TSTP Solution File: SYN116-10 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---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 : n028.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 : Fri Sep 1 03:37:44 EDT 2023
% Result : Unsatisfiable 0.24s 0.52s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 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; 5 con; 0-4 aty)
% Number of variables : 47 (; 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2454,plain,
$false,
inference(trivial_inequality_removal,[],[f2450]) ).
fof(f2450,plain,
true != true,
inference(backward_demodulation,[],[f363,f2448]) ).
fof(f2448,plain,
! [X5] : true = k5(X5),
inference(forward_demodulation,[],[f2433,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',ifeq_axiom) ).
fof(f2433,plain,
! [X5] : true = ifeq(true,true,k5(X5),true),
inference(superposition,[],[f1955,f2413]) ).
fof(f2413,plain,
true = s4(d),
inference(forward_demodulation,[],[f2408,f1]) ).
fof(f2408,plain,
true = ifeq(true,true,s4(d),true),
inference(superposition,[],[f2401,f569]) ).
fof(f569,plain,
true = l1(d,d),
inference(forward_demodulation,[],[f557,f1]) ).
fof(f557,plain,
true = ifeq(true,true,l1(d,d),true),
inference(superposition,[],[f41,f35]) ).
fof(f35,axiom,
true = n0(c,d),
file('/export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',axiom_34) ).
fof(f41,axiom,
! [X8,X7] : true = ifeq(n0(X7,X8),true,l1(X8,X8),true),
file('/export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',rule_002) ).
fof(f2401,plain,
! [X0,X1] : true = ifeq(l1(X1,X0),true,s4(X1),true),
inference(forward_demodulation,[],[f2395,f1]) ).
fof(f2395,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(l1(X1,X0),true,s4(X1),true),true),
inference(superposition,[],[f331,f1126]) ).
fof(f1126,plain,
! [X7] : true = p3(X7,X7,X7),
inference(forward_demodulation,[],[f1091,f1]) ).
fof(f1091,plain,
! [X7] : true = ifeq(true,true,p3(X7,X7,X7),true),
inference(backward_demodulation,[],[f278,f1083]) ).
fof(f1083,plain,
! [X1] : true = n2(X1),
inference(forward_demodulation,[],[f1076,f1]) ).
fof(f1076,plain,
! [X1] : true = ifeq(true,true,n2(X1),true),
inference(superposition,[],[f173,f1034]) ).
fof(f1034,plain,
! [X0] : true = p1(X0,X0,X0),
inference(forward_demodulation,[],[f1027,f1]) ).
fof(f1027,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/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',axiom_14) ).
fof(f122,axiom,
! [X2,X1] : true = ifeq(p0(X2,X1),true,p1(X1,X1,X1),true),
file('/export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',rule_085) ).
fof(f173,axiom,
! [X2,X0,X1] : true = ifeq(p1(X1,X2,X0),true,n2(X0),true),
file('/export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',rule_137) ).
fof(f278,axiom,
! [X7] : true = ifeq(n2(X7),true,p3(X7,X7,X7),true),
file('/export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',rule_244) ).
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/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',rule_299) ).
fof(f1955,plain,
! [X0,X1] : true = ifeq(s4(X1),true,k5(X0),true),
inference(forward_demodulation,[],[f1954,f1]) ).
fof(f1954,plain,
! [X0,X1] : true = ifeq(s4(X1),true,ifeq(true,true,k5(X0),true),true),
inference(superposition,[],[f332,f1582]) ).
fof(f1582,plain,
! [X0] : true = r3(X0,X0,X0),
inference(forward_demodulation,[],[f1578,f1]) ).
fof(f1578,plain,
! [X0] : true = ifeq(true,true,r3(X0,X0,X0),true),
inference(superposition,[],[f301,f1141]) ).
fof(f1141,plain,
! [X7] : true = p2(X7,X7,X7),
inference(forward_demodulation,[],[f1094,f1]) ).
fof(f1094,plain,
! [X7] : true = ifeq(true,true,p2(X7,X7,X7),true),
inference(backward_demodulation,[],[f509,f1083]) ).
fof(f509,plain,
! [X7] : true = ifeq(n2(X7),true,p2(X7,X7,X7),true),
inference(forward_demodulation,[],[f508,f1]) ).
fof(f508,plain,
! [X7] : true = ifeq(n2(X7),true,ifeq(true,true,p2(X7,X7,X7),true),true),
inference(backward_demodulation,[],[f210,f507]) ).
fof(f507,plain,
true = k1(e),
inference(forward_demodulation,[],[f499,f1]) ).
fof(f499,plain,
true = ifeq(true,true,k1(e),true),
inference(superposition,[],[f40,f4]) ).
fof(f4,axiom,
true = n0(d,e),
file('/export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',axiom_3) ).
fof(f40,axiom,
! [X6,X5] : true = ifeq(n0(X5,X6),true,k1(X6),true),
file('/export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',rule_001) ).
fof(f210,axiom,
! [X7] : true = ifeq(n2(X7),true,ifeq(k1(e),true,p2(X7,X7,X7),true),true),
file('/export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',rule_174) ).
fof(f301,axiom,
! [X2,X11,X1] : true = ifeq(p2(X1,X11,X2),true,r3(X1,X2,X1),true),
file('/export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',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/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',rule_300) ).
fof(f363,axiom,
true != k5(b),
file('/export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% 0.15/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.37 % Computer : n028.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sat Aug 26 18:59:52 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.17/0.38 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.17/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.7xkYfed3ez/Vampire---4.8_26012
% 0.17/0.38 % (26120)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (26122)ott+10_14_av=off:bd=preordered:drc=off:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.24/0.46 % (26121)lrs+10_6_av=off:drc=off:fde=unused:nwc=2.5:sims=off:sp=reverse_frequency:stl=188_1200 on Vampire---4 for (1200ds/0Mi)
% 0.24/0.46 % (26128)ott+10_4_av=off:drc=off:fde=none:nwc=1.2:sims=off:to=lpo:tgt=ground_606 on Vampire---4 for (606ds/0Mi)
% 0.24/0.46 % (26124)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_1200 on Vampire---4 for (1200ds/0Mi)
% 0.24/0.46 % (26129)dis+10_7_av=off:drc=off:nwc=1.5:sims=off:sp=scramble:tgt=ground_485 on Vampire---4 for (485ds/0Mi)
% 0.24/0.46 % (26123)ott+10_11_av=off:bd=off:drc=off:fde=none:nwc=1.2:to=lpo:tgt=ground_1200 on Vampire---4 for (1200ds/0Mi)
% 0.24/0.46 % (26131)lrs+10_50_av=off:bd=off:drc=off:sp=reverse_arity:tgt=ground:stl=62_361 on Vampire---4 for (361ds/0Mi)
% 0.24/0.51 % (26122)First to succeed.
% 0.24/0.51 % (26129)Also succeeded, but the first one will report.
% 0.24/0.52 % (26122)Refutation found. Thanks to Tanya!
% 0.24/0.52 % SZS status Unsatisfiable for Vampire---4
% 0.24/0.52 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.52 % (26122)------------------------------
% 0.24/0.52 % (26122)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.52 % (26122)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.52 % (26122)Termination reason: Refutation
% 0.24/0.52
% 0.24/0.52 % (26122)Memory used [KB]: 2686
% 0.24/0.52 % (26122)Time elapsed: 0.069 s
% 0.24/0.52 % (26122)------------------------------
% 0.24/0.52 % (26122)------------------------------
% 0.24/0.52 % (26120)Success in time 0.134 s
% 0.24/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------