%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO216^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:07:51 AM UTC 2026
% Result : Theorem 0.08s 0.23s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 38 ( 24 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 74 ( 2 ~; 0 |; 0 &; 72 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 20 ^; 13 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_b,type,
b: $tType ).
thf(tp_sK1_X,type,
sK1_X: b > b ).
thf(tp_sK2_SY5,type,
sK2_SY5: b > b ).
thf(tp_sK3_SY9,type,
sK3_SY9: b > b ).
thf(tp_sK4_SV1,type,
sK4_SV1: b ).
thf(1,conjecture,
! [X: b > b,Y: b > b,Z: b > b] :
( ( ^ [W: b] : ( X @ ( Y @ ( Z @ W ) ) ) )
= ( ^ [W: b] : ( X @ ( Y @ ( Z @ W ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM107_pme) ).
thf(2,negated_conjecture,
( ( ! [X: b > b,Y: b > b,Z: b > b] :
( ( ^ [W: b] : ( X @ ( Y @ ( Z @ W ) ) ) )
= ( ^ [W: b] : ( X @ ( Y @ ( Z @ W ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: b > b,Y: b > b,Z: b > b] :
( ( ^ [W: b] : ( X @ ( Y @ ( Z @ W ) ) ) )
= ( ^ [W: b] : ( X @ ( Y @ ( Z @ W ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY5: b > b,SY6: b > b] :
( ( ^ [SY7: b] : ( sK1_X @ ( SY5 @ ( SY6 @ SY7 ) ) ) )
= ( ^ [SY8: b] : ( sK1_X @ ( SY5 @ ( SY6 @ SY8 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY9: b > b] :
( ( ^ [SY10: b] : ( sK1_X @ ( sK2_SY5 @ ( SY9 @ SY10 ) ) ) )
= ( ^ [SY11: b] : ( sK1_X @ ( sK2_SY5 @ ( SY9 @ SY11 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ^ [SY12: b] : ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SY12 ) ) ) )
= ( ^ [SY13: b] : ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SY13 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ( ^ [SY12: b] : ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SY12 ) ) ) )
!= ( ^ [SY13: b] : ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SY13 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ( ^ [SY12: b] : ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SY12 ) ) ) )
!= ( ^ [SY13: b] : ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SY13 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(9,plain,
( ( ( ^ [SY12: b] : ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SY12 ) ) ) )
= ( ^ [SY13: b] : ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SY13 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SV1: b] :
( ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SV1 ) ) )
= ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SV1 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[9]) ).
thf(11,plain,
( ( ( ^ [SY12: b] : ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SY12 ) ) ) )
= ( ^ [SY13: b] : ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ SY13 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[9]) ).
thf(12,plain,
( ( ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ sK4_SV1 ) ) )
= ( sK1_X @ ( sK2_SY5 @ ( sK3_SY9 @ sK4_SV1 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(13,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,12]) ).
thf(14,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO216^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 17:33:07 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.23
% 0.08/0.23 No.of.Axioms: 0
% 0.08/0.23
% 0.08/0.23 Length.of.Defs: 0
% 0.08/0.23
% 0.08/0.23 Contains.Choice.Funs: false
% 0.08/0.23
% 0.08/0.23 ********************************
% 0.08/0.23 * All subproblems solved! *
% 0.08/0.23 ********************************
% 0.08/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:13,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.08/0.23
% 0.08/0.23 %**** Beginning of derivation protocol ****
% 0.08/0.23 % SZS output start CNFRefutation
% See solution above
% 0.08/0.23
% 0.08/0.23 %**** End of derivation protocol ****
% 0.08/0.23 %**** no. of clauses in derivation: 14 ****
% 0.08/0.23 %**** clause counter: 13 ****
% 0.08/0.23
% 0.08/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:13,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------