%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : CSR030+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:40:48 AM UTC 2026
% Result : Theorem 93.78s 12.17s
% Output : Proof 93.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR030+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 22:11:45 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 93.78/12.17 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 93.78/12.17
% 93.78/12.17 % SZS status Theorem
% 93.78/12.17
% 93.78/12.19 % SZS output start Proof
% 93.78/12.19 Axiom 1 (query80): mtvisible(c_tptp_member3393_mt) = true.
% 93.78/12.19 Axiom 2 (ax1_133): genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt) = true.
% 93.78/12.19 Axiom 3 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 93.78/12.19 Axiom 4 (ax1_451): ifeq(mtvisible(c_tptp_spindleheadmt), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true) = true.
% 93.78/12.19 Axiom 5 (ax1_302): ifeq(tptptypes_7_389(X, Y), true, tptptypes_6_388(Y, X), true) = true.
% 93.78/12.19 Axiom 6 (ax1_99): ifeq(tptptypes_6_388(X, Y), true, tptptypes_5_387(X, Y), true) = true.
% 93.78/12.19 Axiom 7 (ax1_1123): ifeq(mtvisible(X), true, ifeq(genlmt(X, Y), true, mtvisible(Y), true), true) = true.
% 93.78/12.19
% 93.78/12.19 Goal 1 (query80_1): tptptypes_5_387(X, c_pushingwithopenhand) = true.
% 93.78/12.19 The goal is true when:
% 93.78/12.19 X = c_tptpcol_16_4451
% 93.78/12.19
% 93.78/12.19 Proof:
% 93.78/12.19 tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand)
% 93.78/12.19 = { by axiom 3 (ifeq_axiom) R->L }
% 93.78/12.19 ifeq(true, true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 93.78/12.19 = { by axiom 5 (ax1_302) R->L }
% 93.78/12.19 ifeq(ifeq(tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 93.78/12.19 = { by axiom 3 (ifeq_axiom) R->L }
% 93.78/12.19 ifeq(ifeq(ifeq(true, true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 93.78/12.19 = { by axiom 7 (ax1_1123) R->L }
% 93.78/12.19 ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3393_mt), true, ifeq(genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt), true, mtvisible(c_tptp_spindleheadmt), true), true), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 93.78/12.19 = { by axiom 2 (ax1_133) }
% 93.78/12.19 ifeq(ifeq(ifeq(ifeq(mtvisible(c_tptp_member3393_mt), true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 93.78/12.19 = { by axiom 1 (query80) }
% 93.78/12.19 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 93.78/12.19 = { by axiom 3 (ifeq_axiom) }
% 93.78/12.19 ifeq(ifeq(ifeq(ifeq(true, true, mtvisible(c_tptp_spindleheadmt), true), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 93.78/12.19 = { by axiom 3 (ifeq_axiom) }
% 93.78/12.19 ifeq(ifeq(ifeq(mtvisible(c_tptp_spindleheadmt), true, tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true), true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 93.78/12.19 = { by axiom 4 (ax1_451) }
% 93.78/12.19 ifeq(ifeq(true, true, tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 93.78/12.19 = { by axiom 3 (ifeq_axiom) }
% 93.78/12.19 ifeq(tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true, tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand), true)
% 93.78/12.19 = { by axiom 6 (ax1_99) }
% 93.78/12.19 true
% 93.78/12.19 % SZS output end Proof
% 93.78/12.19
% 93.78/12.19 RESULT: Theorem (the conjecture is true).
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