%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV818-1 : TPTP v9.3.1. Released v4.1.0.
% 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 : n014.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 10:59:12 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.18s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 38 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 33 ( 6 ~; 0 |; 0 &; 27 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 7 con; 0-3 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Code__Evaluation_Otracing,type,
c_Code__Evaluation_Otracing: $i > $i > $i > $i ).
thf(tp_t_a,type,
t_a: $i ).
thf(tp_v_s,type,
v_s: $i ).
thf(tp_v_t,type,
v_t: $i ).
thf(tp_v_ta,type,
v_ta: $i ).
thf(tp_v_x,type,
v_x: $i ).
thf(1,axiom,
( ( c_Code__Evaluation_Otracing @ v_s @ v_x @ t_a )
= v_x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tracing__def__raw_0) ).
thf(2,axiom,
! [V_s: $i,V_x: $i,T_a: $i] :
( ( c_Code__Evaluation_Otracing @ V_s @ V_x @ T_a )
= V_x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tracing__def_0) ).
thf(3,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(4,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,negated_conjecture,
! [V_s: $i] : ( V_s = v_ta ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(6,negated_conjecture,
v_s != v_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(7,plain,
$false = $false,
inference(unfold_def,[status(thm)],[4]) ).
thf(8,plain,
( ( ( c_Code__Evaluation_Otracing @ v_s @ v_x @ t_a )
= v_x )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( ! [V_s: $i,V_x: $i,T_a: $i] :
( ( c_Code__Evaluation_Otracing @ V_s @ V_x @ T_a )
= V_x ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,plain,
( ( ! [V_s: $i] : ( V_s = v_ta ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(11,plain,
( ( v_s != v_t )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(12,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( v_s != v_t )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ! [V_s: $i] : ( V_s = v_ta ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( ! [V_s: $i,V_x: $i,T_a: $i] :
( ( c_Code__Evaluation_Otracing @ V_s @ V_x @ T_a )
= V_x ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(16,plain,
( ( ( c_Code__Evaluation_Otracing @ v_s @ v_x @ t_a )
= v_x )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(17,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( v_s != v_t )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(19,plain,
! [SV1: $i] :
( ( SV1 = v_ta )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(20,plain,
! [SV2: $i] :
( ( ! [SY4: $i,SY5: $i] :
( ( c_Code__Evaluation_Otracing @ SV2 @ SY4 @ SY5 )
= SY4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(21,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(22,plain,
( ( v_s = v_t )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV3: $i,SV2: $i] :
( ( ! [SY6: $i] :
( ( c_Code__Evaluation_Otracing @ SV2 @ SV3 @ SY6 )
= SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV4: $i,SV3: $i,SV2: $i] :
( ( ( c_Code__Evaluation_Otracing @ SV2 @ SV3 @ SV4 )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(25,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[16,24,22,21,19]) ).
thf(26,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV818-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.16 % Computer : n014.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Tue Oct 6 16:45:37 UTC 2026
% 0.07/0.16 % CPUTime :
% 0.07/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18
% 0.07/0.18 No.of.Axioms: 4
% 0.07/0.18
% 0.07/0.18 Length.of.Defs: 0
% 0.07/0.18
% 0.07/0.18 Contains.Choice.Funs: false
% 0.07/0.18
% 0.07/0.18 ********************************
% 0.07/0.18 * All subproblems solved! *
% 0.07/0.18 ********************************
% 0.07/0.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:25,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.18
% 0.07/0.18 %**** Beginning of derivation protocol ****
% 0.07/0.18 % SZS output start CNFRefutation
% See solution above
% 0.07/0.19
% 0.07/0.19 %**** End of derivation protocol ****
% 0.07/0.19 %**** no. of clauses in derivation: 26 ****
% 0.07/0.19 %**** clause counter: 25 ****
% 0.07/0.19
% 0.07/0.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:4,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:25,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------