TSTP Solution File: SYN116-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.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 Sep 2 14:24:56 EDT 2023
% Result : Unsatisfiable 0.25s 0.56s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 50 (; 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3884,plain,
$false,
inference(trivial_inequality_removal,[],[f3880]) ).
fof(f3880,plain,
true != true,
inference(superposition,[],[f363,f3876]) ).
fof(f3876,plain,
! [X1] : true = k5(X1),
inference(superposition,[],[f3872,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',ifeq_axiom) ).
fof(f3872,plain,
! [X11] : true = ifeq(true,true,k5(X11),true),
inference(superposition,[],[f2817,f3856]) ).
fof(f3856,plain,
true = s4(d),
inference(superposition,[],[f3854,f1]) ).
fof(f3854,plain,
true = ifeq(true,true,s4(d),true),
inference(superposition,[],[f3849,f1087]) ).
fof(f1087,plain,
! [X1] : true = p3(X1,X1,X1),
inference(superposition,[],[f1061,f1]) ).
fof(f1061,plain,
! [X1] : true = ifeq(true,true,p3(X1,X1,X1),true),
inference(superposition,[],[f278,f1058]) ).
fof(f1058,plain,
! [X1] : true = n2(X1),
inference(superposition,[],[f1041,f1]) ).
fof(f1041,plain,
! [X9] : true = ifeq(true,true,n2(X9),true),
inference(superposition,[],[f173,f1032]) ).
fof(f1032,plain,
! [X1] : true = p1(X1,X1,X1),
inference(superposition,[],[f1009,f1]) ).
fof(f1009,plain,
! [X0] : true = ifeq(true,true,p1(X0,X0,X0),true),
inference(superposition,[],[f122,f15]) ).
fof(f15,axiom,
! [X3] : true = p0(b,X3),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',axiom_14) ).
fof(f122,axiom,
! [X2,X1] : true = ifeq(p0(X2,X1),true,p1(X1,X1,X1),true),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',rule_085) ).
fof(f173,axiom,
! [X2,X0,X1] : true = ifeq(p1(X1,X2,X0),true,n2(X0),true),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',rule_137) ).
fof(f278,axiom,
! [X7] : true = ifeq(n2(X7),true,p3(X7,X7,X7),true),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',rule_244) ).
fof(f3849,plain,
! [X0,X1] : true = ifeq(p3(X0,d,X1),true,s4(d),true),
inference(forward_demodulation,[],[f3844,f1]) ).
fof(f3844,plain,
! [X0,X1] : true = ifeq(p3(X0,d,X1),true,ifeq(true,true,s4(d),true),true),
inference(superposition,[],[f331,f575]) ).
fof(f575,plain,
true = l1(d,d),
inference(superposition,[],[f558,f1]) ).
fof(f558,plain,
true = ifeq(true,true,l1(d,d),true),
inference(superposition,[],[f41,f35]) ).
fof(f35,axiom,
true = n0(c,d),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',axiom_34) ).
fof(f41,axiom,
! [X8,X7] : true = ifeq(n0(X7,X8),true,l1(X8,X8),true),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',rule_002) ).
fof(f331,axiom,
! [X2,X0,X11,X1] : true = ifeq(p3(X1,X2,X11),true,ifeq(l1(X0,X2),true,s4(X0),true),true),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',rule_299) ).
fof(f2817,plain,
! [X0,X1] : true = ifeq(s4(X1),true,k5(X0),true),
inference(forward_demodulation,[],[f2816,f1]) ).
fof(f2816,plain,
! [X0,X1] : true = ifeq(s4(X1),true,ifeq(true,true,k5(X0),true),true),
inference(superposition,[],[f332,f1786]) ).
fof(f1786,plain,
! [X1] : true = r3(X1,X1,X1),
inference(superposition,[],[f1778,f1]) ).
fof(f1778,plain,
! [X0] : true = ifeq(true,true,r3(X0,X0,X0),true),
inference(superposition,[],[f301,f1556]) ).
fof(f1556,plain,
! [X1] : true = p2(X1,X1,X1),
inference(superposition,[],[f1540,f1]) ).
fof(f1540,plain,
! [X0] : true = ifeq(true,true,p2(X0,X0,X0),true),
inference(superposition,[],[f186,f1391]) ).
fof(f1391,plain,
! [X1] : true = m1(X1,X1,X1),
inference(superposition,[],[f1376,f1]) ).
fof(f1376,plain,
! [X0] : true = ifeq(true,true,m1(X0,X0,X0),true),
inference(superposition,[],[f45,f20]) ).
fof(f20,axiom,
! [X3,X4] : true = m0(X3,d,X4),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',axiom_19) ).
fof(f45,axiom,
! [X0,X5] : true = ifeq(m0(X0,X0,X5),true,m1(X5,X5,X5),true),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',rule_006) ).
fof(f186,axiom,
! [X10,X8] : true = ifeq(m1(X8,X8,X10),true,p2(X10,X10,X10),true),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',rule_150) ).
fof(f301,axiom,
! [X2,X11,X1] : true = ifeq(p2(X1,X11,X2),true,r3(X1,X2,X1),true),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',rule_267) ).
fof(f332,axiom,
! [X10,X8,X9] : true = ifeq(s4(X10),true,ifeq(r3(X8,X9,X9),true,k5(X9),true),true),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',rule_300) ).
fof(f363,axiom,
true != k5(b),
file('/export/starexec/sandbox/tmp/tmp.X1vf0Yyk1t/Vampire---4.8_4494',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.16 % Problem : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.18 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.39 % Computer : n005.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Wed Aug 30 15:51:52 EDT 2023
% 0.17/0.39 % CPUTime :
% 0.25/0.45 % (4852)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.48 % (4918)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.25/0.48 % (4916)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.25/0.48 % (4920)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.25/0.48 % (4919)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.25/0.48 % (4921)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.25/0.48 % (4922)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.25/0.48 % (4923)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.25/0.55 % (4923)First to succeed.
% 0.25/0.56 % (4923)Refutation found. Thanks to Tanya!
% 0.25/0.56 % SZS status Unsatisfiable for Vampire---4
% 0.25/0.56 % SZS output start Proof for Vampire---4
% See solution above
% 0.25/0.56 % (4923)------------------------------
% 0.25/0.56 % (4923)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.56 % (4923)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.56 % (4923)Termination reason: Refutation
% 0.25/0.56
% 0.25/0.56 % (4923)Memory used [KB]: 3070
% 0.25/0.56 % (4923)Time elapsed: 0.078 s
% 0.25/0.56 % (4923)------------------------------
% 0.25/0.56 % (4923)------------------------------
% 0.25/0.56 % (4852)Success in time 0.159 s
% 0.25/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------