%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : NUM017-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 12:09:49 PM UTC 2026
% Result : Unsatisfiable 4.75s 1.15s
% Output : Proof 5.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM017-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40 % Computer : n019.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 18:40:03 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.75/1.15 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
% 4.75/1.15
% 4.75/1.15 % SZS status Unsatisfiable
% 4.75/1.15
% 5.80/1.21 % SZS output start Proof
% 5.80/1.21 Axiom 1 (a_is_prime): prime(a) = true.
% 5.80/1.21 Axiom 2 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 5.80/1.21 Axiom 3 (ifeq_axiom): ifeq2(X, X, Y, Z) = Y.
% 5.80/1.21 Axiom 4 (closure_of_product): product(X, Y, multiply(X, Y)) = true.
% 5.80/1.21 Axiom 5 (product_divisible_by_operand): ifeq(product(X, Y, Z), true, divides(X, Z), true) = true.
% 5.80/1.21 Axiom 6 (product_commutativity): ifeq(product(X, Y, Z), true, product(Y, X, Z), true) = true.
% 5.80/1.21 Axiom 7 (divides_implies_product): ifeq(divides(X, Y), true, product(X, second_divided_by_1st(X, Y), Y), true) = true.
% 5.80/1.21 Axiom 8 (well_defined_product): ifeq2(product(X, Y, Z), true, ifeq2(product(X, Y, W), true, Z, W), W) = W.
% 5.80/1.21 Axiom 9 (product_left_cancellation): ifeq2(product(X, Y, Z), true, ifeq2(product(X, W, Z), true, W, Y), Y) = Y.
% 5.80/1.21 Axiom 10 (primes_lemma1): ifeq(prime(X), true, ifeq(divides(X, Y), true, ifeq(product(Z, Z, Y), true, divides(X, Z), true), true), true) = true.
% 5.80/1.21 Axiom 11 (product_associativity2): ifeq(product(X, Y, Z), true, ifeq(product(Y, W, V), true, ifeq(product(Z, W, U), true, product(X, V, U), true), true), true) = true.
% 5.80/1.21
% 5.80/1.21 Lemma 12: ifeq2(product(X, Y, Z), true, multiply(X, Y), Z) = Z.
% 5.80/1.21 Proof:
% 5.80/1.21 ifeq2(product(X, Y, Z), true, multiply(X, Y), Z)
% 5.80/1.21 = { by axiom 3 (ifeq_axiom) R->L }
% 5.80/1.21 ifeq2(true, true, ifeq2(product(X, Y, Z), true, multiply(X, Y), Z), Z)
% 5.80/1.21 = { by axiom 4 (closure_of_product) R->L }
% 5.80/1.21 ifeq2(product(X, Y, multiply(X, Y)), true, ifeq2(product(X, Y, Z), true, multiply(X, Y), Z), Z)
% 5.80/1.21 = { by axiom 8 (well_defined_product) }
% 5.80/1.21 Z
% 5.80/1.21
% 5.80/1.21 Lemma 13: multiply(X, Y) = multiply(Y, X).
% 5.80/1.21 Proof:
% 5.80/1.21 multiply(X, Y)
% 5.80/1.21 = { by lemma 12 R->L }
% 5.80/1.21 ifeq2(product(Y, X, multiply(X, Y)), true, multiply(Y, X), multiply(X, Y))
% 5.80/1.21 = { by axiom 2 (ifeq_axiom) R->L }
% 5.80/1.21 ifeq2(ifeq(true, true, product(Y, X, multiply(X, Y)), true), true, multiply(Y, X), multiply(X, Y))
% 5.80/1.21 = { by axiom 4 (closure_of_product) R->L }
% 5.80/1.21 ifeq2(ifeq(product(X, Y, multiply(X, Y)), true, product(Y, X, multiply(X, Y)), true), true, multiply(Y, X), multiply(X, Y))
% 5.80/1.21 = { by axiom 6 (product_commutativity) }
% 5.80/1.21 ifeq2(true, true, multiply(Y, X), multiply(X, Y))
% 5.80/1.21 = { by axiom 3 (ifeq_axiom) }
% 5.80/1.21 multiply(Y, X)
% 5.80/1.21
% 5.80/1.21 Lemma 14: second_divided_by_1st(X, multiply(X, Y)) = Y.
% 5.80/1.21 Proof:
% 5.80/1.21 second_divided_by_1st(X, multiply(X, Y))
% 5.80/1.21 = { by axiom 3 (ifeq_axiom) R->L }
% 5.80/1.21 ifeq2(true, true, second_divided_by_1st(X, multiply(X, Y)), Y)
% 5.80/1.21 = { by axiom 7 (divides_implies_product) R->L }
% 5.80/1.21 ifeq2(ifeq(divides(X, multiply(X, Y)), true, product(X, second_divided_by_1st(X, multiply(X, Y)), multiply(X, Y)), true), true, second_divided_by_1st(X, multiply(X, Y)), Y)
% 5.80/1.21 = { by axiom 2 (ifeq_axiom) R->L }
% 5.80/1.21 ifeq2(ifeq(ifeq(true, true, divides(X, multiply(X, Y)), true), true, product(X, second_divided_by_1st(X, multiply(X, Y)), multiply(X, Y)), true), true, second_divided_by_1st(X, multiply(X, Y)), Y)
% 5.80/1.21 = { by axiom 4 (closure_of_product) R->L }
% 5.80/1.21 ifeq2(ifeq(ifeq(product(X, Y, multiply(X, Y)), true, divides(X, multiply(X, Y)), true), true, product(X, second_divided_by_1st(X, multiply(X, Y)), multiply(X, Y)), true), true, second_divided_by_1st(X, multiply(X, Y)), Y)
% 5.80/1.22 = { by axiom 5 (product_divisible_by_operand) }
% 5.80/1.22 ifeq2(ifeq(true, true, product(X, second_divided_by_1st(X, multiply(X, Y)), multiply(X, Y)), true), true, second_divided_by_1st(X, multiply(X, Y)), Y)
% 5.80/1.22 = { by axiom 2 (ifeq_axiom) }
% 5.80/1.22 ifeq2(product(X, second_divided_by_1st(X, multiply(X, Y)), multiply(X, Y)), true, second_divided_by_1st(X, multiply(X, Y)), Y)
% 5.80/1.22 = { by axiom 3 (ifeq_axiom) R->L }
% 5.80/1.22 ifeq2(true, true, ifeq2(product(X, second_divided_by_1st(X, multiply(X, Y)), multiply(X, Y)), true, second_divided_by_1st(X, multiply(X, Y)), Y), Y)
% 5.80/1.22 = { by axiom 4 (closure_of_product) R->L }
% 5.80/1.22 ifeq2(product(X, Y, multiply(X, Y)), true, ifeq2(product(X, second_divided_by_1st(X, multiply(X, Y)), multiply(X, Y)), true, second_divided_by_1st(X, multiply(X, Y)), Y), Y)
% 5.80/1.22 = { by axiom 9 (product_left_cancellation) }
% 5.80/1.22 Y
% 5.80/1.22
% 5.80/1.22 Lemma 15: multiply(X, second_divided_by_1st(a, a)) = X.
% 5.80/1.22 Proof:
% 5.80/1.22 multiply(X, second_divided_by_1st(a, a))
% 5.80/1.22 = { by lemma 14 R->L }
% 5.80/1.22 second_divided_by_1st(a, multiply(a, multiply(X, second_divided_by_1st(a, a))))
% 5.80/1.22 = { by lemma 12 R->L }
% 5.80/1.22 second_divided_by_1st(a, ifeq2(product(X, multiply(a, second_divided_by_1st(a, a)), multiply(a, multiply(X, second_divided_by_1st(a, a)))), true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.22 = { by lemma 13 R->L }
% 5.80/1.22 second_divided_by_1st(a, ifeq2(product(X, multiply(a, second_divided_by_1st(a, a)), multiply(multiply(X, second_divided_by_1st(a, a)), a)), true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.22 = { by axiom 2 (ifeq_axiom) R->L }
% 5.80/1.22 second_divided_by_1st(a, ifeq2(ifeq(true, true, product(X, multiply(a, second_divided_by_1st(a, a)), multiply(multiply(X, second_divided_by_1st(a, a)), a)), true), true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.22 = { by axiom 4 (closure_of_product) R->L }
% 5.80/1.22 second_divided_by_1st(a, ifeq2(ifeq(product(multiply(X, second_divided_by_1st(a, a)), a, multiply(multiply(X, second_divided_by_1st(a, a)), a)), true, product(X, multiply(a, second_divided_by_1st(a, a)), multiply(multiply(X, second_divided_by_1st(a, a)), a)), true), true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.22 = { by lemma 13 R->L }
% 5.80/1.22 second_divided_by_1st(a, ifeq2(ifeq(product(multiply(X, second_divided_by_1st(a, a)), a, multiply(multiply(X, second_divided_by_1st(a, a)), a)), true, product(X, multiply(second_divided_by_1st(a, a), a), multiply(multiply(X, second_divided_by_1st(a, a)), a)), true), true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.22 = { by lemma 13 R->L }
% 5.80/1.22 second_divided_by_1st(a, ifeq2(ifeq(product(multiply(second_divided_by_1st(a, a), X), a, multiply(multiply(X, second_divided_by_1st(a, a)), a)), true, product(X, multiply(second_divided_by_1st(a, a), a), multiply(multiply(X, second_divided_by_1st(a, a)), a)), true), true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.22 = { by axiom 2 (ifeq_axiom) R->L }
% 5.80/1.22 second_divided_by_1st(a, ifeq2(ifeq(true, true, ifeq(product(multiply(second_divided_by_1st(a, a), X), a, multiply(multiply(X, second_divided_by_1st(a, a)), a)), true, product(X, multiply(second_divided_by_1st(a, a), a), multiply(multiply(X, second_divided_by_1st(a, a)), a)), true), true), true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.22 = { by axiom 4 (closure_of_product) R->L }
% 5.80/1.22 second_divided_by_1st(a, ifeq2(ifeq(product(second_divided_by_1st(a, a), a, multiply(second_divided_by_1st(a, a), a)), true, ifeq(product(multiply(second_divided_by_1st(a, a), X), a, multiply(multiply(X, second_divided_by_1st(a, a)), a)), true, product(X, multiply(second_divided_by_1st(a, a), a), multiply(multiply(X, second_divided_by_1st(a, a)), a)), true), true), true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.22 = { by lemma 13 R->L }
% 5.80/1.22 second_divided_by_1st(a, ifeq2(ifeq(product(second_divided_by_1st(a, a), a, multiply(second_divided_by_1st(a, a), a)), true, ifeq(product(multiply(X, second_divided_by_1st(a, a)), a, multiply(multiply(X, second_divided_by_1st(a, a)), a)), true, product(X, multiply(second_divided_by_1st(a, a), a), multiply(multiply(X, second_divided_by_1st(a, a)), a)), true), true), true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.22 = { by axiom 2 (ifeq_axiom) R->L }
% 5.80/1.22 second_divided_by_1st(a, ifeq2(ifeq(true, true, ifeq(product(second_divided_by_1st(a, a), a, multiply(second_divided_by_1st(a, a), a)), true, ifeq(product(multiply(X, second_divided_by_1st(a, a)), a, multiply(multiply(X, second_divided_by_1st(a, a)), a)), true, product(X, multiply(second_divided_by_1st(a, a), a), multiply(multiply(X, second_divided_by_1st(a, a)), a)), true), true), true), true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.22 = { by axiom 4 (closure_of_product) R->L }
% 5.80/1.23 second_divided_by_1st(a, ifeq2(ifeq(product(X, second_divided_by_1st(a, a), multiply(X, second_divided_by_1st(a, a))), true, ifeq(product(second_divided_by_1st(a, a), a, multiply(second_divided_by_1st(a, a), a)), true, ifeq(product(multiply(X, second_divided_by_1st(a, a)), a, multiply(multiply(X, second_divided_by_1st(a, a)), a)), true, product(X, multiply(second_divided_by_1st(a, a), a), multiply(multiply(X, second_divided_by_1st(a, a)), a)), true), true), true), true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.23 = { by axiom 11 (product_associativity2) }
% 5.80/1.23 second_divided_by_1st(a, ifeq2(true, true, multiply(X, multiply(a, second_divided_by_1st(a, a))), multiply(a, multiply(X, second_divided_by_1st(a, a)))))
% 5.80/1.23 = { by axiom 3 (ifeq_axiom) }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, multiply(a, second_divided_by_1st(a, a))))
% 5.80/1.23 = { by axiom 3 (ifeq_axiom) R->L }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(true, true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by axiom 7 (divides_implies_product) R->L }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(ifeq(divides(a, a), true, product(a, second_divided_by_1st(a, a), a), true), true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by axiom 2 (ifeq_axiom) R->L }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(ifeq(ifeq(true, true, divides(a, a), true), true, product(a, second_divided_by_1st(a, a), a), true), true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by axiom 1 (a_is_prime) R->L }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(ifeq(ifeq(prime(a), true, divides(a, a), true), true, product(a, second_divided_by_1st(a, a), a), true), true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by axiom 2 (ifeq_axiom) R->L }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(ifeq(ifeq(prime(a), true, ifeq(true, true, divides(a, a), true), true), true, product(a, second_divided_by_1st(a, a), a), true), true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by axiom 5 (product_divisible_by_operand) R->L }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(ifeq(ifeq(prime(a), true, ifeq(ifeq(product(a, a, multiply(a, a)), true, divides(a, multiply(a, a)), true), true, divides(a, a), true), true), true, product(a, second_divided_by_1st(a, a), a), true), true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by axiom 4 (closure_of_product) }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(ifeq(ifeq(prime(a), true, ifeq(ifeq(true, true, divides(a, multiply(a, a)), true), true, divides(a, a), true), true), true, product(a, second_divided_by_1st(a, a), a), true), true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by axiom 2 (ifeq_axiom) }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(ifeq(ifeq(prime(a), true, ifeq(divides(a, multiply(a, a)), true, divides(a, a), true), true), true, product(a, second_divided_by_1st(a, a), a), true), true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by axiom 2 (ifeq_axiom) R->L }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(ifeq(ifeq(prime(a), true, ifeq(divides(a, multiply(a, a)), true, ifeq(true, true, divides(a, a), true), true), true), true, product(a, second_divided_by_1st(a, a), a), true), true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by axiom 4 (closure_of_product) R->L }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(ifeq(ifeq(prime(a), true, ifeq(divides(a, multiply(a, a)), true, ifeq(product(a, a, multiply(a, a)), true, divides(a, a), true), true), true), true, product(a, second_divided_by_1st(a, a), a), true), true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by axiom 10 (primes_lemma1) }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(ifeq(true, true, product(a, second_divided_by_1st(a, a), a), true), true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by axiom 2 (ifeq_axiom) }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, ifeq2(product(a, second_divided_by_1st(a, a), a), true, multiply(a, second_divided_by_1st(a, a)), a)))
% 5.80/1.23 = { by lemma 12 }
% 5.80/1.23 second_divided_by_1st(a, multiply(X, a))
% 5.80/1.23 = { by lemma 13 R->L }
% 5.80/1.23 second_divided_by_1st(a, multiply(a, X))
% 5.80/1.23 = { by lemma 14 }
% 5.80/1.23 X
% 5.80/1.24
% 5.80/1.24 Goal 1 (prove_there_is_no_common_divisor): tuple(divides(X, b), divides(X, c)) = tuple(true, true).
% 5.80/1.24 The goal is true when:
% 5.80/1.24 X = second_divided_by_1st(a, a)
% 5.80/1.24
% 5.80/1.24 Proof:
% 5.80/1.24 tuple(divides(second_divided_by_1st(a, a), b), divides(second_divided_by_1st(a, a), c))
% 5.80/1.24 = { by lemma 15 R->L }
% 5.80/1.24 tuple(divides(second_divided_by_1st(a, a), multiply(b, second_divided_by_1st(a, a))), divides(second_divided_by_1st(a, a), c))
% 5.80/1.24 = { by axiom 2 (ifeq_axiom) R->L }
% 5.80/1.24 tuple(ifeq(true, true, divides(second_divided_by_1st(a, a), multiply(b, second_divided_by_1st(a, a))), true), divides(second_divided_by_1st(a, a), c))
% 5.80/1.24 = { by axiom 6 (product_commutativity) R->L }
% 5.80/1.24 tuple(ifeq(ifeq(product(b, second_divided_by_1st(a, a), multiply(b, second_divided_by_1st(a, a))), true, product(second_divided_by_1st(a, a), b, multiply(b, second_divided_by_1st(a, a))), true), true, divides(second_divided_by_1st(a, a), multiply(b, second_divided_by_1st(a, a))), true), divides(second_divided_by_1st(a, a), c))
% 5.80/1.24 = { by axiom 4 (closure_of_product) }
% 5.80/1.24 tuple(ifeq(ifeq(true, true, product(second_divided_by_1st(a, a), b, multiply(b, second_divided_by_1st(a, a))), true), true, divides(second_divided_by_1st(a, a), multiply(b, second_divided_by_1st(a, a))), true), divides(second_divided_by_1st(a, a), c))
% 5.80/1.24 = { by axiom 2 (ifeq_axiom) }
% 5.80/1.24 tuple(ifeq(product(second_divided_by_1st(a, a), b, multiply(b, second_divided_by_1st(a, a))), true, divides(second_divided_by_1st(a, a), multiply(b, second_divided_by_1st(a, a))), true), divides(second_divided_by_1st(a, a), c))
% 5.80/1.24 = { by axiom 5 (product_divisible_by_operand) }
% 5.80/1.24 tuple(true, divides(second_divided_by_1st(a, a), c))
% 5.80/1.24 = { by lemma 15 R->L }
% 5.80/1.24 tuple(true, divides(second_divided_by_1st(a, a), multiply(c, second_divided_by_1st(a, a))))
% 5.80/1.24 = { by axiom 2 (ifeq_axiom) R->L }
% 5.80/1.24 tuple(true, ifeq(true, true, divides(second_divided_by_1st(a, a), multiply(c, second_divided_by_1st(a, a))), true))
% 5.80/1.24 = { by axiom 6 (product_commutativity) R->L }
% 5.80/1.24 tuple(true, ifeq(ifeq(product(c, second_divided_by_1st(a, a), multiply(c, second_divided_by_1st(a, a))), true, product(second_divided_by_1st(a, a), c, multiply(c, second_divided_by_1st(a, a))), true), true, divides(second_divided_by_1st(a, a), multiply(c, second_divided_by_1st(a, a))), true))
% 5.80/1.24 = { by axiom 4 (closure_of_product) }
% 5.80/1.24 tuple(true, ifeq(ifeq(true, true, product(second_divided_by_1st(a, a), c, multiply(c, second_divided_by_1st(a, a))), true), true, divides(second_divided_by_1st(a, a), multiply(c, second_divided_by_1st(a, a))), true))
% 5.80/1.24 = { by axiom 2 (ifeq_axiom) }
% 5.80/1.24 tuple(true, ifeq(product(second_divided_by_1st(a, a), c, multiply(c, second_divided_by_1st(a, a))), true, divides(second_divided_by_1st(a, a), multiply(c, second_divided_by_1st(a, a))), true))
% 5.80/1.24 = { by axiom 5 (product_divisible_by_operand) }
% 5.80/1.24 tuple(true, true)
% 5.80/1.24 % SZS output end Proof
% 5.80/1.24
% 5.80/1.24 RESULT: Unsatisfiable (the axioms are contradictory).
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