Twee---2.7.UNS-Ass.s

View TPTP
Problem Process solution in
SystemOnTSTP Download .tgz
%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : LCL014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.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 11:48:50 AM UTC 2026

% Result   : Unsatisfiable 28.87s 4.09s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n002.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 15:19:52 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.87/4.09  Command-line arguments: --no-flatten-goal
% 28.87/4.09  
% 28.87/4.09  % SZS status Unsatisfiable
% 28.87/4.09  
% 270.48/35.56  % SZS output start Proof
% 270.48/35.56  Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 270.48/35.56  Axiom 2 (condensed_detachment): ifeq(is_a_theorem(equivalent(X, Y)), true, ifeq(is_a_theorem(X), true, is_a_theorem(Y), true), true) = true.
% 272.57/35.81  Axiom 3 (wn): is_a_theorem(equivalent(equivalent(X, equivalent(Y, Z)), equivalent(Z, equivalent(X, Y)))) = true.
% 272.57/35.81  
% 272.57/35.81  Goal 1 (prove_xgf): is_a_theorem(equivalent(a, equivalent(equivalent(b, equivalent(a, c)), equivalent(c, b)))) = true.
% 272.57/35.81  Proof:
% 272.57/35.81    is_a_theorem(equivalent(a, equivalent(equivalent(b, equivalent(a, c)), equivalent(c, b))))
% 272.57/35.81  = { by axiom 1 (ifeq_axiom) R->L }
% 272.57/35.81    ifeq(true, true, is_a_theorem(equivalent(a, equivalent(equivalent(b, equivalent(a, c)), equivalent(c, b)))), true)
% 272.57/35.81  = { by axiom 2 (condensed_detachment) R->L }
% 272.57/35.81    ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a)))), true, ifeq(is_a_theorem(equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a))), true), true), true, is_a_theorem(equivalent(a, equivalent(equivalent(b, equivalent(a, c)), equivalent(c, b)))), true)
% 272.57/35.81  = { by axiom 3 (wn) }
% 272.57/35.81    ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a)))), true, ifeq(true, true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a))), true), true), true, is_a_theorem(equivalent(a, equivalent(equivalent(b, equivalent(a, c)), equivalent(c, b)))), true)
% 272.57/35.81  = { by axiom 1 (ifeq_axiom) }
% 272.57/35.81    ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a)))), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a))), true), true, is_a_theorem(equivalent(a, equivalent(equivalent(b, equivalent(a, c)), equivalent(c, b)))), true)
% 272.57/35.81  = { by axiom 1 (ifeq_axiom) R->L }
% 272.57/35.81    ifeq(ifeq(ifeq(true, true, is_a_theorem(equivalent(equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a)))), true), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a))), true), true, is_a_theorem(equivalent(a, equivalent(equivalent(b, equivalent(a, c)), equivalent(c, b)))), true)
% 272.57/35.81  = { by axiom 2 (condensed_detachment) R->L }
% 272.57/35.81    ifeq(ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))))))), true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a)))), true), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a))), true), true, is_a_theorem(equivalent(a, equivalent(equivalent(b, equivalent(a, c)), equivalent(c, b)))), true)
% 272.57/35.82  = { by axiom 1 (ifeq_axiom) R->L }
% 272.57/35.82    ifeq(ifeq(ifeq(ifeq(ifeq(true, true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))))))), true), true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a)))), true), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a))), true), true, is_a_theorem(equivalent(a, equivalent(equivalent(b, equivalent(a, c)), equivalent(c, b)))), true)
% 272.57/35.84  = { by axiom 2 (condensed_detachment) R->L }
% 272.57/35.85    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))))), true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))))))), true), true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a)))), true), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a))), true), true, is_a_theorem(equivalent(a, equivalent(equivalent(b, equivalent(a, c)), equivalent(c, b)))), true)
% 272.57/35.87  = { by axiom 1 (ifeq_axiom) R->L }
% 272.57/35.87    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))))), true), true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))))))), true), true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a)))), true), true, is_a_theorem(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(c, b), a))), true), true, is_a_theorem(equivalent(a, equivalent(equivalent(b, equivalent(a, c)), equivalent(c, b)))), true)
% 273.26/35.90  = { by axiom 2 (condensed_detachment) R->L }
% 273.26/35.94    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), equivalent(equivalent(equivalent(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))))), equivalent(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))))))), true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c)))))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(b, equivalent(a, c))))))), equivalent(equivalent(b, equivalent(a, c)), equivalent(equivalent(equivalent(equivalent(c, b), a), equivalent(equivalent(a, equivalent(c, b)), equivalent(b, equivalent(a, c)))), equivalent(equivalent(equivalent(equivalent(c, b), a), 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% 296.21/39.21  = { by axiom 1 (ifeq_axiom) R->L }
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% 297.97/39.47  = { by axiom 2 (condensed_detachment) R->L }
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% 300.07/39.75  Terminated
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