%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : COL110-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 09:37:28 AM UTC 2026
% Result : Unsatisfiable 2.59s 0.59s
% Output : Proof 2.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL110-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.17 % Computer : n010.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 21:40:47 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.59/0.59 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
% 2.59/0.59
% 2.59/0.59 % SZS status Unsatisfiable
% 2.59/0.59
% 2.59/0.60 % SZS output start Proof
% 2.59/0.60 Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 2.59/0.60 Axiom 2 (cls_conjecture_2): c_in(c_Pair(v_x, v_yb, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)) = true.
% 2.59/0.60 Axiom 3 (cls_conjecture_3): c_in(c_Pair(v_z, v_wa, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)) = true.
% 2.59/0.60 Axiom 4 (cls_conjecture_8): ifeq(c_in(c_Pair(v_z, X, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(X, v_xaa(X), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true) = true.
% 2.59/0.60 Axiom 5 (cls_conjecture_7): ifeq(c_in(c_Pair(v_z, X, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(v_w, v_xaa(X), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true) = true.
% 2.59/0.60 Axiom 6 (cls_conjecture_6): ifeq(c_in(c_Pair(v_x, X, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(X, v_xb(X), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true) = true.
% 2.59/0.60 Axiom 7 (cls_conjecture_5): ifeq(c_in(c_Pair(v_x, X, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(v_ya, v_xb(X), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true) = true.
% 2.59/0.60 Axiom 8 (cls_Comb_Oparcontract_Ointros__4_0): ifeq(c_in(c_Pair(X, Y, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, ifeq(c_in(c_Pair(Z, W, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X, Z), c_Comb_Ocomb_Oop_A_D_D(Y, W), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true) = true.
% 2.59/0.60
% 2.59/0.60 Goal 1 (cls_conjecture_4): tuple(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), X, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya, v_w), X, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb))) = tuple(true, true).
% 2.59/0.60 The goal is true when:
% 2.59/0.60 X = c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa))
% 2.59/0.60
% 2.59/0.60 Proof:
% 2.59/0.60 tuple(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya, v_w), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)))
% 2.59/0.60 = { by axiom 1 (ifeq_axiom) R->L }
% 2.59/0.60 tuple(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), ifeq(true, true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya, v_w), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true))
% 2.59/0.60 = { by axiom 7 (cls_conjecture_5) R->L }
% 2.59/0.60 tuple(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), ifeq(ifeq(c_in(c_Pair(v_x, v_yb, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(v_ya, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya, v_w), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true))
% 2.59/0.60 = { by axiom 2 (cls_conjecture_2) }
% 2.59/0.60 tuple(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), ifeq(ifeq(true, true, c_in(c_Pair(v_ya, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya, v_w), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true))
% 2.59/0.60 = { by axiom 1 (ifeq_axiom) }
% 2.59/0.60 tuple(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), ifeq(c_in(c_Pair(v_ya, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya, v_w), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true))
% 2.59/0.60 = { by axiom 1 (ifeq_axiom) R->L }
% 2.59/0.60 tuple(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), ifeq(c_in(c_Pair(v_ya, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, ifeq(true, true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya, v_w), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true))
% 2.59/0.60 = { by axiom 5 (cls_conjecture_7) R->L }
% 2.59/0.60 tuple(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), ifeq(c_in(c_Pair(v_ya, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, ifeq(ifeq(c_in(c_Pair(v_z, v_wa, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(v_w, v_xaa(v_wa), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya, v_w), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true))
% 2.59/0.60 = { by axiom 3 (cls_conjecture_3) }
% 2.59/0.60 tuple(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), ifeq(c_in(c_Pair(v_ya, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, ifeq(ifeq(true, true, c_in(c_Pair(v_w, v_xaa(v_wa), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya, v_w), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true))
% 2.59/0.60 = { by axiom 1 (ifeq_axiom) }
% 2.59/0.60 tuple(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), ifeq(c_in(c_Pair(v_ya, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, ifeq(c_in(c_Pair(v_w, v_xaa(v_wa), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya, v_w), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true))
% 2.59/0.60 = { by axiom 8 (cls_Comb_Oparcontract_Ointros__4_0) }
% 2.59/0.60 tuple(c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true)
% 2.59/0.60 = { by axiom 1 (ifeq_axiom) R->L }
% 2.59/0.60 tuple(ifeq(true, true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true)
% 2.59/0.60 = { by axiom 6 (cls_conjecture_6) R->L }
% 2.59/0.61 tuple(ifeq(ifeq(c_in(c_Pair(v_x, v_yb, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(v_yb, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true)
% 2.59/0.61 = { by axiom 2 (cls_conjecture_2) }
% 2.59/0.61 tuple(ifeq(ifeq(true, true, c_in(c_Pair(v_yb, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true)
% 2.59/0.61 = { by axiom 1 (ifeq_axiom) }
% 2.59/0.61 tuple(ifeq(c_in(c_Pair(v_yb, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true)
% 2.59/0.61 = { by axiom 1 (ifeq_axiom) R->L }
% 2.59/0.61 tuple(ifeq(c_in(c_Pair(v_yb, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, ifeq(true, true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true), true)
% 2.59/0.61 = { by axiom 4 (cls_conjecture_8) R->L }
% 2.59/0.61 tuple(ifeq(c_in(c_Pair(v_yb, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, ifeq(ifeq(c_in(c_Pair(v_z, v_wa, tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(v_wa, v_xaa(v_wa), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true), true)
% 2.59/0.61 = { by axiom 3 (cls_conjecture_3) }
% 2.59/0.61 tuple(ifeq(c_in(c_Pair(v_yb, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, ifeq(ifeq(true, true, c_in(c_Pair(v_wa, v_xaa(v_wa), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true), true)
% 2.59/0.61 = { by axiom 1 (ifeq_axiom) }
% 2.59/0.61 tuple(ifeq(c_in(c_Pair(v_yb, v_xb(v_yb), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, ifeq(c_in(c_Pair(v_wa, v_xaa(v_wa), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true, c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_yb, v_wa), c_Comb_Ocomb_Oop_A_D_D(v_xb(v_yb), v_xaa(v_wa)), tc_Comb_Ocomb, tc_Comb_Ocomb), c_Comb_Oparcontract, tc_prod(tc_Comb_Ocomb, tc_Comb_Ocomb)), true), true), true)
% 2.59/0.61 = { by axiom 8 (cls_Comb_Oparcontract_Ointros__4_0) }
% 2.59/0.61 tuple(true, true)
% 2.59/0.61 % SZS output end Proof
% 2.59/0.61
% 2.59/0.61 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------