%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV392+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 05:32:21 AM UTC 2025
% Result : Theorem 0.18s 0.37s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV392+1 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.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 : 300
% 0.12/0.33 % DateTime : Fri Jun 20 09:45:09 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.18/0.37 % SZS status Theorem
% 0.18/0.37 % SZS output start Proof
% 0.18/0.37 tff(contains_slb_type, type, (
% 0.18/0.37 contains_slb: ( $i * $i ) > $o)).
% 0.18/0.37 tff(tptp_fun_W_2_type, type, (
% 0.18/0.37 tptp_fun_W_2: $i)).
% 0.18/0.37 tff(create_slb_type, type, (
% 0.18/0.37 create_slb: $i)).
% 0.18/0.37 tff(pair_in_list_type, type, (
% 0.18/0.37 pair_in_list: ( $i * $i * $i ) > $o)).
% 0.18/0.37 tff(tptp_fun_V_0_type, type, (
% 0.18/0.37 tptp_fun_V_0: $i)).
% 0.18/0.37 tff(tptp_fun_U_1_type, type, (
% 0.18/0.37 tptp_fun_U_1: $i)).
% 0.18/0.37 tff(remove_slb_type, type, (
% 0.18/0.37 remove_slb: ( $i * $i ) > $i)).
% 0.18/0.37 tff(1,plain,
% 0.18/0.37 ((~![U: $i, V: $i] : ((~pair_in_list(create_slb, U, V)) | ![W: $i] : ((~contains_slb(create_slb, W)) | (U = W) | pair_in_list(remove_slb(create_slb, W), U, V)))) <=> (~![U: $i, V: $i] : ((~pair_in_list(create_slb, U, V)) | ![W: $i] : ((~contains_slb(create_slb, W)) | (U = W) | pair_in_list(remove_slb(create_slb, W), U, V))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(2,plain,
% 0.18/0.37 ((~![U: $i, V: $i] : (pair_in_list(create_slb, U, V) => ![W: $i] : (contains_slb(create_slb, W) => (pair_in_list(remove_slb(create_slb, W), U, V) | (U = W))))) <=> (~![U: $i, V: $i] : ((~pair_in_list(create_slb, U, V)) | ![W: $i] : ((~contains_slb(create_slb, W)) | (U = W) | pair_in_list(remove_slb(create_slb, W), U, V))))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(3,axiom,(~![U: $i, V: $i] : (pair_in_list(create_slb, U, V) => ![W: $i] : (contains_slb(create_slb, W) => (pair_in_list(remove_slb(create_slb, W), U, V) | (U = W))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l28_co')).
% 0.18/0.37 tff(4,plain,
% 0.18/0.37 (~![U: $i, V: $i] : ((~pair_in_list(create_slb, U, V)) | ![W: $i] : ((~contains_slb(create_slb, W)) | (U = W) | pair_in_list(remove_slb(create_slb, W), U, V)))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.18/0.37 tff(5,plain,
% 0.18/0.37 (~![U: $i, V: $i] : ((~pair_in_list(create_slb, U, V)) | ![W: $i] : ((~contains_slb(create_slb, W)) | (U = W) | pair_in_list(remove_slb(create_slb, W), U, V)))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.18/0.37 tff(6,plain,
% 0.18/0.37 (~![U: $i, V: $i] : ((~pair_in_list(create_slb, U, V)) | ![W: $i] : ((~contains_slb(create_slb, W)) | (U = W) | pair_in_list(remove_slb(create_slb, W), U, V)))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.18/0.37 tff(7,plain,
% 0.18/0.37 (~![U: $i, V: $i] : ((~pair_in_list(create_slb, U, V)) | ![W: $i] : ((~contains_slb(create_slb, W)) | (U = W) | pair_in_list(remove_slb(create_slb, W), U, V)))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.18/0.37 tff(8,plain,
% 0.18/0.37 (~((~contains_slb(create_slb, W!2)) | (U!1 = W!2) | pair_in_list(remove_slb(create_slb, W!2), U!1, V!0))),
% 0.18/0.37 inference(and_elim,[status(thm)],[7])).
% 0.18/0.37 tff(9,plain,
% 0.18/0.37 (contains_slb(create_slb, W!2)),
% 0.18/0.37 inference(or_elim,[status(thm)],[8])).
% 0.18/0.37 tff(10,plain,
% 0.18/0.37 (^[U: $i] : refl((~contains_slb(create_slb, U)) <=> (~contains_slb(create_slb, U)))),
% 0.18/0.37 inference(bind,[status(th)],[])).
% 0.18/0.37 tff(11,plain,
% 0.18/0.37 (![U: $i] : (~contains_slb(create_slb, U)) <=> ![U: $i] : (~contains_slb(create_slb, U))),
% 0.18/0.37 inference(quant_intro,[status(thm)],[10])).
% 0.18/0.37 tff(12,plain,
% 0.18/0.37 (![U: $i] : (~contains_slb(create_slb, U)) <=> ![U: $i] : (~contains_slb(create_slb, U))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(13,axiom,(![U: $i] : (~contains_slb(create_slb, U))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax','ax20')).
% 0.18/0.37 tff(14,plain,
% 0.18/0.37 (![U: $i] : (~contains_slb(create_slb, U))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.18/0.37 tff(15,plain,(
% 0.18/0.37 ![U: $i] : (~contains_slb(create_slb, U))),
% 0.18/0.37 inference(skolemize,[status(sab)],[14])).
% 0.18/0.37 tff(16,plain,
% 0.18/0.37 (![U: $i] : (~contains_slb(create_slb, U))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.18/0.37 tff(17,plain,
% 0.18/0.37 ((~![U: $i] : (~contains_slb(create_slb, U))) | (~contains_slb(create_slb, W!2))),
% 0.18/0.37 inference(quant_inst,[status(thm)],[])).
% 0.18/0.37 tff(18,plain,
% 0.18/0.37 ($false),
% 0.18/0.37 inference(unit_resolution,[status(thm)],[17, 16, 9])).
% 0.18/0.37 % SZS output end Proof
% 0.18/0.37 % E exiting
%------------------------------------------------------------------------------