%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : NUM782^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n010.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 10:35:12 AM UTC 2026
% Result : Theorem 0.09s 0.23s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 22 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 1 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_rat,type,
rat: $tType ).
thf(tp_x0,type,
x0: rat ).
thf(tp_y0,type,
y0: rat ).
thf(tp_z0,type,
z0: rat ).
thf(1,axiom,
y0 = z0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',j) ).
thf(2,axiom,
x0 = y0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
thf(3,conjecture,
x0 = z0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz80) ).
thf(4,negated_conjecture,
( ( x0 = z0 )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( x0 = z0 )
= $false ),
inference(unfold_def,[status(thm)],[4]) ).
thf(6,plain,
( ( y0 = z0 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( x0 = y0 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(8,plain,
( ( x0 != z0 )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(9,plain,
( ( x0 = y0 )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( y0 = z0 )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(11,plain,
( ( x0 != z0 )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(12,plain,
( ( x0 = z0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[9,12,10]) ).
thf(14,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM782^1 : TPTP v9.3.1. Released v3.7.0.
% 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
% 0.09/0.20 % Computer : n010.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Oct 6 13:38:55 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.23
% 0.09/0.23 No.of.Axioms: 2
% 0.09/0.23
% 0.09/0.23 Length.of.Defs: 0
% 0.09/0.23
% 0.09/0.23 Contains.Choice.Funs: false
% 0.09/0.23
% 0.09/0.23 ********************************
% 0.09/0.23 * All subproblems solved! *
% 0.09/0.23 ********************************
% 0.09/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:13,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.23
% 0.09/0.23 %**** Beginning of derivation protocol ****
% 0.09/0.23 % SZS output start CNFRefutation
% See solution above
% 0.09/0.23
% 0.09/0.23 %**** End of derivation protocol ****
% 0.09/0.23 %**** no. of clauses in derivation: 14 ****
% 0.09/0.23 %**** clause counter: 13 ****
% 0.09/0.23
% 0.09/0.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:2,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:13,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------