%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYN072+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 11:02:52 AM UTC 2026
% Result : Theorem 0.08s 0.22s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 74 ( 38 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 25 ( 6 ~; 6 |; 0 &; 13 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 7 con; 0-2 aty)
% Number of variables : 13 ( 0 ^; 9 !; 4 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_big_p,type,
big_p: $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_X,type,
sK2_X: $i ).
thf(tp_sK3_SY4,type,
sK3_SY4: $i ).
thf(1,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_4) ).
thf(2,axiom,
big_p @ b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_3) ).
thf(3,axiom,
big_p @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_2) ).
thf(4,axiom,
? [X: $i,Y: $i] :
! [Z: $i] :
( ( Z = X )
| ( Z = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_1) ).
thf(5,conjecture,
! [X: $i] : ( big_p @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49) ).
thf(6,negated_conjecture,
( ( ! [X: $i] : ( big_p @ X ) )
= $false ),
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
( ( ! [X: $i] : ( big_p @ X ) )
= $false ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( a != b )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( big_p @ b )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,plain,
( ( big_p @ a )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(11,plain,
( ( ? [X: $i,Y: $i] :
! [Z: $i] :
( ( Z = X )
| ( Z = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(12,plain,
( ( big_p @ sK1_X )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(13,plain,
( ( ~ ( big_p @ sK1_X ) )
= $true ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(14,plain,
( ( a != b )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(15,plain,
( ( ! [SY6: $i] :
( ( SY6 = sK2_X )
| ( SY6 = sK3_SY4 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(16,plain,
( ( ! [SY6: $i] :
( ( SY6 = sK2_X )
| ( SY6 = sK3_SY4 ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(17,plain,
( ( big_p @ a )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(18,plain,
( ( big_p @ b )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(19,plain,
( ( a != b )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(20,plain,
( ( ~ ( big_p @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(21,plain,
! [SV1: $i] :
( ( ( SV1 = sK2_X )
| ( SV1 = sK3_SY4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(22,plain,
( ( a = b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( big_p @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: $i] :
( ( ( SV1 = sK2_X )
= $true )
| ( ( SV1 = sK3_SY4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[17,24,23,22,18]) ).
thf(26,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN072+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 17:16:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.22
% 0.08/0.22 No.of.Axioms: 4
% 0.08/0.22
% 0.08/0.22 Length.of.Defs: 0
% 0.08/0.22
% 0.08/0.22 Contains.Choice.Funs: false
% 0.08/0.22
% 0.08/0.22 ********************************
% 0.08/0.22 * All subproblems solved! *
% 0.08/0.22 ********************************
% 0.08/0.22 % SZS status Theorem for /export/starexec/sandbox2/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:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:25,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.22
% 0.08/0.22 %**** Beginning of derivation protocol ****
% 0.08/0.22 % SZS output start CNFRefutation
% See solution above
% 0.08/0.22
% 0.08/0.22 %**** End of derivation protocol ****
% 0.08/0.22 %**** no. of clauses in derivation: 26 ****
% 0.08/0.22 %**** clause counter: 25 ****
% 0.08/0.22
% 0.08/0.22 % SZS status Theorem for /export/starexec/sandbox2/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:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:25,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------