%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : KLE005+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n028.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 : Sun Jul 17 02:29:47 EDT 2022 % Result : Theorem 0.18s 0.43s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KLE005+1 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 16 08:31:11 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.43 % SZS status Theorem % 0.18/0.43 (* PROOF-FOUND *) % 0.18/0.43 (* BEGIN-PROOF *) % 0.18/0.43 % SZS output start Proof % 0.18/0.43 1. ((c (one)) != (zero)) ((c (one)) = (zero)) ### Axiom % 0.18/0.43 2. (-. (test (one))) ((c (one)) != (zero)) ### Extension/test/test_4 1 % 0.18/0.43 3. ((c (one)) != (c (one))) ### Refl(=) % 0.18/0.43 4. ((multiplication (c (one)) (one)) = (zero)) ((zero) != (multiplication (c (one)) (one))) ### Sym(=) % 0.18/0.43 5. ((multiplication (c (one)) (one)) = (zero)) ((zero) != (multiplication (c (one)) (one))) ### Sym(=) % 0.18/0.43 6. ((c (one)) != (c (one))) ### Refl(=) % 0.18/0.43 7. ((c (one)) != (zero)) ((multiplication (c (one)) (one)) = (c (one))) ((multiplication (c (one)) (one)) = (zero)) ### TransEq-sym 4 5 6 % 0.18/0.43 8. (complement (one) (c (one))) ((multiplication (c (one)) (one)) = (c (one))) ((c (one)) != (zero)) ### Extension/test/test_2 7 % 0.18/0.43 9. (((c (one)) = (c (one))) <=> (complement (one) (c (one)))) ((c (one)) != (zero)) ((multiplication (c (one)) (one)) = (c (one))) ### Equiv 3 8 % 0.18/0.43 10. ((test (one)) => (((c (one)) = (c (one))) <=> (complement (one) (c (one))))) ((multiplication (c (one)) (one)) = (c (one))) ((c (one)) != (zero)) ### Imply 2 9 % 0.18/0.43 11. (All X1, ((test (one)) => (((c (one)) = X1) <=> (complement (one) X1)))) ((c (one)) != (zero)) ((multiplication (c (one)) (one)) = (c (one))) ### All 10 % 0.18/0.43 12. (All X0, (All X1, ((test X0) => (((c X0) = X1) <=> (complement X0 X1))))) ((multiplication (c (one)) (one)) = (c (one))) ((c (one)) != (zero)) ### All 11 % 0.18/0.43 13. (All A, ((multiplication A (one)) = A)) ((c (one)) != (zero)) (All X0, (All X1, ((test X0) => (((c X0) = X1) <=> (complement X0 X1))))) ### All 12 % 0.18/0.43 % SZS output end Proof % 0.18/0.43 (* END-PROOF *) %------------------------------------------------------------------------------