TSTP Solution File: COL011-1 by Twee---2.5.0
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% File : Twee---2.5.0
% Problem : COL011-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% Computer : n026.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 : Mon Jun 24 04:50:11 EDT 2024
% Result : Unsatisfiable 67.02s 8.82s
% Output : Proof 67.02s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL011-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : parallel-twee /export/starexec/sandbox/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jun 18 15:53:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 67.02/8.82 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 67.02/8.82
% 67.02/8.82 % SZS status Unsatisfiable
% 67.02/8.82
% 67.02/8.82 % SZS output start Proof
% 67.02/8.82 Axiom 1 (o_definition): apply(apply(o, X), Y) = apply(Y, apply(X, Y)).
% 67.02/8.82 Axiom 2 (q1_definition): apply(apply(apply(q1, X), Y), Z) = apply(X, apply(Z, Y)).
% 67.02/8.82
% 67.02/8.82 Goal 1 (prove_fixed_point): X = apply(combinator, X).
% 67.02/8.82 The goal is true when:
% 67.02/8.82 X = apply(apply(apply(q1, apply(apply(o, apply(q1, q1)), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1))))), X), apply(apply(apply(q1, q1), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1)))), apply(o, apply(q1, q1))))
% 67.02/8.82
% 67.02/8.82 Proof:
% 67.02/8.82 apply(apply(apply(q1, apply(apply(o, apply(q1, q1)), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1))))), X), apply(apply(apply(q1, q1), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1)))), apply(o, apply(q1, q1))))
% 67.02/8.82 = { by axiom 2 (q1_definition) }
% 67.02/8.82 apply(apply(apply(q1, apply(apply(o, apply(q1, q1)), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1))))), X), apply(q1, apply(apply(o, apply(q1, q1)), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1))))))
% 67.02/8.82 = { by axiom 2 (q1_definition) }
% 67.02/8.82 apply(apply(apply(o, apply(q1, q1)), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1)))), apply(apply(q1, apply(apply(o, apply(q1, q1)), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1))))), X))
% 67.02/8.82 = { by axiom 1 (o_definition) }
% 67.02/8.82 apply(apply(apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1))), apply(apply(q1, q1), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1))))), apply(apply(q1, apply(apply(o, apply(q1, q1)), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1))))), X))
% 67.02/8.82 = { by axiom 2 (q1_definition) }
% 67.02/8.82 apply(apply(apply(q1, combinator), apply(apply(apply(q1, q1), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1)))), apply(o, apply(q1, q1)))), apply(apply(q1, apply(apply(o, apply(q1, q1)), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1))))), X))
% 67.02/8.82 = { by axiom 2 (q1_definition) }
% 67.02/8.82 apply(combinator, apply(apply(apply(q1, apply(apply(o, apply(q1, q1)), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1))))), X), apply(apply(apply(q1, q1), apply(apply(q1, apply(q1, combinator)), apply(o, apply(q1, q1)))), apply(o, apply(q1, q1)))))
% 67.02/8.82 % SZS output end Proof
% 67.02/8.82
% 67.02/8.82 RESULT: Unsatisfiable (the axioms are contradictory).
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