%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KLE076+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.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 : 300s
% DateTime : Sat Jun 21 05:12:59 AM UTC 2025
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE076+1 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 19 18:59:05 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % SZS status Theorem
% 0.13/0.38 % SZS output start Proof
% 0.13/0.38 tff(zero_type, type, (
% 0.13/0.38 zero: $i)).
% 0.13/0.38 tff(domain_type, type, (
% 0.13/0.38 domain: $i > $i)).
% 0.13/0.38 tff(multiplication_type, type, (
% 0.13/0.38 multiplication: ( $i * $i ) > $i)).
% 0.13/0.38 tff(tptp_fun_X0_0_type, type, (
% 0.13/0.38 tptp_fun_X0_0: $i)).
% 0.13/0.38 tff(1,plain,
% 0.13/0.38 ((domain(zero) = zero) <=> (domain(zero) = zero)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(2,axiom,(domain(zero) = zero), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax','domain4')).
% 0.13/0.38 tff(3,plain,
% 0.13/0.38 (domain(zero) = zero),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.13/0.38 tff(4,plain,
% 0.13/0.38 (^[A: $i] : refl((multiplication(A, zero) = zero) <=> (multiplication(A, zero) = zero))),
% 0.13/0.38 inference(bind,[status(th)],[])).
% 0.13/0.38 tff(5,plain,
% 0.13/0.38 (![A: $i] : (multiplication(A, zero) = zero) <=> ![A: $i] : (multiplication(A, zero) = zero)),
% 0.13/0.38 inference(quant_intro,[status(thm)],[4])).
% 0.13/0.38 tff(6,plain,
% 0.13/0.38 (![A: $i] : (multiplication(A, zero) = zero) <=> ![A: $i] : (multiplication(A, zero) = zero)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(7,axiom,(![A: $i] : (multiplication(A, zero) = zero)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax','right_annihilation')).
% 0.13/0.39 tff(8,plain,
% 0.13/0.39 (![A: $i] : (multiplication(A, zero) = zero)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.13/0.39 tff(9,plain,(
% 0.13/0.39 ![A: $i] : (multiplication(A, zero) = zero)),
% 0.13/0.39 inference(skolemize,[status(sab)],[8])).
% 0.13/0.39 tff(10,plain,
% 0.13/0.39 (![A: $i] : (multiplication(A, zero) = zero)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.13/0.39 tff(11,plain,
% 0.13/0.39 ((~![A: $i] : (multiplication(A, zero) = zero)) | (multiplication(X0!0, zero) = zero)),
% 0.13/0.39 inference(quant_inst,[status(thm)],[])).
% 0.13/0.39 tff(12,plain,
% 0.13/0.39 (multiplication(X0!0, zero) = zero),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.13/0.39 tff(13,plain,
% 0.13/0.39 (multiplication(X0!0, domain(zero)) = multiplication(X0!0, zero)),
% 0.13/0.39 inference(monotonicity,[status(thm)],[3])).
% 0.13/0.39 tff(14,plain,
% 0.13/0.39 (multiplication(X0!0, domain(zero)) = zero),
% 0.13/0.39 inference(transitivity,[status(thm)],[13, 12])).
% 0.13/0.39 tff(15,plain,
% 0.13/0.39 (domain(multiplication(X0!0, domain(zero))) = domain(zero)),
% 0.13/0.39 inference(monotonicity,[status(thm)],[14])).
% 0.13/0.39 tff(16,plain,
% 0.13/0.39 (domain(multiplication(X0!0, domain(zero))) = zero),
% 0.13/0.39 inference(transitivity,[status(thm)],[15, 3])).
% 0.13/0.39 tff(17,plain,
% 0.13/0.39 ((~![X0: $i] : (domain(multiplication(X0, domain(zero))) = zero)) <=> (~![X0: $i] : (domain(multiplication(X0, domain(zero))) = zero))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(18,axiom,(~![X0: $i] : (domain(multiplication(X0, domain(zero))) = zero)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 0.13/0.39 tff(19,plain,
% 0.13/0.39 (~![X0: $i] : (domain(multiplication(X0, domain(zero))) = zero)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.13/0.39 tff(20,plain,
% 0.13/0.39 (~![X0: $i] : (domain(multiplication(X0, domain(zero))) = zero)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[19, 17])).
% 0.13/0.39 tff(21,plain,
% 0.13/0.39 (~![X0: $i] : (domain(multiplication(X0, domain(zero))) = zero)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[20, 17])).
% 0.13/0.39 tff(22,plain,
% 0.13/0.39 (~![X0: $i] : (domain(multiplication(X0, domain(zero))) = zero)),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.13/0.39 tff(23,plain,(
% 0.13/0.39 ~(domain(multiplication(X0!0, domain(zero))) = zero)),
% 0.13/0.39 inference(skolemize,[status(sab)],[22])).
% 0.13/0.39 tff(24,plain,
% 0.13/0.39 ($false),
% 0.13/0.39 inference(unit_resolution,[status(thm)],[23, 16])).
% 0.13/0.39 % SZS output end Proof
% 0.13/0.39 % E exiting
%------------------------------------------------------------------------------