TSTP Solution File: SWW822_1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW822_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 : Thu Sep 29 21:00:00 EDT 2022
% Result : Unsatisfiable 0.43s 0.62s
% Output : Proof 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 33 ( 17 unt; 9 typ; 0 def)
% Number of atoms : 35 ( 32 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 6 ~; 2 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 2 ( 2 fml; 0 var)
% Number arithmetic : 28 ( 0 atm; 0 fun; 18 num; 10 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 18 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(f16_type,type,
f16: ( 'S11' * $real ) > 'S10' ).
tff(f17_type,type,
f17: ( 'S12' * $real ) > 'S11' ).
tff(f19_type,type,
f19: ( 'S13' * 'S2' ) > $real ).
tff(f15_type,type,
f15: 'S2' ).
tff(f20_type,type,
f20: 'S13' ).
tff(f18_type,type,
f18: 'S12' ).
tff(f13_type,type,
f13: ( 'S9' * 'S2' ) > 'S10' ).
tff(f14_type,type,
f14: 'S9' ).
tff(f32_type,type,
f32: 'S11' ).
tff(1,plain,
^ [A__questionmark_v0: $real] :
refl(
( ( f16(f32,A__questionmark_v0) = f16(f17(f18,A__questionmark_v0),0) )
<=> ( f16(f32,A__questionmark_v0) = f16(f17(f18,A__questionmark_v0),0) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [A__questionmark_v0: $real] : ( f16(f32,A__questionmark_v0) = f16(f17(f18,A__questionmark_v0),0) )
<=> ! [A__questionmark_v0: $real] : ( f16(f32,A__questionmark_v0) = f16(f17(f18,A__questionmark_v0),0) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [A__questionmark_v0: $real] : ( f16(f32,A__questionmark_v0) = f16(f17(f18,A__questionmark_v0),0) )
<=> ! [A__questionmark_v0: $real] : ( f16(f32,A__questionmark_v0) = f16(f17(f18,A__questionmark_v0),0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
! [A__questionmark_v0: $real] : ( f16(f32,A__questionmark_v0) = f16(f17(f18,A__questionmark_v0),0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_39) ).
tff(5,plain,
! [A__questionmark_v0: $real] : ( f16(f32,A__questionmark_v0) = f16(f17(f18,A__questionmark_v0),0) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [A__questionmark_v0: $real] : ( f16(f32,A__questionmark_v0) = f16(f17(f18,A__questionmark_v0),0) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [A__questionmark_v0: $real] : ( f16(f32,A__questionmark_v0) = f16(f17(f18,A__questionmark_v0),0) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [A__questionmark_v0: $real] : ( f16(f32,A__questionmark_v0) = f16(f17(f18,A__questionmark_v0),0) )
| ( f16(f32,f19(f20,f15)) = f16(f17(f18,f19(f20,f15)),0) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
f16(f32,f19(f20,f15)) = f16(f17(f18,f19(f20,f15)),0),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
^ [A__questionmark_v0: 'S2'] :
refl(
( ( f16(f32,f19(f20,A__questionmark_v0)) = f13(f14,A__questionmark_v0) )
<=> ( f16(f32,f19(f20,A__questionmark_v0)) = f13(f14,A__questionmark_v0) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [A__questionmark_v0: 'S2'] : ( f16(f32,f19(f20,A__questionmark_v0)) = f13(f14,A__questionmark_v0) )
<=> ! [A__questionmark_v0: 'S2'] : ( f16(f32,f19(f20,A__questionmark_v0)) = f13(f14,A__questionmark_v0) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [A__questionmark_v0: 'S2'] : ( f16(f32,f19(f20,A__questionmark_v0)) = f13(f14,A__questionmark_v0) )
<=> ! [A__questionmark_v0: 'S2'] : ( f16(f32,f19(f20,A__questionmark_v0)) = f13(f14,A__questionmark_v0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(13,axiom,
! [A__questionmark_v0: 'S2'] : ( f16(f32,f19(f20,A__questionmark_v0)) = f13(f14,A__questionmark_v0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_17) ).
tff(14,plain,
! [A__questionmark_v0: 'S2'] : ( f16(f32,f19(f20,A__questionmark_v0)) = f13(f14,A__questionmark_v0) ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
! [A__questionmark_v0: 'S2'] : ( f16(f32,f19(f20,A__questionmark_v0)) = f13(f14,A__questionmark_v0) ),
inference(skolemize,[status(sab)],[14]) ).
tff(16,plain,
! [A__questionmark_v0: 'S2'] : ( f16(f32,f19(f20,A__questionmark_v0)) = f13(f14,A__questionmark_v0) ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
( ~ ! [A__questionmark_v0: 'S2'] : ( f16(f32,f19(f20,A__questionmark_v0)) = f13(f14,A__questionmark_v0) )
| ( f16(f32,f19(f20,f15)) = f13(f14,f15) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(18,plain,
f16(f32,f19(f20,f15)) = f13(f14,f15),
inference(unit_resolution,[status(thm)],[17,16]) ).
tff(19,plain,
f13(f14,f15) = f16(f32,f19(f20,f15)),
inference(symmetry,[status(thm)],[18]) ).
tff(20,plain,
f13(f14,f15) = f16(f17(f18,f19(f20,f15)),0),
inference(transitivity,[status(thm)],[19,9]) ).
tff(21,plain,
( ( f13(f14,f15) != f16(f17(f18,f19(f20,f15)),0) )
<=> ( f13(f14,f15) != f16(f17(f18,f19(f20,f15)),0) ) ),
inference(rewrite,[status(thm)],]) ).
tff(22,axiom,
f13(f14,f15) != f16(f17(f18,f19(f20,f15)),0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3) ).
tff(23,plain,
f13(f14,f15) != f16(f17(f18,f19(f20,f15)),0),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
$false,
inference(unit_resolution,[status(thm)],[23,20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW822_1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Sep 4 22:00:04 EDT 2022
% 0.13/0.34 % 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.
% 0.43/0.62 % SZS status Unsatisfiable
% 0.43/0.62 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------