↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GEO171+2 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 Jun  3 08:16:31 AM UTC 2026

% Result   : Theorem 0.29s 0.55s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO171+2 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n020.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Mon Jun  1 23:38:25 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.29/0.55  % SZS status Theorem
% 0.29/0.55  % SZS output start Proof
% 0.29/0.55  (
% 0.29/0.55  (declare-sort $$unsorted 0)
% 0.29/0.55  (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted))
% 0.29/0.55  (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool))
% 0.29/0.55  (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted))
% 0.29/0.55  (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool))
% 0.29/0.55  (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool))
% 0.29/0.55  (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool))
% 0.29/0.55  (define @t1 () (@var "X" $$unsorted))
% 0.29/0.55  (define @t2 () (@list @t1))
% 0.29/0.55  (define @t3 () (@var "Z" $$unsorted))
% 0.29/0.55  (define @t4 () (@var "Y" $$unsorted))
% 0.29/0.55  (define @t5 () (tptp.distinct_points @t1 @t3))
% 0.29/0.55  (define @t6 () (tptp.distinct_points @t1 @t4))
% 0.29/0.55  (define @t7 () (@list @t1 @t4 @t3))
% 0.29/0.55  (define @t8 () (tptp.distinct_lines @t4 @t3))
% 0.29/0.55  (define @t9 () (tptp.distinct_lines @t1 @t4))
% 0.29/0.55  (define @t10 () (tptp.convergent_lines @t1 @t4))
% 0.29/0.55  (define @t11 () (tptp.apart_point_and_line @t3 @t4))
% 0.29/0.55  (define @t12 () (@var "V" $$unsorted))
% 0.29/0.55  (define @t13 () (@var "U" $$unsorted))
% 0.29/0.55  (define @t14 () (tptp.apart_point_and_line @t1 @t4))
% 0.29/0.55  (define @t15 () (@list @t1 @t4))
% 0.29/0.55  (define @t16 () (forall @t15 (=> @t10 @t9)))
% 0.29/0.55  (define @t17 () (not @t16))
% 0.29/0.55  (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1))))
% 0.29/0.55  (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1))))
% 0.29/0.55  (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1))))
% 0.29/0.55  (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3)))))
% 0.29/0.55  (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8))))
% 0.29/0.55  (assume @p6 (forall @t7 (=> @t10 (or (tptp.convergent_lines @t1 @t3) (tptp.convergent_lines @t4 @t3)))))
% 0.29/0.55  (assume @p7 (forall @t7 (=> @t6 (=> (tptp.apart_point_and_line @t3 (tptp.line_connecting @t1 @t4)) (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4))))))
% 0.29/0.55  (assume @p8 (forall @t7 (=> @t10 (=> (or (tptp.apart_point_and_line @t3 @t1) @t11) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4))))))
% 0.29/0.55  (assume @p9 (forall (@list @t1 @t4 @t13 @t12) (=> (and @t6 (tptp.distinct_lines @t13 @t12)) (or (tptp.apart_point_and_line @t1 @t13) (tptp.apart_point_and_line @t1 @t12) (tptp.apart_point_and_line @t4 @t13) (tptp.apart_point_and_line @t4 @t12)))))
% 0.29/0.55  (assume @p10 (forall @t7 (=> @t14 (or @t5 @t11))))
% 0.29/0.55  (assume @p11 (forall @t7 (=> @t14 (or @t8 (tptp.apart_point_and_line @t1 @t3)))))
% 0.29/0.55  (assume @p12 @t16)
% 0.29/0.55  (assume @p13 @t17)
% 0.29/0.55  (assume @p14 true)
% 0.29/0.55  (step @p15 :rule bool-impl-elim :args (@t10 @t9))
% 0.29/0.55  (step @p16 :rule cong :premises (@p15) :args (@t16))
% 0.29/0.55  (step @p17 :rule eq_resolve :premises (@p12 @p16))
% 0.29/0.55  (step @p18 :rule cong :premises (@p16) :args (@t17))
% 0.29/0.55  (step @p19 :rule eq_resolve :premises (@p13 @p18))
% 0.29/0.55  (step @p20 false :rule chain_m_resolution :premises (@p19 @p17) :args (false (@list false) (@list (forall @t15 (or (not @t10) @t9)))))
% 0.29/0.55  )
% 0.29/0.55  % SZS output end Proof
% 0.29/0.55  % cvc5 exiting
%------------------------------------------------------------------------------