TSTP Solution File: SYN083+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN083+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n003.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 08:23:28 EDT 2022
% Result : Theorem 0.20s 0.38s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 18 unt; 5 typ; 0 def)
% Number of atoms : 48 ( 31 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 170 ( 2 ~; 0 |; 0 &; 168 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 36 ( 0 ^ 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_f,type,
f: $i > $i > $i ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY7,type,
sK2_SY7: $i ).
thf(tp_sK3_SY10,type,
sK3_SY10: $i ).
thf(tp_sK4_SY12,type,
sK4_SY12: $i ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( f @ X @ ( f @ Y @ Z ) )
= ( f @ ( f @ X @ Y ) @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p61_1) ).
thf(2,conjecture,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ( f @ X @ ( f @ Y @ ( f @ Z @ W ) ) )
= ( f @ ( f @ ( f @ X @ Y ) @ Z ) @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel61) ).
thf(3,negated_conjecture,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ( f @ X @ ( f @ Y @ ( f @ Z @ W ) ) )
= ( f @ ( f @ ( f @ X @ Y ) @ Z ) @ W ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ( f @ X @ ( f @ Y @ ( f @ Z @ W ) ) )
= ( f @ ( f @ ( f @ X @ Y ) @ Z ) @ W ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( f @ X @ ( f @ Y @ Z ) )
= ( f @ ( f @ X @ Y ) @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(6,plain,
( ( ! [SY7: $i,SY8: $i,SY9: $i] :
( ( f @ sK1_X @ ( f @ SY7 @ ( f @ SY8 @ SY9 ) ) )
= ( f @ ( f @ ( f @ sK1_X @ SY7 ) @ SY8 ) @ SY9 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(7,plain,
( ( ! [SY10: $i,SY11: $i] :
( ( f @ sK1_X @ ( f @ sK2_SY7 @ ( f @ SY10 @ SY11 ) ) )
= ( f @ ( f @ ( f @ sK1_X @ sK2_SY7 ) @ SY10 ) @ SY11 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY12: $i] :
( ( f @ sK1_X @ ( f @ sK2_SY7 @ ( f @ sK3_SY10 @ SY12 ) ) )
= ( f @ ( f @ ( f @ sK1_X @ sK2_SY7 ) @ sK3_SY10 ) @ SY12 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(9,plain,
( ( ( f @ sK1_X @ ( f @ sK2_SY7 @ ( f @ sK3_SY10 @ sK4_SY12 ) ) )
= ( f @ ( f @ ( f @ sK1_X @ sK2_SY7 ) @ sK3_SY10 ) @ sK4_SY12 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(10,plain,
( ( ( ( f @ sK1_X @ ( f @ sK2_SY7 @ ( f @ sK3_SY10 @ sK4_SY12 ) ) )
!= ( f @ ( f @ ( f @ sK1_X @ sK2_SY7 ) @ sK3_SY10 ) @ sK4_SY12 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( f @ X @ ( f @ Y @ Z ) )
= ( f @ ( f @ X @ Y ) @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(12,plain,
( ( ( ( f @ sK1_X @ ( f @ sK2_SY7 @ ( f @ sK3_SY10 @ sK4_SY12 ) ) )
!= ( f @ ( f @ ( f @ sK1_X @ sK2_SY7 ) @ sK3_SY10 ) @ sK4_SY12 ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: $i] :
( ( ! [SY13: $i,SY14: $i] :
( ( f @ SV1 @ ( f @ SY13 @ SY14 ) )
= ( f @ ( f @ SV1 @ SY13 ) @ SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ( f @ sK1_X @ ( f @ sK2_SY7 @ ( f @ sK3_SY10 @ sK4_SY12 ) ) )
= ( f @ ( f @ ( f @ sK1_X @ sK2_SY7 ) @ sK3_SY10 ) @ sK4_SY12 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV2: $i,SV1: $i] :
( ( ! [SY15: $i] :
( ( f @ SV1 @ ( f @ SV2 @ SY15 ) )
= ( f @ ( f @ SV1 @ SV2 ) @ SY15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( f @ SV1 @ ( f @ SV2 @ SV3 ) )
= ( f @ ( f @ SV1 @ SV2 ) @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(17,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[14,16]) ).
thf(18,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN083+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n003.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 : Tue Jul 12 08:48:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.35
% 0.20/0.35 No.of.Axioms: 1
% 0.20/0.35
% 0.20/0.35 Length.of.Defs: 0
% 0.20/0.35
% 0.20/0.35 Contains.Choice.Funs: false
% 0.20/0.35 (rf:0,axioms:1,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.20/0.38 ********************************
% 0.20/0.38 * All subproblems solved! *
% 0.20/0.38 ********************************
% 0.20/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:17,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.38
% 0.20/0.38 %**** Beginning of derivation protocol ****
% 0.20/0.38 % SZS output start CNFRefutation
% See solution above
% 0.20/0.38
% 0.20/0.38 %**** End of derivation protocol ****
% 0.20/0.38 %**** no. of clauses in derivation: 18 ****
% 0.20/0.38 %**** clause counter: 17 ****
% 0.20/0.38
% 0.20/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:17,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------