%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:01:06 PM UTC 2026
% Result : Unsatisfiable 3.79s 1.32s
% Output : Refutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 43 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p8(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_2) ).
fof(f5,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
fof(f10,negated_conjecture,
p18(c26,c25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_10) ).
fof(f11,negated_conjecture,
p3(c22,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_11) ).
fof(f12,negated_conjecture,
p2(c24,c25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f13,negated_conjecture,
~ p16(c22,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p16_13) ).
fof(f14,negated_conjecture,
p3(c23,f4(c24,c20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_14) ).
fof(f15,negated_conjecture,
p16(f4(c19,c20),c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_15) ).
fof(f20,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_20) ).
fof(f25,negated_conjecture,
! [X0,X1] :
( ~ p16(f4(f6(c27,c25),X0),X1)
| p16(f4(c25,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_25) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( p16(X0,X1)
| ~ p3(X2,X0)
| ~ p8(X3,X1)
| ~ p16(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_26) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p16(f4(X3,f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3))
| ~ p2(X0,X3)
| ~ p18(c26,X3)
| ~ p16(f4(c19,X1),X2)
| p16(f4(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_34) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( p16(f4(f6(c27,X3),f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3))
| p16(f4(X0,X1),X2)
| ~ p2(X0,X3)
| ~ p18(c26,X3)
| ~ p16(f4(c19,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_35) ).
fof(f36,plain,
! [X0,X1] :
( ~ p16(X0,X1)
| ~ p8(X1,c21)
| ~ p3(X0,c22) ),
inference(resolution,[],[f26,f13]) ).
fof(f63,plain,
! [X2,X0,X1] :
( p16(f4(X0,X1),X2)
| ~ p2(X0,c25)
| ~ p18(c26,c25)
| ~ p16(f4(c19,X1),X2)
| p16(f4(c25,f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25)) ),
inference(resolution,[],[f35,f25]) ).
fof(f65,plain,
! [X2,X0,X1] :
( p16(f4(X0,X1),X2)
| ~ p2(X0,c25)
| ~ p18(c26,c25)
| ~ p16(f4(c19,X1),X2) ),
inference(forward_subsumption_resolution,[],[f63,f34]) ).
fof(f66,plain,
! [X2,X0,X1] :
( p16(f4(X0,X1),X2)
| ~ p2(X0,c25)
| ~ p16(f4(c19,X1),X2) ),
inference(forward_subsumption_resolution,[],[f65,f10]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ p16(f4(c19,X1),X2)
| ~ p2(X0,c25)
| ~ p8(X2,c21)
| ~ p3(f4(X0,X1),c22) ),
inference(resolution,[],[f66,f36]) ).
fof(f101,plain,
! [X0] :
( ~ p2(X0,c25)
| ~ p8(c21,c21)
| ~ p3(f4(X0,c20),c22) ),
inference(resolution,[],[f72,f15]) ).
fof(f104,plain,
! [X0] :
( ~ p3(f4(X0,c20),c22)
| ~ p2(X0,c25) ),
inference(forward_subsumption_resolution,[],[f101,f2]) ).
fof(f105,plain,
! [X0,X1] :
( ~ p3(X1,f4(X0,c20))
| ~ p2(X0,c25)
| ~ p3(X1,c22) ),
inference(resolution,[],[f104,f20]) ).
fof(f140,plain,
( ~ p2(c24,c25)
| ~ p3(c23,c22) ),
inference(resolution,[],[f105,f14]) ).
fof(f142,plain,
~ p3(c23,c22),
inference(forward_subsumption_resolution,[],[f140,f12]) ).
fof(f146,plain,
! [X0] :
( ~ p3(X0,c23)
| ~ p3(X0,c22) ),
inference(resolution,[],[f142,f20]) ).
fof(f204,plain,
~ p3(c22,c22),
inference(resolution,[],[f146,f11]) ).
fof(f205,plain,
$false,
inference(forward_subsumption_resolution,[],[f204,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:38:17 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.79/1.32 % (2386805)Input is clausal, will run a generic CNF schedule.
% 3.79/1.32 % (2386811)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3282200803:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.79/1.32 % (2386815)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1922106815:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.79/1.32 % (2386814)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2929160844:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.79/1.32 % (2386812)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1809490271:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.79/1.32 % (2386810)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=790348497:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.79/1.32 % (2386816)dis-21_1_sil=8000:lcm=predicate:random_seed=3290049189:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.79/1.32 % (2386813)lrs+10_1_sil=8000:sp=occurrence:random_seed=2270624063:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.79/1.32 % (2386814)First to succeed.
% 3.79/1.32 % (2386814)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2386805"
% 3.79/1.32 % (2386815)Also succeeded, but the first one will report.
% 3.79/1.32 % (2386816)Also succeeded, but the first one will report.
% 3.79/1.32 % (2386813)Instruction limit reached!
% 3.79/1.32 % (2386813)------------------------------
% 3.79/1.32 % (2386813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.32 % (2386813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.32 % (2386813)CaDiCaL version: 2.1.3
% 3.79/1.32 % (2386813)Termination reason: Instruction limit
% 3.79/1.32 % (2386813)Termination phase: Saturation
% 3.79/1.32 % (2386813)Time elapsed: 0.068 s
% 3.79/1.32 % (2386813)Peak memory usage: 89 MB
% 3.79/1.32 % (2386813)Instructions burned: 108 (million)
% 3.79/1.32 % (2386824)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=172595649:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.79/1.32 % (2386814)Refutation found. Thanks to Tanya!
% 3.79/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.79/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.79/1.32 % (2386814)------------------------------
% 3.79/1.32 % (2386814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.32 % (2386814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.32 % (2386814)CaDiCaL version: 2.1.3
% 3.79/1.32 % (2386814)Termination reason: Refutation
% 3.79/1.32 % (2386814)Time elapsed: 0.007 s
% 3.79/1.32 % (2386814)Peak memory usage: 88 MB
% 3.79/1.32 % (2386814)Instructions burned: 8 (million)
% 3.79/1.32 % (2386814)------------------------------
% 3.79/1.32 % (2386814)------------------------------
% 3.79/1.32 % (2386805)Success in time 0.445 s
% 3.79/1.32 % Vampire exiting
%------------------------------------------------------------------------------