TSTP Solution File: CSR051-10 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR051-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n014.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 : Tue Sep 20 14:27:38 EDT 2022
% Result : Unsatisfiable 50.99s 33.05s
% Output : Proof 51.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 31
% Syntax : Number of formulae : 58 ( 32 unt; 12 typ; 0 def)
% Number of atoms : 68 ( 63 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 7 ~; 3 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 12 ( 5 >; 7 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 74 ( 66 !; 0 ?; 74 :)
% Comments :
%------------------------------------------------------------------------------
tff(b_type,type,
b: $i ).
tff(a_type,type,
a: $i ).
tff(ifeq3_type,type,
ifeq3: ( $i * $i * $i * $i ) > $i ).
tff(genlmt_type,type,
genlmt: ( $i * $i ) > $i ).
tff(c_hpkbvocabmt_type,type,
c_hpkbvocabmt: $i ).
tff(c_stimsoncentermt_type,type,
c_stimsoncentermt: $i ).
tff(marriagelicensedocument_type,type,
marriagelicensedocument: $i > $i ).
tff(c_tptpmarriagelicensedocument_type,type,
c_tptpmarriagelicensedocument: $i ).
tff(true_type,type,
true: $i ).
tff(ifeq4_type,type,
ifeq4: ( $i * $i * $i * $i ) > $i ).
tff(mtvisible_type,type,
mtvisible: $i > $i ).
tff(c_tptp_member3356_mt_type,type,
c_tptp_member3356_mt: $i ).
tff(1,plain,
^ [X: $i] :
refl(
( ( ifeq3(marriagelicensedocument(X),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b )
<=> ( ifeq3(marriagelicensedocument(X),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] : ( ifeq3(marriagelicensedocument(X),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b )
<=> ! [X: $i] : ( ifeq3(marriagelicensedocument(X),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [X: $i] :
rewrite(
( ( ifeq3(marriagelicensedocument(X),true,a,b) = b )
<=> ( ifeq3(marriagelicensedocument(X),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b ) )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [X: $i] : ( ifeq3(marriagelicensedocument(X),true,a,b) = b )
<=> ! [X: $i] : ( ifeq3(marriagelicensedocument(X),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
( ! [X: $i] : ( ifeq3(marriagelicensedocument(X),true,a,b) = b )
<=> ! [X: $i] : ( ifeq3(marriagelicensedocument(X),true,a,b) = b ) ),
inference(rewrite,[status(thm)],]) ).
tff(6,axiom,
! [X: $i] : ( ifeq3(marriagelicensedocument(X),true,a,b) = b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query151_1) ).
tff(7,plain,
! [X: $i] : ( ifeq3(marriagelicensedocument(X),true,a,b) = b ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i] : ( ifeq3(marriagelicensedocument(X),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b ),
inference(modus_ponens,[status(thm)],[7,4]) ).
tff(9,plain,
! [X: $i] : ( ifeq3(marriagelicensedocument(X),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X: $i] : ( ifeq3(marriagelicensedocument(X),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( ~ ! [X: $i] : ( ifeq3(marriagelicensedocument(X),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b )
| ( ifeq3(marriagelicensedocument(c_tptpmarriagelicensedocument),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b ) ),
inference(quant_inst,[status(thm)],]) ).
tff(12,plain,
ifeq3(marriagelicensedocument(c_tptpmarriagelicensedocument),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = b,
inference(unit_resolution,[status(thm)],[11,10]) ).
tff(13,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ifeq4(A,A,B,C) = B )
<=> ( ifeq4(A,A,B,C) = B ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq4(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq4(A,A,B,C) = B ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq4(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq4(A,A,B,C) = B ) ),
inference(rewrite,[status(thm)],]) ).
tff(16,axiom,
! [B: $i,A: $i,C: $i] : ( ifeq4(A,A,B,C) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
tff(17,plain,
! [B: $i,A: $i,C: $i] : ( ifeq4(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[16,15]) ).
tff(18,plain,
! [B: $i,A: $i,C: $i] : ( ifeq4(A,A,B,C) = B ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [B: $i,A: $i,C: $i] : ( ifeq4(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[18,14]) ).
tff(20,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq4(A,A,B,C) = B )
| ( ifeq4(genlmt(c_stimsoncentermt,c_hpkbvocabmt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),marriagelicensedocument(c_tptpmarriagelicensedocument),genlmt(c_stimsoncentermt,c_hpkbvocabmt)) = marriagelicensedocument(c_tptpmarriagelicensedocument) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(21,plain,
ifeq4(genlmt(c_stimsoncentermt,c_hpkbvocabmt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),marriagelicensedocument(c_tptpmarriagelicensedocument),genlmt(c_stimsoncentermt,c_hpkbvocabmt)) = marriagelicensedocument(c_tptpmarriagelicensedocument),
inference(unit_resolution,[status(thm)],[20,19]) ).
tff(22,plain,
( ( ifeq4(mtvisible(c_tptp_member3356_mt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),marriagelicensedocument(c_tptpmarriagelicensedocument),genlmt(c_stimsoncentermt,c_hpkbvocabmt)) = genlmt(c_stimsoncentermt,c_hpkbvocabmt) )
<=> ( ifeq4(genlmt(c_stimsoncentermt,c_hpkbvocabmt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),marriagelicensedocument(c_tptpmarriagelicensedocument),genlmt(c_stimsoncentermt,c_hpkbvocabmt)) = genlmt(c_stimsoncentermt,c_hpkbvocabmt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(23,plain,
( ( ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = true )
<=> ( ifeq4(mtvisible(c_tptp_member3356_mt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),marriagelicensedocument(c_tptpmarriagelicensedocument),genlmt(c_stimsoncentermt,c_hpkbvocabmt)) = genlmt(c_stimsoncentermt,c_hpkbvocabmt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(24,plain,
( ( ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = true )
<=> ( ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = true ) ),
inference(rewrite,[status(thm)],]) ).
tff(25,axiom,
ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_395) ).
tff(26,plain,
ifeq4(mtvisible(c_tptp_member3356_mt),true,marriagelicensedocument(c_tptpmarriagelicensedocument),true) = true,
inference(modus_ponens,[status(thm)],[25,24]) ).
tff(27,plain,
ifeq4(mtvisible(c_tptp_member3356_mt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),marriagelicensedocument(c_tptpmarriagelicensedocument),genlmt(c_stimsoncentermt,c_hpkbvocabmt)) = genlmt(c_stimsoncentermt,c_hpkbvocabmt),
inference(modus_ponens,[status(thm)],[26,23]) ).
tff(28,plain,
ifeq4(genlmt(c_stimsoncentermt,c_hpkbvocabmt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),marriagelicensedocument(c_tptpmarriagelicensedocument),genlmt(c_stimsoncentermt,c_hpkbvocabmt)) = genlmt(c_stimsoncentermt,c_hpkbvocabmt),
inference(modus_ponens,[status(thm)],[27,22]) ).
tff(29,plain,
genlmt(c_stimsoncentermt,c_hpkbvocabmt) = ifeq4(genlmt(c_stimsoncentermt,c_hpkbvocabmt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),marriagelicensedocument(c_tptpmarriagelicensedocument),genlmt(c_stimsoncentermt,c_hpkbvocabmt)),
inference(symmetry,[status(thm)],[28]) ).
tff(30,plain,
genlmt(c_stimsoncentermt,c_hpkbvocabmt) = marriagelicensedocument(c_tptpmarriagelicensedocument),
inference(transitivity,[status(thm)],[29,21]) ).
tff(31,plain,
ifeq3(genlmt(c_stimsoncentermt,c_hpkbvocabmt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = ifeq3(marriagelicensedocument(c_tptpmarriagelicensedocument),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b),
inference(monotonicity,[status(thm)],[30]) ).
tff(32,plain,
^ [B: $i,A: $i,C: $i] :
refl(
( ( ifeq3(A,A,B,C) = B )
<=> ( ifeq3(A,A,B,C) = B ) )),
inference(bind,[status(th)],]) ).
tff(33,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
( ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
<=> ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,axiom,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
tff(36,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(skolemize,[status(sab)],[36]) ).
tff(38,plain,
! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B ),
inference(modus_ponens,[status(thm)],[37,33]) ).
tff(39,plain,
( ~ ! [B: $i,A: $i,C: $i] : ( ifeq3(A,A,B,C) = B )
| ( ifeq3(genlmt(c_stimsoncentermt,c_hpkbvocabmt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = a ) ),
inference(quant_inst,[status(thm)],]) ).
tff(40,plain,
ifeq3(genlmt(c_stimsoncentermt,c_hpkbvocabmt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b) = a,
inference(unit_resolution,[status(thm)],[39,38]) ).
tff(41,plain,
a = ifeq3(genlmt(c_stimsoncentermt,c_hpkbvocabmt),genlmt(c_stimsoncentermt,c_hpkbvocabmt),a,b),
inference(symmetry,[status(thm)],[40]) ).
tff(42,plain,
a = b,
inference(transitivity,[status(thm)],[41,31,12]) ).
tff(43,plain,
( ( a != b )
<=> ( a != b ) ),
inference(rewrite,[status(thm)],]) ).
tff(44,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(45,plain,
a != b,
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
$false,
inference(unit_resolution,[status(thm)],[45,42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR051-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 18:46:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 50.99/33.05 % SZS status Unsatisfiable
% 50.99/33.05 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------