TSTP Solution File: HEN001-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n007.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 : Wed May 29 17:09:26 EDT 2024
% Result : Unsatisfiable 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : HEN001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 27 17:05:54 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.uQSlGqouS7/cvc5---1.0.5_2521.smt2
% 0.21/0.53 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.uQSlGqouS7/cvc5---1.0.5_2521.smt2
% 0.21/0.53 (assume a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero))))
% 0.21/0.53 (assume a1 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.quotient X Y tptp.zero)) (tptp.less_equal X Y))))
% 0.21/0.53 (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.quotient X Y Z)) (tptp.less_equal Z X))))
% 0.21/0.53 (assume a3 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (V5 $$unsorted)) (or (not (tptp.quotient X Y V1)) (not (tptp.quotient Y Z V2)) (not (tptp.quotient X Z V3)) (not (tptp.quotient V3 V2 V4)) (not (tptp.quotient V1 Z V5)) (tptp.less_equal V4 V5))))
% 0.21/0.53 (assume a4 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)))
% 0.21/0.53 (assume a5 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))
% 0.21/0.53 (assume a6 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)))
% 0.21/0.53 (assume a7 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.quotient X Y (tptp.divide X Y))))
% 0.21/0.53 (assume a8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.quotient X Y Z)) (not (tptp.quotient X Y W)) (= Z W))))
% 0.21/0.53 (assume a9 (not (tptp.quotient tptp.x tptp.identity tptp.zero)))
% 0.21/0.53 (step t1 (cl (=> (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) (tptp.less_equal tptp.x tptp.identity)) (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity))) :rule implies_neg1)
% 0.21/0.53 (anchor :step t2)
% 0.21/0.53 (assume t2.a0 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)))
% 0.21/0.53 (step t2.t1 (cl (or (not (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity))) (tptp.less_equal tptp.x tptp.identity))) :rule forall_inst :args ((:= X tptp.x)))
% 0.21/0.53 (step t2.t2 (cl (not (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity))) (tptp.less_equal tptp.x tptp.identity)) :rule or :premises (t2.t1))
% 0.21/0.53 (step t2.t3 (cl (tptp.less_equal tptp.x tptp.identity)) :rule resolution :premises (t2.t2 t2.a0))
% 0.21/0.53 (step t2 (cl (not (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity))) (tptp.less_equal tptp.x tptp.identity)) :rule subproof :discharge (t2.a0))
% 0.21/0.53 (step t3 (cl (=> (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) (tptp.less_equal tptp.x tptp.identity)) (tptp.less_equal tptp.x tptp.identity)) :rule resolution :premises (t1 t2))
% 0.21/0.53 (step t4 (cl (=> (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) (tptp.less_equal tptp.x tptp.identity)) (not (tptp.less_equal tptp.x tptp.identity))) :rule implies_neg2)
% 0.21/0.53 (step t5 (cl (=> (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) (tptp.less_equal tptp.x tptp.identity)) (=> (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) (tptp.less_equal tptp.x tptp.identity))) :rule resolution :premises (t3 t4))
% 0.21/0.53 (step t6 (cl (=> (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) (tptp.less_equal tptp.x tptp.identity))) :rule contraction :premises (t5))
% 0.21/0.53 (step t7 (cl (not (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity))) (tptp.less_equal tptp.x tptp.identity)) :rule implies :premises (t6))
% 0.21/0.53 (step t8 (cl (not (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero))) (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero)) :rule or_pos)
% 0.21/0.53 (step t9 (cl (tptp.quotient tptp.x tptp.identity tptp.zero) (not (tptp.less_equal tptp.x tptp.identity)) (not (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero)))) :rule reordering :premises (t8))
% 0.21/0.53 (step t10 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero))) (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero)))) :rule implies_neg1)
% 0.21/0.53 (anchor :step t11)
% 0.21/0.53 (assume t11.a0 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero))))
% 0.21/0.53 (step t11.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero)))) (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero)))) :rule forall_inst :args ((:= X tptp.x) (:= Y tptp.identity)))
% 0.21/0.53 (step t11.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero)))) (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero))) :rule or :premises (t11.t1))
% 0.21/0.53 (step t11.t3 (cl (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero))) :rule resolution :premises (t11.t2 t11.a0))
% 0.21/0.53 (step t11 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero)))) (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero))) :rule subproof :discharge (t11.a0))
% 0.21/0.53 (step t12 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero))) (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero))) (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero))) :rule resolution :premises (t10 t11))
% 0.21/0.53 (step t13 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero))) (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero))) (not (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero)))) :rule implies_neg2)
% 0.21/0.53 (step t14 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero))) (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero))) (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero)))) :rule resolution :premises (t12 t13))
% 0.21/0.53 (step t15 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero))) (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero)))) :rule contraction :premises (t14))
% 0.21/0.53 (step t16 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.quotient X Y tptp.zero)))) (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero))) :rule implies :premises (t15))
% 0.21/0.53 (step t17 (cl (or (not (tptp.less_equal tptp.x tptp.identity)) (tptp.quotient tptp.x tptp.identity tptp.zero))) :rule resolution :premises (t16 a0))
% 0.21/0.53 (step t18 (cl (not (tptp.less_equal tptp.x tptp.identity))) :rule resolution :premises (t9 a9 t17))
% 0.21/0.53 (step t19 (cl) :rule resolution :premises (t7 t18 a6))
% 0.21/0.53
% 0.21/0.53 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.uQSlGqouS7/cvc5---1.0.5_2521.smt2
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------