%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV818-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:36:10 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 2 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 7 ( 7 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
tff(v_t_type,type,
v_t: $i ).
tff(v_s_type,type,
v_s: $i ).
tff(v_ta_type,type,
v_ta: $i ).
tff(1,plain,
( ( v_ta = v_t )
<=> ( v_t = v_ta ) ),
inference(commutativity,[status(thm)],[]) ).
tff(2,plain,
( ! [V_s: $i] : ( V_s = v_ta )
<=> ! [V_s: $i] : ( V_s = v_ta ) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
! [V_s: $i] : ( V_s = v_ta ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
tff(4,plain,
! [V_s: $i] : ( V_s = v_ta ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
! [V_s: $i] : ( V_s = v_ta ),
inference(skolemize,[status(sab)],[4]) ).
tff(6,plain,
( ~ ! [V_s: $i] : ( V_s = v_ta )
| ( v_s = v_ta ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(7,plain,
v_s = v_ta,
inference(unit_resolution,[status(thm)],[6,5]) ).
tff(8,plain,
( ( v_s = v_t )
<=> ( v_ta = v_t ) ),
inference(monotonicity,[status(thm)],[7]) ).
tff(9,plain,
( ( v_s = v_t )
<=> ( v_t = v_ta ) ),
inference(transitivity,[status(thm)],[8,1]) ).
tff(10,plain,
( ( v_t = v_ta )
<=> ( v_s = v_t ) ),
inference(symmetry,[status(thm)],[9]) ).
tff(11,plain,
( ~ ! [V_s: $i] : ( V_s = v_ta )
| ( v_t = v_ta ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(12,plain,
v_t = v_ta,
inference(unit_resolution,[status(thm)],[11,5]) ).
tff(13,plain,
v_s = v_t,
inference(modus_ponens,[status(thm)],[12,10]) ).
tff(14,plain,
( ( v_s != v_t )
<=> ( v_s != v_t ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,axiom,
v_s != v_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tff(16,plain,
v_s != v_t,
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
$false,
inference(unit_resolution,[status(thm)],[16,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV818-1 : TPTP v9.0.0. Released v4.1.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 10:55:05 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.19/0.36 % SZS status Unsatisfiable
% 0.19/0.36 % SZS output start Proof
% See solution above
% 0.19/0.36 % E exiting
%------------------------------------------------------------------------------