%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET855-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.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 : Fri Sep 25 02:44:09 PM UTC 2026
% Result : Unsatisfiable 14.36s 2.17s
% Output : Proof 14.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 36 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f301,axiom,
( V_A = V_B
| c_less(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetI_0) ).
fof(f301_nnf,plain,
! [V_A,V_B,T_a] :
( V_A = V_B
| c_less(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) ),
inference(nnf_transformation,[status(thm)],[f301]) ).
fof(f301_sk,plain,
! [V_A,V_B,T_a] :
( V_A = V_B
| c_less(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) ),
inference(skolemisation,[status(esa)],[f301_nnf]) ).
cnf(c301,plain,
( X0 = X1
| c_less(X0,X1,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f301_sk]) ).
cnf(f1368,negated_conjecture,
c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1368_nnf,plain,
c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
inference(nnf_transformation,[status(thm)],[f1368]) ).
cnf(c1368,plain,
c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f1368_nnf]) ).
cnf(p948,plain,
( v_n = c_Union(v_Y,tc_set(t_a))
| c_less(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[c301,c1368]) ).
cnf(f299,axiom,
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_less(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetE_0) ).
fof(f299_nnf,plain,
! [V_A,V_B,T_a] :
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_less(V_A,V_B,tc_set(T_a)) ),
inference(nnf_transformation,[status(thm)],[f299]) ).
fof(f299_sk,plain,
! [V_A,V_B,T_a] :
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_less(V_A,V_B,tc_set(T_a)) ),
inference(skolemisation,[status(esa)],[f299_nnf]) ).
cnf(c299,plain,
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_less(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f299_sk]) ).
cnf(p964,plain,
( ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a)))
| v_n = c_Union(v_Y,tc_set(t_a)) ),
inference(resolution,[status(thm)],[p948,c299]) ).
cnf(f1369,negated_conjecture,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1369_nnf,plain,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
inference(nnf_transformation,[status(thm)],[f1369]) ).
cnf(c1369,plain,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f1369_nnf]) ).
cnf(p967,plain,
v_n = c_Union(v_Y,tc_set(t_a)),
inference(resolution,[status(thm)],[p964,c1369]) ).
cnf(f1370,negated_conjecture,
v_n != c_Union(v_Y,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1370_nnf,plain,
v_n != c_Union(v_Y,tc_set(t_a)),
inference(nnf_transformation,[status(thm)],[f1370]) ).
fof(f1370_sk,plain,
v_n != c_Union(v_Y,tc_set(t_a)),
inference(skolemisation,[status(esa)],[f1370_nnf]) ).
cnf(c1370,plain,
v_n != c_Union(v_Y,tc_set(t_a)),
inference(cnf_transformation,[status(esa)],[f1370_sk]) ).
cnf(p969,plain,
$false,
inference(resolution,[status(thm)],[p967,c1370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET855-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Thu Sep 24 12:15:04 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 14.36/2.17 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.36/2.17 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------