%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ063-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 02:32:01 PM UTC 2026
% Result : Unsatisfiable 5.20s 6.15s
% Output : Proof 5.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 4 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,axiom,
c_union(c_emptyset,V_y,T_a) = V_y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).
fof(f2_nnf,plain,
! [V_y,T_a] : c_union(c_emptyset,V_y,T_a) = V_y,
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [V_y,T_a] : c_union(c_emptyset,V_y,T_a) = V_y,
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
c_union(c_emptyset,X0,X1) = X0,
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t0,plain,
c_union(c_emptyset,X1,X2) = X1,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t2,plain,
c_union(c_emptyset,X1,X2) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(f0,negated_conjecture,
c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f0_nnf,plain,
c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(t1,plain,
c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t3,plain,
c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(f1,negated_conjecture,
~ c_in(c_union(c_emptyset,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1_nnf,plain,
~ c_in(c_union(c_emptyset,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
~ c_in(c_union(c_emptyset,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
~ c_in(c_union(c_emptyset,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(goal_0,negated_conjecture,
c_in(c_union(c_emptyset,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) != true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(g0_0,plain,
c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) != true,
inference(rw,[status(thm)],[goal_0,t2]) ).
cnf(g0_1,plain,
true != true,
inference(rw,[status(thm)],[g0_0,t3]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ063-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.37 % Computer : n005.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Thu Sep 24 06:52:26 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.20/6.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.20/6.15 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------