TSTP Solution File: ALG298^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ALG298^5 : 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 : n017.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 14 17:25:43 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 27 unt; 12 typ; 0 def)
% Number of atoms : 104 ( 76 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 284 ( 3 ~; 0 |; 18 &; 257 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 94 ( 0 ^ 87 !; 7 ?; 94 :)
% 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_SY12,type,
sK2_SY12: a > c ).
thf(tp_sK3_SY23,type,
sK3_SY23: b > c ).
thf(tp_sK4_SY40,type,
sK4_SY40: b ).
thf(tp_sK5_SY42,type,
sK5_SY42: b ).
thf(tp_sK6_SY16,type,
sK6_SY16: b > a ).
thf(1,conjecture,
! [Xf: a > b,Xg: a > c,Xh: b > c] :
( ( ! [Xx: a] :
( ( Xh @ ( Xf @ Xx ) )
= ( Xg @ Xx ) )
& ! [Xy: b] :
? [Xx: a] :
( ( Xf @ Xx )
= Xy )
& ! [Xx: a,Xy: a] :
( ( Xf @ ( c_stara @ Xx @ Xy ) )
= ( c_starb @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( Xg @ ( c_stara @ Xx @ Xy ) )
= ( c_starc @ ( Xg @ Xx ) @ ( Xg @ Xy ) ) ) )
=> ! [Xx: b,Xy: b] :
( ( Xh @ ( c_starb @ Xx @ Xy ) )
= ( c_starc @ ( Xh @ Xx ) @ ( Xh @ Xy ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM270_pme) ).
thf(2,negated_conjecture,
( ( ! [Xf: a > b,Xg: a > c,Xh: b > c] :
( ( ! [Xx: a] :
( ( Xh @ ( Xf @ Xx ) )
= ( Xg @ Xx ) )
& ! [Xy: b] :
? [Xx: a] :
( ( Xf @ Xx )
= Xy )
& ! [Xx: a,Xy: a] :
( ( Xf @ ( c_stara @ Xx @ Xy ) )
= ( c_starb @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( Xg @ ( c_stara @ Xx @ Xy ) )
= ( c_starc @ ( Xg @ Xx ) @ ( Xg @ Xy ) ) ) )
=> ! [Xx: b,Xy: b] :
( ( Xh @ ( c_starb @ Xx @ Xy ) )
= ( 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] :
( ( Xh @ ( Xf @ Xx ) )
= ( Xg @ Xx ) )
& ! [Xy: b] :
? [Xx: a] :
( ( Xf @ Xx )
= Xy )
& ! [Xx: a,Xy: a] :
( ( Xf @ ( c_stara @ Xx @ Xy ) )
= ( c_starb @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( Xg @ ( c_stara @ Xx @ Xy ) )
= ( c_starc @ ( Xg @ Xx ) @ ( Xg @ Xy ) ) ) )
=> ! [Xx: b,Xy: b] :
( ( Xh @ ( c_starb @ Xx @ Xy ) )
= ( c_starc @ ( Xh @ Xx ) @ ( Xh @ Xy ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY12: a > c,SY13: b > c] :
( ( ! [SY14: a] :
( ( SY13 @ ( sK1_Xf @ SY14 ) )
= ( SY12 @ SY14 ) )
& ! [SY15: b] :
? [SY16: a] :
( ( sK1_Xf @ SY16 )
= SY15 )
& ! [SY17: a,SY18: a] :
( ( sK1_Xf @ ( c_stara @ SY17 @ SY18 ) )
= ( c_starb @ ( sK1_Xf @ SY17 ) @ ( sK1_Xf @ SY18 ) ) )
& ! [Xx: a,Xy: a] :
( ( SY12 @ ( c_stara @ Xx @ Xy ) )
= ( c_starc @ ( SY12 @ Xx ) @ ( SY12 @ Xy ) ) ) )
=> ! [Xx: b,Xy: b] :
( ( SY13 @ ( c_starb @ Xx @ Xy ) )
= ( c_starc @ ( SY13 @ Xx ) @ ( SY13 @ Xy ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY23: b > c] :
( ( ! [SY24: a] :
( ( SY23 @ ( sK1_Xf @ SY24 ) )
= ( sK2_SY12 @ SY24 ) )
& ! [SY15: b] :
? [SY16: a] :
( ( sK1_Xf @ SY16 )
= SY15 )
& ! [SY17: a,SY18: a] :
( ( sK1_Xf @ ( c_stara @ SY17 @ SY18 ) )
= ( c_starb @ ( sK1_Xf @ SY17 ) @ ( sK1_Xf @ SY18 ) ) )
& ! [SY29: a,SY30: a] :
( ( sK2_SY12 @ ( c_stara @ SY29 @ SY30 ) )
= ( c_starc @ ( sK2_SY12 @ SY29 ) @ ( sK2_SY12 @ SY30 ) ) ) )
=> ! [Xx: b,Xy: b] :
( ( SY23 @ ( c_starb @ Xx @ Xy ) )
= ( c_starc @ ( SY23 @ Xx ) @ ( SY23 @ Xy ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ! [SY33: a] :
( ( sK3_SY23 @ ( sK1_Xf @ SY33 ) )
= ( sK2_SY12 @ SY33 ) )
& ! [SY15: b] :
? [SY16: a] :
( ( sK1_Xf @ SY16 )
= SY15 )
& ! [SY17: a,SY18: a] :
( ( sK1_Xf @ ( c_stara @ SY17 @ SY18 ) )
= ( c_starb @ ( sK1_Xf @ SY17 ) @ ( sK1_Xf @ SY18 ) ) )
& ! [SY29: a,SY30: a] :
( ( sK2_SY12 @ ( c_stara @ SY29 @ SY30 ) )
= ( c_starc @ ( sK2_SY12 @ SY29 ) @ ( sK2_SY12 @ SY30 ) ) ) )
=> ! [SY40: b,SY41: b] :
( ( sK3_SY23 @ ( c_starb @ SY40 @ SY41 ) )
= ( c_starc @ ( sK3_SY23 @ SY40 ) @ ( sK3_SY23 @ SY41 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY33: a] :
( ( sK3_SY23 @ ( sK1_Xf @ SY33 ) )
= ( sK2_SY12 @ SY33 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY15: b] :
? [SY16: a] :
( ( sK1_Xf @ SY16 )
= SY15 ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ! [SY17: a,SY18: a] :
( ( sK1_Xf @ ( c_stara @ SY17 @ SY18 ) )
= ( c_starb @ ( sK1_Xf @ SY17 ) @ ( sK1_Xf @ SY18 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(10,plain,
( ( ! [SY29: a,SY30: a] :
( ( sK2_SY12 @ ( c_stara @ SY29 @ SY30 ) )
= ( c_starc @ ( sK2_SY12 @ SY29 ) @ ( sK2_SY12 @ SY30 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(11,plain,
( ( ! [SY40: b,SY41: b] :
( ( sK3_SY23 @ ( c_starb @ SY40 @ SY41 ) )
= ( c_starc @ ( sK3_SY23 @ SY40 ) @ ( sK3_SY23 @ SY41 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(12,plain,
( ( ~ ! [SY40: b,SY41: b] :
( ( sK3_SY23 @ ( c_starb @ SY40 @ SY41 ) )
= ( c_starc @ ( sK3_SY23 @ SY40 ) @ ( sK3_SY23 @ SY41 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(13,plain,
( ( ( ( sK3_SY23 @ ( c_starb @ sK4_SY40 @ sK5_SY42 ) )
!= ( c_starc @ ( sK3_SY23 @ sK4_SY40 ) @ ( sK3_SY23 @ sK5_SY42 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(14,plain,
( ( ! [SY15: b] :
( ( sK1_Xf @ ( sK6_SY16 @ SY15 ) )
= SY15 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(15,plain,
( ( ! [SY29: a,SY30: a] :
( ( sK2_SY12 @ ( c_stara @ SY29 @ SY30 ) )
= ( c_starc @ ( sK2_SY12 @ SY29 ) @ ( sK2_SY12 @ SY30 ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
( ( ! [SY17: a,SY18: a] :
( ( sK1_Xf @ ( c_stara @ SY17 @ SY18 ) )
= ( c_starb @ ( sK1_Xf @ SY17 ) @ ( sK1_Xf @ SY18 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(17,plain,
( ( ! [SY15: b] :
( ( sK1_Xf @ ( sK6_SY16 @ SY15 ) )
= SY15 ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [SY33: a] :
( ( sK3_SY23 @ ( sK1_Xf @ SY33 ) )
= ( sK2_SY12 @ SY33 ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(19,plain,
( ( ( ( sK3_SY23 @ ( c_starb @ sK4_SY40 @ sK5_SY42 ) )
!= ( c_starc @ ( sK3_SY23 @ sK4_SY40 ) @ ( sK3_SY23 @ sK5_SY42 ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(20,plain,
! [SV1: a] :
( ( ! [SY43: a] :
( ( sK2_SY12 @ ( c_stara @ SV1 @ SY43 ) )
= ( c_starc @ ( sK2_SY12 @ SV1 ) @ ( sK2_SY12 @ SY43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV2: a] :
( ( ! [SY44: a] :
( ( sK1_Xf @ ( c_stara @ SV2 @ SY44 ) )
= ( c_starb @ ( sK1_Xf @ SV2 ) @ ( sK1_Xf @ SY44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(22,plain,
! [SV3: b] :
( ( ( sK1_Xf @ ( sK6_SY16 @ SV3 ) )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(23,plain,
! [SV4: a] :
( ( ( sK3_SY23 @ ( sK1_Xf @ SV4 ) )
= ( sK2_SY12 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(24,plain,
( ( ( sK3_SY23 @ ( c_starb @ sK4_SY40 @ sK5_SY42 ) )
= ( c_starc @ ( sK3_SY23 @ sK4_SY40 ) @ ( sK3_SY23 @ sK5_SY42 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(25,plain,
! [SV5: a,SV1: a] :
( ( ( sK2_SY12 @ ( c_stara @ SV1 @ SV5 ) )
= ( c_starc @ ( sK2_SY12 @ SV1 ) @ ( sK2_SY12 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(26,plain,
! [SV6: a,SV2: a] :
( ( ( sK1_Xf @ ( c_stara @ SV2 @ SV6 ) )
= ( c_starb @ ( sK1_Xf @ SV2 ) @ ( sK1_Xf @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(27,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[22,26,25,24,23]) ).
thf(28,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG298^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n017.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 : 600
% 0.13/0.34 % DateTime : Thu Jun 9 01:43:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (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)..
% 0.13/0.39
% 0.13/0.39 ********************************
% 0.13/0.39 * All subproblems solved! *
% 0.13/0.39 ********************************
% 0.13/0.39 % 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:27,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.39
% 0.13/0.39 %**** Beginning of derivation protocol ****
% 0.13/0.39 % SZS output start CNFRefutation
% See solution above
% 0.13/0.39
% 0.13/0.39 %**** End of derivation protocol ****
% 0.13/0.39 %**** no. of clauses in derivation: 28 ****
% 0.13/0.39 %**** clause counter: 27 ****
% 0.13/0.39
% 0.13/0.39 % 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:27,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------