%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ140^2 : TPTP v9.3.1. Released v6.4.0.
% 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 : n018.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 10:37:01 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 21 unt; 0 typ; 1 def)
% Number of atoms : 126 ( 69 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 140 ( 29 ~; 20 |; 12 &; 79 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 38 !; 8 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_beverage,type,
beverage: $tType ).
thf(tp_syrup,type,
syrup: $tType ).
thf(tp_coffee,type,
coffee: beverage ).
thf(tp_coffee_mixture,type,
coffee_mixture: syrup > beverage ).
thf(tp_hot,type,
hot: beverage > $o ).
thf(tp_mix,type,
mix: beverage > syrup > beverage ).
thf(tp_sK1_S,type,
sK1_S: ( syrup > beverage ) > syrup ).
thf(coffee_mixture,definition,
( coffee_mixture
= ( mix @ coffee ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coffee_mixture_definition) ).
thf(1,axiom,
! [S: syrup] :
( ( ( coffee_mixture @ S )
= coffee )
& ( hot @ ( coffee_mixture @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coffee_and_syrup_is_hot_coffee) ).
thf(2,conjecture,
? [SyrupMixer: syrup > beverage] :
! [S: syrup] :
? [B: beverage] :
( ( B
= ( SyrupMixer @ S ) )
& ( B = coffee )
& ( hot @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_hot_coffee) ).
thf(3,negated_conjecture,
( ( ? [SyrupMixer: syrup > beverage] :
! [S: syrup] :
? [B: beverage] :
( ( B
= ( SyrupMixer @ S ) )
& ( B = coffee )
& ( hot @ B ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ? [SyrupMixer: syrup > beverage] :
! [S: syrup] :
? [B: beverage] :
( ( B
= ( SyrupMixer @ S ) )
& ( B = coffee )
& ( hot @ B ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3,coffee_mixture]) ).
thf(5,plain,
( ( ! [SY3: syrup] :
( ( ( mix @ coffee @ SY3 )
= coffee )
& ( hot @ ( mix @ coffee @ SY3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,coffee_mixture]) ).
thf(6,plain,
( ( ~ ? [SyrupMixer: syrup > beverage] :
! [S: syrup] :
? [B: beverage] :
( ( B
= ( SyrupMixer @ S ) )
& ( B = coffee )
& ( hot @ B ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [SyrupMixer: syrup > beverage,SY5: beverage] :
( ( SY5
!= ( SyrupMixer @ ( sK1_S @ SyrupMixer ) ) )
| ( SY5 != coffee )
| ~ ( hot @ SY5 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY3: syrup] :
( ( mix @ coffee @ SY3 )
= coffee )
& ! [SY3: syrup] : ( hot @ ( mix @ coffee @ SY3 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(9,plain,
( ( ! [SY3: syrup] :
( ( mix @ coffee @ SY3 )
= coffee )
& ! [SY3: syrup] : ( hot @ ( mix @ coffee @ SY3 ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SyrupMixer: syrup > beverage,SY5: beverage] :
( ( SY5
!= ( SyrupMixer @ ( sK1_S @ SyrupMixer ) ) )
| ( SY5 != coffee )
| ~ ( hot @ SY5 ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ~ ! [SX0: syrup] :
( ( mix @ coffee @ SX0 )
= coffee )
| ~ ! [SX0: syrup] : ( hot @ ( mix @ coffee @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,coffee_mixture]) ).
thf(12,plain,
! [SV1: syrup > beverage] :
( ( ! [SY6: beverage] :
( ( SY6
!= ( SV1 @ ( sK1_S @ SV1 ) ) )
| ( SY6 != coffee )
| ~ ( hot @ SY6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ! [SX0: syrup] :
( ( mix @ coffee @ SX0 )
= coffee )
| ~ ! [SX0: syrup] : ( hot @ ( mix @ coffee @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: syrup > beverage,SV2: beverage] :
( ( ( SV2
!= ( SV1 @ ( sK1_S @ SV1 ) ) )
| ( SV2 != coffee )
| ~ ( hot @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ! [SX0: syrup] :
( ( mix @ coffee @ SX0 )
= coffee ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ! [SX0: syrup] : ( hot @ ( mix @ coffee @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
! [SV1: syrup > beverage,SV2: beverage] :
( ( ( ( SV2
!= ( SV1 @ ( sK1_S @ SV1 ) ) )
| ( SV2 != coffee ) )
= $true )
| ( ( ~ ( hot @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [SX0: syrup] :
( ( mix @ coffee @ SX0 )
= coffee ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ! [SX0: syrup] : ( hot @ ( mix @ coffee @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV1: syrup > beverage,SV2: beverage] :
( ( ( SV2
!= ( SV1 @ ( sK1_S @ SV1 ) ) )
= $true )
| ( ( SV2 != coffee )
= $true )
| ( ( ~ ( hot @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(21,plain,
! [SV3: syrup] :
( ( ( mix @ coffee @ SV3 )
= coffee )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV4: syrup] :
( ( hot @ ( mix @ coffee @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: syrup > beverage,SV2: beverage] :
( ( ( SV2
= ( SV1 @ ( sK1_S @ SV1 ) ) )
= $false )
| ( ( SV2 != coffee )
= $true )
| ( ( ~ ( hot @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: syrup > beverage,SV2: beverage] :
( ( ( SV2 = coffee )
= $false )
| ( ( SV2
= ( SV1 @ ( sK1_S @ SV1 ) ) )
= $false )
| ( ( ~ ( hot @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(25,plain,
! [SV1: syrup > beverage,SV2: beverage] :
( ( ( hot @ SV2 )
= $false )
| ( ( SV2
= ( SV1 @ ( sK1_S @ SV1 ) ) )
= $false )
| ( ( SV2 = coffee )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(26,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,25,22]) ).
thf(27,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ140^2 : TPTP v9.3.1. Released v6.4.0.
% 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
% 0.08/0.21 % Computer : n018.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Oct 6 14:02:51 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.25
% 0.08/0.25 No.of.Axioms: 1
% 0.08/0.25
% 0.08/0.25 Length.of.Defs: 149
% 0.08/0.25
% 0.08/0.25 Contains.Choice.Funs: false
% 0.08/0.25
% 0.08/0.25 ********************************
% 0.08/0.25 * All subproblems solved! *
% 0.08/0.25 ********************************
% 0.08/0.25 % 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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:26,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.08/0.25
% 0.08/0.25 %**** Beginning of derivation protocol ****
% 0.08/0.25 % SZS output start CNFRefutation
% See solution above
% 0.08/0.25
% 0.08/0.25 %**** End of derivation protocol ****
% 0.08/0.25 %**** no. of clauses in derivation: 27 ****
% 0.08/0.25 %**** clause counter: 26 ****
% 0.08/0.25
% 0.08/0.25 % 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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:26,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------