%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : RNG074+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 : Sat Jun 21 05:24:06 AM UTC 2025
% Result : Theorem 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 0 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(sdtlseqdt0_type,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sdtpldt0_type,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(xP_type,type,
xP: $i ).
tff(xS_type,type,
xS: $i ).
tff(xR_type,type,
xR: $i ).
tff(1,plain,
( ( sdtpldt0(xR,xS) = sdtpldt0(xP,xP) )
<=> ( sdtpldt0(xR,xS) = sdtpldt0(xP,xP) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2679) ).
tff(3,plain,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
sdtpldt0(xP,xP) = sdtpldt0(xR,xS),
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
( sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
<=> sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
inference(monotonicity,[status(thm)],[3,4]) ).
tff(6,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
<=> sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(symmetry,[status(thm)],[5]) ).
tff(7,plain,
( ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
<=> ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(monotonicity,[status(thm)],[6]) ).
tff(8,plain,
( ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
<=> ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).
tff(10,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(modus_ponens,[status(thm)],[10,7]) ).
tff(12,plain,
( sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
<=> sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2610) ).
tff(14,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
$false,
inference(unit_resolution,[status(thm)],[14,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG074+2 : TPTP v9.0.0. Released v4.0.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 03:18:38 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.39 % SZS status Theorem
% 0.12/0.39 % SZS output start Proof
% See solution above
% 0.12/0.39 % E exiting
%------------------------------------------------------------------------------