TSTP Solution File: KLE005+1 by SuperZenon---0.0.1
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- Process Solution
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% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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 *)
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