.00
% 20.01/7.98 Index Matching : 0.00
% 20.01/7.98 BG Taut test : 0.00
%------------------------------------------------------------------------------