TSTP Solution File: SET800+4 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET800+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n003.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 : 600s
% DateTime : Tue Jul 19 05:44:04 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET800+4 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jul 9 23:22:44 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 (* PROOF-FOUND *)
% 0.18/0.41 (* BEGIN-PROOF *)
% 0.18/0.41 % SZS output start Proof
% 0.18/0.41 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom
% 0.18/0.41 2. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom
% 0.18/0.41 3. (subset T_1 T_2) (-. (member T_0 T_2)) (member T_0 T_1) ### Extension/test/subset_inst 1 2
% 0.18/0.41 4. (-. (apply T_3 T_4 T_0)) (apply T_3 T_4 T_0) ### Axiom
% 0.18/0.41 5. (lower_bound T_4 T_3 T_2) (-. (apply T_3 T_4 T_0)) (member T_0 T_1) (subset T_1 T_2) ### Extension/test/lower_bound_inst 3 4
% 0.18/0.41 6. (greatest_lower_bound T_4 T_2 T_3 T_5) (subset T_1 T_2) (member T_0 T_1) (-. (apply T_3 T_4 T_0)) ### Extension/test/greatest_lower_bound 5 5 5
% 0.18/0.41 7. (greatest_lower_bound T_0 T_1 T_3 T_5) (-. (apply T_3 T_4 T_0)) (subset T_1 T_2) (greatest_lower_bound T_4 T_2 T_3 T_5) ### Extension/test/greatest_lower_bound 6 6 6
% 0.18/0.41 8. (-. (((greatest_lower_bound T_0 T_1 T_3 T_5) /\ (greatest_lower_bound T_4 T_2 T_3 T_5)) => (apply T_3 T_4 T_0))) (subset T_1 T_2) ### ConjTree 7
% 0.18/0.41 9. (-. (All M2, (((greatest_lower_bound T_0 T_1 T_3 T_5) /\ (greatest_lower_bound M2 T_2 T_3 T_5)) => (apply T_3 M2 T_0)))) (subset T_1 T_2) ### NotAllEx 8
% 0.18/0.41 10. (-. (All M1, (All M2, (((greatest_lower_bound M1 T_1 T_3 T_5) /\ (greatest_lower_bound M2 T_2 T_3 T_5)) => (apply T_3 M2 M1))))) (subset T_1 T_2) ### NotAllEx 9
% 0.18/0.41 11. (-. (((subset T_1 T_5) /\ ((subset T_2 T_5) /\ (subset T_1 T_2))) => (All M1, (All M2, (((greatest_lower_bound M1 T_1 T_3 T_5) /\ (greatest_lower_bound M2 T_2 T_3 T_5)) => (apply T_3 M2 M1)))))) ### ConjTree 10
% 0.18/0.41 12. (-. (All X2, (((subset T_1 T_5) /\ ((subset X2 T_5) /\ (subset T_1 X2))) => (All M1, (All M2, (((greatest_lower_bound M1 T_1 T_3 T_5) /\ (greatest_lower_bound M2 X2 T_3 T_5)) => (apply T_3 M2 M1))))))) ### NotAllEx 11
% 0.18/0.41 13. (-. (All X1, (All X2, (((subset X1 T_5) /\ ((subset X2 T_5) /\ (subset X1 X2))) => (All M1, (All M2, (((greatest_lower_bound M1 X1 T_3 T_5) /\ (greatest_lower_bound M2 X2 T_3 T_5)) => (apply T_3 M2 M1)))))))) ### NotAllEx 12
% 0.18/0.41 14. (-. ((order T_3 T_5) => (All X1, (All X2, (((subset X1 T_5) /\ ((subset X2 T_5) /\ (subset X1 X2))) => (All M1, (All M2, (((greatest_lower_bound M1 X1 T_3 T_5) /\ (greatest_lower_bound M2 X2 T_3 T_5)) => (apply T_3 M2 M1))))))))) ### NotImply 13
% 0.18/0.41 15. (-. (All E, ((order T_3 E) => (All X1, (All X2, (((subset X1 E) /\ ((subset X2 E) /\ (subset X1 X2))) => (All M1, (All M2, (((greatest_lower_bound M1 X1 T_3 E) /\ (greatest_lower_bound M2 X2 T_3 E)) => (apply T_3 M2 M1)))))))))) ### NotAllEx 14
% 0.18/0.41 16. (-. (All R, (All E, ((order R E) => (All X1, (All X2, (((subset X1 E) /\ ((subset X2 E) /\ (subset X1 X2))) => (All M1, (All M2, (((greatest_lower_bound M1 X1 R E) /\ (greatest_lower_bound M2 X2 R E)) => (apply R M2 M1))))))))))) ### NotAllEx 15
% 0.18/0.41 % SZS output end Proof
% 0.18/0.41 (* END-PROOF *)
%------------------------------------------------------------------------------