TSTP Solution File: SYO334^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO334^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.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 : 600s
% DateTime : Thu Jul 21 17:33:25 EDT 2022
% Result : Theorem 0.21s 0.48s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 70 ( 44 unt; 13 typ; 0 def)
% Number of atoms : 161 ( 79 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 681 ( 36 ~; 32 |; 20 &; 551 @)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 85 ( 85 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 191 ( 0 ^ 184 !; 7 ?; 191 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_c,type,
c: $tType ).
thf(tp_c_stara,type,
c_stara: a > a > a ).
thf(tp_c_starb,type,
c_starb: b > b > b ).
thf(tp_c_starc,type,
c_starc: c > c > c ).
thf(tp_sK1_Xf,type,
sK1_Xf: a > b ).
thf(tp_sK2_SY17,type,
sK2_SY17: a > c ).
thf(tp_sK3_SY33,type,
sK3_SY33: b > c ).
thf(tp_sK4_SY59,type,
sK4_SY59: b ).
thf(tp_sK5_SY62,type,
sK5_SY62: b ).
thf(tp_sK6_SY64,type,
sK6_SY64: c > $o ).
thf(tp_sK7_SY22,type,
sK7_SY22: b > a ).
thf(1,conjecture,
! [Xf: a > b,Xg: a > c,Xh: b > c] :
( ( ! [Xx: a,Xq: c > $o] :
( ( Xq @ ( Xh @ ( Xf @ Xx ) ) )
=> ( Xq @ ( Xg @ Xx ) ) )
& ! [Xy: b] :
? [Xx: a] :
! [Xq: b > $o] :
( ( Xq @ ( Xf @ Xx ) )
=> ( Xq @ Xy ) )
& ! [Xx: a,Xy: a,Xq: b > $o] :
( ( Xq @ ( Xf @ ( c_stara @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starb @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
& ! [Xx: a,Xy: a,Xq: c > $o] :
( ( Xq @ ( Xg @ ( c_stara @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starc @ ( Xg @ Xx ) @ ( Xg @ Xy ) ) ) ) )
=> ! [Xx: b,Xy: b,Xq: c > $o] :
( ( Xq @ ( Xh @ ( c_starb @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starc @ ( Xh @ Xx ) @ ( Xh @ Xy ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM270_INST) ).
thf(2,negated_conjecture,
( ( ! [Xf: a > b,Xg: a > c,Xh: b > c] :
( ( ! [Xx: a,Xq: c > $o] :
( ( Xq @ ( Xh @ ( Xf @ Xx ) ) )
=> ( Xq @ ( Xg @ Xx ) ) )
& ! [Xy: b] :
? [Xx: a] :
! [Xq: b > $o] :
( ( Xq @ ( Xf @ Xx ) )
=> ( Xq @ Xy ) )
& ! [Xx: a,Xy: a,Xq: b > $o] :
( ( Xq @ ( Xf @ ( c_stara @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starb @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
& ! [Xx: a,Xy: a,Xq: c > $o] :
( ( Xq @ ( Xg @ ( c_stara @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starc @ ( Xg @ Xx ) @ ( Xg @ Xy ) ) ) ) )
=> ! [Xx: b,Xy: b,Xq: c > $o] :
( ( Xq @ ( Xh @ ( c_starb @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starc @ ( Xh @ Xx ) @ ( Xh @ Xy ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xf: a > b,Xg: a > c,Xh: b > c] :
( ( ! [Xx: a,Xq: c > $o] :
( ( Xq @ ( Xh @ ( Xf @ Xx ) ) )
=> ( Xq @ ( Xg @ Xx ) ) )
& ! [Xy: b] :
? [Xx: a] :
! [Xq: b > $o] :
( ( Xq @ ( Xf @ Xx ) )
=> ( Xq @ Xy ) )
& ! [Xx: a,Xy: a,Xq: b > $o] :
( ( Xq @ ( Xf @ ( c_stara @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starb @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) ) )
& ! [Xx: a,Xy: a,Xq: c > $o] :
( ( Xq @ ( Xg @ ( c_stara @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starc @ ( Xg @ Xx ) @ ( Xg @ Xy ) ) ) ) )
=> ! [Xx: b,Xy: b,Xq: c > $o] :
( ( Xq @ ( Xh @ ( c_starb @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starc @ ( Xh @ Xx ) @ ( Xh @ Xy ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY17: a > c,SY18: b > c] :
( ( ! [SY19: a,SY20: c > $o] :
( ( SY20 @ ( SY18 @ ( sK1_Xf @ SY19 ) ) )
=> ( SY20 @ ( SY17 @ SY19 ) ) )
& ! [SY21: b] :
? [SY22: a] :
! [SY23: b > $o] :
( ( SY23 @ ( sK1_Xf @ SY22 ) )
=> ( SY23 @ SY21 ) )
& ! [SY24: a,SY25: a,SY26: b > $o] :
( ( SY26 @ ( sK1_Xf @ ( c_stara @ SY24 @ SY25 ) ) )
=> ( SY26 @ ( c_starb @ ( sK1_Xf @ SY24 ) @ ( sK1_Xf @ SY25 ) ) ) )
& ! [Xx: a,Xy: a,Xq: c > $o] :
( ( Xq @ ( SY17 @ ( c_stara @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starc @ ( SY17 @ Xx ) @ ( SY17 @ Xy ) ) ) ) )
=> ! [Xx: b,Xy: b,Xq: c > $o] :
( ( Xq @ ( SY18 @ ( c_starb @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starc @ ( SY18 @ Xx ) @ ( SY18 @ Xy ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY33: b > c] :
( ( ! [SY34: a,SY35: c > $o] :
( ( SY35 @ ( SY33 @ ( sK1_Xf @ SY34 ) ) )
=> ( SY35 @ ( sK2_SY17 @ SY34 ) ) )
& ! [SY21: b] :
? [SY22: a] :
! [SY23: b > $o] :
( ( SY23 @ ( sK1_Xf @ SY22 ) )
=> ( SY23 @ SY21 ) )
& ! [SY24: a,SY25: a,SY26: b > $o] :
( ( SY26 @ ( sK1_Xf @ ( c_stara @ SY24 @ SY25 ) ) )
=> ( SY26 @ ( c_starb @ ( sK1_Xf @ SY24 ) @ ( sK1_Xf @ SY25 ) ) ) )
& ! [SY42: a,SY43: a,SY44: c > $o] :
( ( SY44 @ ( sK2_SY17 @ ( c_stara @ SY42 @ SY43 ) ) )
=> ( SY44 @ ( c_starc @ ( sK2_SY17 @ SY42 ) @ ( sK2_SY17 @ SY43 ) ) ) ) )
=> ! [Xx: b,Xy: b,Xq: c > $o] :
( ( Xq @ ( SY33 @ ( c_starb @ Xx @ Xy ) ) )
=> ( Xq @ ( c_starc @ ( SY33 @ Xx ) @ ( SY33 @ Xy ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ! [SY48: a,SY49: c > $o] :
( ( SY49 @ ( sK3_SY33 @ ( sK1_Xf @ SY48 ) ) )
=> ( SY49 @ ( sK2_SY17 @ SY48 ) ) )
& ! [SY21: b] :
? [SY22: a] :
! [SY23: b > $o] :
( ( SY23 @ ( sK1_Xf @ SY22 ) )
=> ( SY23 @ SY21 ) )
& ! [SY24: a,SY25: a,SY26: b > $o] :
( ( SY26 @ ( sK1_Xf @ ( c_stara @ SY24 @ SY25 ) ) )
=> ( SY26 @ ( c_starb @ ( sK1_Xf @ SY24 ) @ ( sK1_Xf @ SY25 ) ) ) )
& ! [SY42: a,SY43: a,SY44: c > $o] :
( ( SY44 @ ( sK2_SY17 @ ( c_stara @ SY42 @ SY43 ) ) )
=> ( SY44 @ ( c_starc @ ( sK2_SY17 @ SY42 ) @ ( sK2_SY17 @ SY43 ) ) ) ) )
=> ! [SY59: b,SY60: b,SY61: c > $o] :
( ( SY61 @ ( sK3_SY33 @ ( c_starb @ SY59 @ SY60 ) ) )
=> ( SY61 @ ( c_starc @ ( sK3_SY33 @ SY59 ) @ ( sK3_SY33 @ SY60 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY48: a,SY49: c > $o] :
( ( SY49 @ ( sK3_SY33 @ ( sK1_Xf @ SY48 ) ) )
=> ( SY49 @ ( sK2_SY17 @ SY48 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY21: b] :
? [SY22: a] :
! [SY23: b > $o] :
( ( SY23 @ ( sK1_Xf @ SY22 ) )
=> ( SY23 @ SY21 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ! [SY24: a,SY25: a,SY26: b > $o] :
( ( SY26 @ ( sK1_Xf @ ( c_stara @ SY24 @ SY25 ) ) )
=> ( SY26 @ ( c_starb @ ( sK1_Xf @ SY24 ) @ ( sK1_Xf @ SY25 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(10,plain,
( ( ! [SY42: a,SY43: a,SY44: c > $o] :
( ( SY44 @ ( sK2_SY17 @ ( c_stara @ SY42 @ SY43 ) ) )
=> ( SY44 @ ( c_starc @ ( sK2_SY17 @ SY42 ) @ ( sK2_SY17 @ SY43 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(11,plain,
( ( ! [SY59: b,SY60: b,SY61: c > $o] :
( ( SY61 @ ( sK3_SY33 @ ( c_starb @ SY59 @ SY60 ) ) )
=> ( SY61 @ ( c_starc @ ( sK3_SY33 @ SY59 ) @ ( sK3_SY33 @ SY60 ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(12,plain,
( ( ~ ! [SY59: b,SY60: b,SY61: c > $o] :
( ( SY61 @ ( sK3_SY33 @ ( c_starb @ SY59 @ SY60 ) ) )
=> ( SY61 @ ( c_starc @ ( sK3_SY33 @ SY59 ) @ ( sK3_SY33 @ SY60 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(13,plain,
( ( ( sK6_SY64 @ ( sK3_SY33 @ ( c_starb @ sK4_SY59 @ sK5_SY62 ) ) )
& ~ ( sK6_SY64 @ ( c_starc @ ( sK3_SY33 @ sK4_SY59 ) @ ( sK3_SY33 @ sK5_SY62 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(14,plain,
( ( ! [SY48: a,SY49: c > $o] :
( ~ ( SY49 @ ( sK3_SY33 @ ( sK1_Xf @ SY48 ) ) )
| ( SY49 @ ( sK2_SY17 @ SY48 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(15,plain,
( ( ! [SY21: b,SY65: b > $o] :
( ~ ( SY65 @ ( sK1_Xf @ ( sK7_SY22 @ SY21 ) ) )
| ( SY65 @ SY21 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(16,plain,
( ( ! [SY24: a,SY25: a,SY26: b > $o] :
( ~ ( SY26 @ ( sK1_Xf @ ( c_stara @ SY24 @ SY25 ) ) )
| ( SY26 @ ( c_starb @ ( sK1_Xf @ SY24 ) @ ( sK1_Xf @ SY25 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(17,plain,
( ( ! [SY42: a,SY43: a,SY44: c > $o] :
( ~ ( SY44 @ ( sK2_SY17 @ ( c_stara @ SY42 @ SY43 ) ) )
| ( SY44 @ ( c_starc @ ( sK2_SY17 @ SY42 ) @ ( sK2_SY17 @ SY43 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(18,plain,
( ( ! [SY42: a,SY43: a,SY44: c > $o] :
( ~ ( SY44 @ ( sK2_SY17 @ ( c_stara @ SY42 @ SY43 ) ) )
| ( SY44 @ ( c_starc @ ( sK2_SY17 @ SY42 ) @ ( sK2_SY17 @ SY43 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(19,plain,
( ( ! [SY24: a,SY25: a,SY26: b > $o] :
( ~ ( SY26 @ ( sK1_Xf @ ( c_stara @ SY24 @ SY25 ) ) )
| ( SY26 @ ( c_starb @ ( sK1_Xf @ SY24 ) @ ( sK1_Xf @ SY25 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SY21: b,SY65: b > $o] :
( ~ ( SY65 @ ( sK1_Xf @ ( sK7_SY22 @ SY21 ) ) )
| ( SY65 @ SY21 ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(21,plain,
( ( ! [SY48: a,SY49: c > $o] :
( ~ ( SY49 @ ( sK3_SY33 @ ( sK1_Xf @ SY48 ) ) )
| ( SY49 @ ( sK2_SY17 @ SY48 ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(22,plain,
( ( ( sK6_SY64 @ ( sK3_SY33 @ ( c_starb @ sK4_SY59 @ sK5_SY62 ) ) )
& ~ ( sK6_SY64 @ ( c_starc @ ( sK3_SY33 @ sK4_SY59 ) @ ( sK3_SY33 @ sK5_SY62 ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(23,plain,
( ( ~ ( ~ ( sK6_SY64 @ ( sK3_SY33 @ ( c_starb @ sK4_SY59 @ sK5_SY62 ) ) )
| ~ ~ ( sK6_SY64 @ ( c_starc @ ( sK3_SY33 @ sK4_SY59 ) @ ( sK3_SY33 @ sK5_SY62 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(24,plain,
! [SV1: a] :
( ( ! [SY66: a,SY67: c > $o] :
( ~ ( SY67 @ ( sK2_SY17 @ ( c_stara @ SV1 @ SY66 ) ) )
| ( SY67 @ ( c_starc @ ( sK2_SY17 @ SV1 ) @ ( sK2_SY17 @ SY66 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(25,plain,
! [SV2: a] :
( ( ! [SY68: a,SY69: b > $o] :
( ~ ( SY69 @ ( sK1_Xf @ ( c_stara @ SV2 @ SY68 ) ) )
| ( SY69 @ ( c_starb @ ( sK1_Xf @ SV2 ) @ ( sK1_Xf @ SY68 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(26,plain,
! [SV3: b] :
( ( ! [SY70: b > $o] :
( ~ ( SY70 @ ( sK1_Xf @ ( sK7_SY22 @ SV3 ) ) )
| ( SY70 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(27,plain,
! [SV4: a] :
( ( ! [SY71: c > $o] :
( ~ ( SY71 @ ( sK3_SY33 @ ( sK1_Xf @ SV4 ) ) )
| ( SY71 @ ( sK2_SY17 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(28,plain,
( ( ~ ( sK6_SY64 @ ( sK3_SY33 @ ( c_starb @ sK4_SY59 @ sK5_SY62 ) ) )
| ~ ~ ( sK6_SY64 @ ( c_starc @ ( sK3_SY33 @ sK4_SY59 ) @ ( sK3_SY33 @ sK5_SY62 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV5: a,SV1: a] :
( ( ! [SY72: c > $o] :
( ~ ( SY72 @ ( sK2_SY17 @ ( c_stara @ SV1 @ SV5 ) ) )
| ( SY72 @ ( c_starc @ ( sK2_SY17 @ SV1 ) @ ( sK2_SY17 @ SV5 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV6: a,SV2: a] :
( ( ! [SY73: b > $o] :
( ~ ( SY73 @ ( sK1_Xf @ ( c_stara @ SV2 @ SV6 ) ) )
| ( SY73 @ ( c_starb @ ( sK1_Xf @ SV2 ) @ ( sK1_Xf @ SV6 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(31,plain,
! [SV3: b,SV7: b > $o] :
( ( ~ ( SV7 @ ( sK1_Xf @ ( sK7_SY22 @ SV3 ) ) )
| ( SV7 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV4: a,SV8: c > $o] :
( ( ~ ( SV8 @ ( sK3_SY33 @ ( sK1_Xf @ SV4 ) ) )
| ( SV8 @ ( sK2_SY17 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(33,plain,
( ( ~ ( sK6_SY64 @ ( sK3_SY33 @ ( c_starb @ sK4_SY59 @ sK5_SY62 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ~ ( sK6_SY64 @ ( c_starc @ ( sK3_SY33 @ sK4_SY59 ) @ ( sK3_SY33 @ sK5_SY62 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,plain,
! [SV5: a,SV1: a,SV9: c > $o] :
( ( ~ ( SV9 @ ( sK2_SY17 @ ( c_stara @ SV1 @ SV5 ) ) )
| ( SV9 @ ( c_starc @ ( sK2_SY17 @ SV1 ) @ ( sK2_SY17 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV6: a,SV2: a,SV10: b > $o] :
( ( ~ ( SV10 @ ( sK1_Xf @ ( c_stara @ SV2 @ SV6 ) ) )
| ( SV10 @ ( c_starb @ ( sK1_Xf @ SV2 ) @ ( sK1_Xf @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(37,plain,
! [SV3: b,SV7: b > $o] :
( ( ( ~ ( SV7 @ ( sK1_Xf @ ( sK7_SY22 @ SV3 ) ) ) )
= $true )
| ( ( SV7 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV4: a,SV8: c > $o] :
( ( ( ~ ( SV8 @ ( sK3_SY33 @ ( sK1_Xf @ SV4 ) ) ) )
= $true )
| ( ( SV8 @ ( sK2_SY17 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(39,plain,
( ( sK6_SY64 @ ( sK3_SY33 @ ( c_starb @ sK4_SY59 @ sK5_SY62 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(40,plain,
( ( ~ ( sK6_SY64 @ ( c_starc @ ( sK3_SY33 @ sK4_SY59 ) @ ( sK3_SY33 @ sK5_SY62 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(41,plain,
! [SV5: a,SV1: a,SV9: c > $o] :
( ( ( ~ ( SV9 @ ( sK2_SY17 @ ( c_stara @ SV1 @ SV5 ) ) ) )
= $true )
| ( ( SV9 @ ( c_starc @ ( sK2_SY17 @ SV1 ) @ ( sK2_SY17 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV6: a,SV2: a,SV10: b > $o] :
( ( ( ~ ( SV10 @ ( sK1_Xf @ ( c_stara @ SV2 @ SV6 ) ) ) )
= $true )
| ( ( SV10 @ ( c_starb @ ( sK1_Xf @ SV2 ) @ ( sK1_Xf @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV3: b,SV7: b > $o] :
( ( ( SV7 @ ( sK1_Xf @ ( sK7_SY22 @ SV3 ) ) )
= $false )
| ( ( SV7 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV4: a,SV8: c > $o] :
( ( ( SV8 @ ( sK3_SY33 @ ( sK1_Xf @ SV4 ) ) )
= $false )
| ( ( SV8 @ ( sK2_SY17 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(45,plain,
( ( sK6_SY64 @ ( c_starc @ ( sK3_SY33 @ sK4_SY59 ) @ ( sK3_SY33 @ sK5_SY62 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV5: a,SV1: a,SV9: c > $o] :
( ( ( SV9 @ ( sK2_SY17 @ ( c_stara @ SV1 @ SV5 ) ) )
= $false )
| ( ( SV9 @ ( c_starc @ ( sK2_SY17 @ SV1 ) @ ( sK2_SY17 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(47,plain,
! [SV6: a,SV2: a,SV10: b > $o] :
( ( ( SV10 @ ( sK1_Xf @ ( c_stara @ SV2 @ SV6 ) ) )
= $false )
| ( ( SV10 @ ( c_starb @ ( sK1_Xf @ SV2 ) @ ( sK1_Xf @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV3: b] :
( ( ( ( sK1_Xf @ ( sK7_SY22 @ SV3 ) )
= ( sK1_Xf @ ( sK7_SY22 @ SV3 ) ) )
= $false )
| ( ( SV3
= ( sK1_Xf @ ( sK7_SY22 @ SV3 ) ) )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[43:[bind(SV7,$thf( ^ [SV11: b] : ( SV11 = ( sK1_Xf @ ( sK7_SY22 @ SV3 ) ) ) ))]]) ).
thf(49,plain,
! [SV3: b] :
( ( SV3
= ( sK1_Xf @ ( sK7_SY22 @ SV3 ) ) )
= $true ),
inference(sim,[status(thm)],[48]) ).
thf(50,plain,
! [SV4: a] :
( ( ( ( sK3_SY33 @ ( sK1_Xf @ SV4 ) )
= ( sK3_SY33 @ ( sK1_Xf @ SV4 ) ) )
= $false )
| ( ( ( sK2_SY17 @ SV4 )
= ( sK3_SY33 @ ( sK1_Xf @ SV4 ) ) )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[44:[bind(SV8,$thf( ^ [SV12: c] : ( SV12 = ( sK3_SY33 @ ( sK1_Xf @ SV4 ) ) ) ))]]) ).
thf(51,plain,
! [SV4: a] :
( ( ( sK2_SY17 @ SV4 )
= ( sK3_SY33 @ ( sK1_Xf @ SV4 ) ) )
= $true ),
inference(sim,[status(thm)],[50]) ).
thf(52,plain,
! [SV5: a,SV1: a] :
( ( ( ( sK2_SY17 @ ( c_stara @ SV1 @ SV5 ) )
= ( sK2_SY17 @ ( c_stara @ SV1 @ SV5 ) ) )
= $false )
| ( ( ( c_starc @ ( sK2_SY17 @ SV1 ) @ ( sK2_SY17 @ SV5 ) )
= ( sK2_SY17 @ ( c_stara @ SV1 @ SV5 ) ) )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[46:[bind(SV9,$thf( ^ [SV13: c] : ( SV13 = ( sK2_SY17 @ ( c_stara @ SV1 @ SV5 ) ) ) ))]]) ).
thf(53,plain,
! [SV5: a,SV1: a] :
( ( ( c_starc @ ( sK2_SY17 @ SV1 ) @ ( sK2_SY17 @ SV5 ) )
= ( sK2_SY17 @ ( c_stara @ SV1 @ SV5 ) ) )
= $true ),
inference(sim,[status(thm)],[52]) ).
thf(54,plain,
! [SV6: a,SV2: a] :
( ( ( ( sK1_Xf @ ( c_stara @ SV2 @ SV6 ) )
= ( sK1_Xf @ ( c_stara @ SV2 @ SV6 ) ) )
= $false )
| ( ( ( c_starb @ ( sK1_Xf @ SV2 ) @ ( sK1_Xf @ SV6 ) )
= ( sK1_Xf @ ( c_stara @ SV2 @ SV6 ) ) )
= $true ) ),
inference(replace_leibnizEQ,[status(thm)],[47:[bind(SV10,$thf( ^ [SV14: b] : ( SV14 = ( sK1_Xf @ ( c_stara @ SV2 @ SV6 ) ) ) ))]]) ).
thf(55,plain,
! [SV6: a,SV2: a] :
( ( ( c_starb @ ( sK1_Xf @ SV2 ) @ ( sK1_Xf @ SV6 ) )
= ( sK1_Xf @ ( c_stara @ SV2 @ SV6 ) ) )
= $true ),
inference(sim,[status(thm)],[54]) ).
thf(56,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[39,55,53,51,49,45]) ).
thf(57,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO334^5 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jul 8 16:09:38 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.37
% 0.21/0.37 No.of.Axioms: 0
% 0.21/0.37
% 0.21/0.37 Length.of.Defs: 0
% 0.21/0.37
% 0.21/0.37 Contains.Choice.Funs: false
% 0.21/0.38 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.21/0.48
% 0.21/0.48 ********************************
% 0.21/0.48 * All subproblems solved! *
% 0.21/0.48 ********************************
% 0.21/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:56,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.21/0.48
% 0.21/0.48 %**** Beginning of derivation protocol ****
% 0.21/0.48 % SZS output start CNFRefutation
% See solution above
% 0.21/0.48
% 0.21/0.48 %**** End of derivation protocol ****
% 0.21/0.48 %**** no. of clauses in derivation: 57 ****
% 0.21/0.48 %**** clause counter: 56 ****
% 0.21/0.48
% 0.21/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:56,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------