%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM009-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:39:22 AM UTC 2026
% Result : Unsatisfiable 3.49s 1.26s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1436,axiom,
! [X0,X1] :
( ~ c_UNITY_Oall__total(X0,X1)
| c_UNITY_Ototalize(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).
fof(f1437,axiom,
! [X0,X1] : c_UNITY_Oall__total(c_UNITY_Ototalize(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).
fof(f1450,negated_conjecture,
( c_UNITY_Ototalize(v_F,t_a) != v_F
| ~ c_UNITY_Oall__total(v_F,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1451,plain,
( v_F != c_UNITY_Ototalize(v_F,t_a)
| ~ c_UNITY_Oall__total(v_F,t_a) ),
inference(reorient_equations,[],[f1450]) ).
fof(f1452,negated_conjecture,
( c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) = v_F ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1453,plain,
( c_UNITY_Oall__total(v_F,t_a)
| v_F = c_UNITY_Ototalize(v_F,t_a) ),
inference(reorient_equations,[],[f1452]) ).
fof(f1454,plain,
v_F = c_UNITY_Ototalize(v_F,t_a),
inference(forward_subsumption_resolution,[],[f1453,f1436]) ).
fof(f1455,plain,
~ c_UNITY_Oall__total(v_F,t_a),
inference(forward_subsumption_resolution,[],[f1451,f1436]) ).
fof(f1456,plain,
c_UNITY_Oall__total(v_F,t_a),
inference(superposition,[],[f1437,f1454]) ).
fof(f1457,plain,
$false,
inference(forward_subsumption_resolution,[],[f1456,f1455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM009-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n020.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 21:45:04 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running first-order theorem proving
% 0.08/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.49/1.26 % (605391)Input is clausal, will run a generic CNF schedule.
% 3.49/1.26 % (605398)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2273959653:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.26 % (605399)lrs+10_1_sil=8000:sp=occurrence:random_seed=2596534359:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.26 % (605396)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=856825151:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.26 % (605400)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2977665709:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.26 % (605397)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2517604073:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.26 % (605401)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1316637230:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.26 % (605402)dis-21_1_sil=8000:lcm=predicate:random_seed=3662418972: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)
% 3.49/1.26 % (605399)First to succeed.
% 3.49/1.26 % (605399)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-605391"
% 3.49/1.26 % (605400)Also succeeded, but the first one will report.
% 3.49/1.26 % (605401)Also succeeded, but the first one will report.
% 3.49/1.26 % (605402)Instruction limit reached!
% 3.49/1.26 % (605402)------------------------------
% 3.49/1.26 % (605402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.26 % (605402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.26 % (605402)CaDiCaL version: 2.1.3
% 3.49/1.26 % (605402)Termination reason: Instruction limit
% 3.49/1.26 % (605402)Termination phase: Saturation
% 3.49/1.26 % (605402)Time elapsed: 0.072 s
% 3.49/1.26 % (605402)Peak memory usage: 90 MB
% 3.49/1.26 % (605402)Instructions burned: 118 (million)
% 3.49/1.26 % (605410)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=574816118:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.49/1.26 % (605410)Also succeeded, but the first one will report.
% 3.49/1.26 % (605399)Refutation found. Thanks to Tanya!
% 3.49/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.26 % (605399)------------------------------
% 3.49/1.26 % (605399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.26 % (605399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.26 % (605399)CaDiCaL version: 2.1.3
% 3.49/1.26 % (605399)Termination reason: Refutation
% 3.49/1.26 % (605399)Time elapsed: 0.003 s
% 3.49/1.26 % (605399)Peak memory usage: 89 MB
% 3.49/1.26 % (605399)Instructions burned: 3 (million)
% 3.49/1.26 % (605399)------------------------------
% 3.49/1.26 % (605399)------------------------------
% 3.49/1.26 % (605391)Success in time 0.429 s
% 3.49/1.26 % Vampire exiting
%------------------------------------------------------------------------------